Optimal solution of multi-objective linear programming with inf-→ fuzzy relation equations constraint
This paper aims to solve the problem of multiple-objective linear optimization model subject to a system of inf-→ composition fuzzy relation equations, where → is R-, S- or QL-implications generated by continuous Archimedean t-norm (s-norm). Since the feasible domain of inf-→ relation equations cons...
Uloženo v:
| Vydáno v: | Information sciences Ročník 271; s. 159 - 178 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Inc
01.07.2014
|
| Témata: | |
| ISSN: | 0020-0255, 1872-6291 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | This paper aims to solve the problem of multiple-objective linear optimization model subject to a system of inf-→ composition fuzzy relation equations, where → is R-, S- or QL-implications generated by continuous Archimedean t-norm (s-norm). Since the feasible domain of inf-→ relation equations constraint is nonconvex, these traditional mathematical programming techniques may have difficulty in computing efficient solutions for this problem. Therefore, we firstly investigate the solution sets of a system of inf-→ composition fuzzy relation equations in order to characterize the feasible domain of this problem. And then employing the smallest solution of constraint equation, we yield the optimal values of linear objective functions subject to a system of inf-→ composition fuzzy relation equations. Secondly, the two-phase approach is applied to generate an efficient solution for the problem of multiple-objective linear optimization model subject to a system of inf-→ composition fuzzy relation equations. Finally, a procedure is represented to compute the optimal solution of multiple-objective linear programming with inf-→ composition fuzzy relation equations constraint. In addition, three numerical examples are provided to illustrate the proposed procedure. |
|---|---|
| AbstractList | This paper aims to solve the problem of multiple-objective linear optimization model subject to a system of inf-→ composition fuzzy relation equations, where → is R-, S- or QL-implications generated by continuous Archimedean t-norm (s-norm). Since the feasible domain of inf-→ relation equations constraint is nonconvex, these traditional mathematical programming techniques may have difficulty in computing efficient solutions for this problem. Therefore, we firstly investigate the solution sets of a system of inf-→ composition fuzzy relation equations in order to characterize the feasible domain of this problem. And then employing the smallest solution of constraint equation, we yield the optimal values of linear objective functions subject to a system of inf-→ composition fuzzy relation equations. Secondly, the two-phase approach is applied to generate an efficient solution for the problem of multiple-objective linear optimization model subject to a system of inf-→ composition fuzzy relation equations. Finally, a procedure is represented to compute the optimal solution of multiple-objective linear programming with inf-→ composition fuzzy relation equations constraint. In addition, three numerical examples are provided to illustrate the proposed procedure. |
| Author | Li, De-Chao Geng, Sheng-Ling |
| Author_xml | – sequence: 1 givenname: De-Chao surname: Li fullname: Li, De-Chao email: dch1831@163.com organization: School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316004, China – sequence: 2 givenname: Sheng-Ling surname: Geng fullname: Geng, Sheng-Ling organization: School of Computer Science, Qinghai Normal University, Xining 810008, China |
| BookMark | eNp9kE1OwzAQRi1UJNrCAdj5Agm24zqJWKGKP6lSN7C2HMcujhK72G4RPQAH4IicBLdlxaKbmdm8T9-8CRhZZxUA1xjlGGF20-XGhpwgTHNEcozRGRjjqiQZIzUegTFCBGWIzGYXYBJChxCiJWNjsFquoxlED4PrN9E4C52Gw6aPJnNNp2Q0WwV7Y5XwcO3dyothMHYFP0x8g8bq7OfrG-rNbvcJverFIUG9bw5HgDKN6IWx8RKca9EHdfW3p-D14f5l_pQtlo_P87tFJkldxkwVRa3rRhc0XbRqhKh0pQUlWlKsG0wqgZkuW9mWkmpGqCItKVjLKGnaqqmKKSiPudK7ELzSXJp4aLPv0XOM-N4X73jyxfe-OCI8-Uok_keufTLjP08yt0dGpZe2RnkepFFWqtb45I63zpygfwHOfYnp |
| CitedBy_id | crossref_primary_10_1016_j_eswa_2022_116663 crossref_primary_10_1016_j_ins_2019_02_012 crossref_primary_10_1016_j_ins_2023_119497 crossref_primary_10_1016_j_fss_2020_02_010 crossref_primary_10_1016_j_cam_2018_09_051 crossref_primary_10_3233_JIFS_191565 crossref_primary_10_1016_j_ijar_2017_02_002 |
| Cites_doi | 10.1016/j.fss.2008.04.007 10.1016/S0165-0114(01)00052-5 10.1016/j.ins.2010.10.024 10.1016/j.ins.2007.02.037 10.1016/j.ins.2011.06.009 10.1016/j.ins.2013.02.011 10.1016/j.fss.2011.09.008 10.1016/S0165-0114(02)00330-5 10.1109/TFUZZ.2002.800657 10.1016/S0165-0114(98)00417-5 10.1016/S0096-3003(99)00237-4 10.1109/TFUZZ.2007.902018 10.1016/j.fss.2007.04.005 10.1016/j.fss.2011.07.014 10.1016/j.ins.2012.10.038 10.1016/j.camwa.2007.06.028 10.1016/j.ins.2011.12.030 10.1016/j.ins.2013.01.020 10.1016/j.ins.2012.04.002 10.1016/S0165-0114(97)00184-X 10.1016/j.ins.2012.07.019 10.1016/S0096-3003(02)00202-3 10.1016/j.ins.2008.04.004 10.1016/j.ins.2007.12.006 10.1016/S0165-0114(97)00304-7 10.1016/j.ins.2011.04.011 10.1016/j.ins.2007.03.033 10.1016/j.apm.2012.04.040 10.1016/j.ins.2013.05.005 10.1016/j.ins.2011.04.035 10.1016/j.fss.2007.07.002 10.1016/S0165-0114(02)00374-3 10.1016/j.ins.2011.04.042 10.1007/s10700-009-9059-0 10.1016/j.camwa.2011.01.023 10.1016/j.fss.2004.02.004 10.1002/mcda.4020040103 10.1016/j.fss.2011.05.020 10.1016/j.fss.2012.04.009 10.1016/S0019-9958(76)90446-0 10.1007/s11424-009-9146-x 10.1016/j.fss.2008.12.005 10.1007/s10700-008-9029-y 10.1016/j.fss.2007.07.017 10.1109/91.669033 10.1016/j.ins.2007.07.022 10.1016/S0165-0114(85)80005-1 10.1016/S0165-0114(01)00060-4 10.1016/j.ins.2011.04.012 10.1016/j.ins.2007.06.010 10.1023/A:1020955112523 10.1016/j.ins.2007.06.023 10.1016/j.mcm.2008.10.018 10.1016/j.fss.2009.03.007 10.1016/S0165-0114(98)00471-0 10.1016/S0165-0114(02)00214-2 10.1016/j.fss.2013.03.017 10.1016/j.ins.2013.04.004 10.1016/j.fss.2004.12.001 10.1109/91.784204 10.1016/j.fss.2004.09.010 |
| ContentType | Journal Article |
| Copyright | 2014 |
| Copyright_xml | – notice: 2014 |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.ins.2014.02.110 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering Library & Information Science |
| EISSN | 1872-6291 |
| EndPage | 178 |
| ExternalDocumentID | 10_1016_j_ins_2014_02_110 S0020025514002163 |
| GroupedDBID | --K --M --Z -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN 9JO AAAKF AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AARIN AAXUO AAYFN ABAOU ABBOA ABFNM ABJNI ABMAC ABUCO ABXDB ABYKQ ACAZW ACDAQ ACGFS ACRLP ACZNC ADBBV ADEZE ADGUI ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHZHX AIALX AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD APLSM ARUGR AXJTR BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EO8 EO9 EP2 EP3 F5P FDB FIRID FNPLU FYGXN G-Q GBLVA GBOLZ HAMUX IHE J1W JJJVA KOM LG9 LY1 M41 MHUIS MO0 MS~ N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 RIG ROL RPZ SDF SDG SDP SES SPC SPCBC SSB SSD SST SSV SSW SSZ T5K TN5 TWZ WH7 XPP ZMT ~02 ~G- 1OL 29I 77I 9DU AAAKG AAQXK AATTM AAXKI AAYWO AAYXX ABEFU ABWVN ACLOT ACNNM ACRPL ACVFH ADCNI ADJOM ADMUD ADNMO ADVLN AEIPS AEUPX AFFNX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP ASPBG AVWKF AZFZN CITATION EFKBS EJD FEDTE FGOYB HLZ HVGLF HZ~ H~9 R2- SBC SDS SEW UHS WUQ YYP ZY4 ~HD |
| ID | FETCH-LOGICAL-c297t-e339f9bf34e3348baa8f8fa42fc41fb128a16f7dcd7c4f624e2d236d642bd8b83 |
| ISICitedReferencesCount | 11 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000336011900011&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0020-0255 |
| IngestDate | Tue Nov 18 22:26:12 EST 2025 Sat Nov 29 06:24:53 EST 2025 Fri Feb 23 02:23:17 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Fuzzy linear programming Inf-→ composition Fuzzy relation equations constraint Optimal solution |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c297t-e339f9bf34e3348baa8f8fa42fc41fb128a16f7dcd7c4f624e2d236d642bd8b83 |
| PageCount | 20 |
| ParticipantIDs | crossref_citationtrail_10_1016_j_ins_2014_02_110 crossref_primary_10_1016_j_ins_2014_02_110 elsevier_sciencedirect_doi_10_1016_j_ins_2014_02_110 |
| PublicationCentury | 2000 |
| PublicationDate | 2014-07-01 2014-07-00 |
| PublicationDateYYYYMMDD | 2014-07-01 |
| PublicationDate_xml | – month: 07 year: 2014 text: 2014-07-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Information sciences |
| PublicationYear | 2014 |
| Publisher | Elsevier Inc |
| Publisher_xml | – name: Elsevier Inc |
| References | Khorram, Zarei (b0115) 2009; 49 Fan, Huang, Yang (b0045) 2013; 241 Molai (b0195) 2013; 234 Qu, Wang, Lei (b0230) 2014; 234 Wu (b0285) 2007; 177 Chang, Shieh (b0030) 2013; 234 Peeva (b0215) 2013; 234 Li, Wang (b0150) 2008; 55 Wu, Guu (b0290) 2005; 150 Wu, Guu, Liu (b0305) 2002; 10 Jiménez, Bilbao (b0100) 2009; 160 Sun (b0255) 2012; 205 Xiong, Wang (b0315) 2012; 193 Loetamonphong, Fang (b0160) 1999; 7 Klir, Yuan (b0125) 1995 Zhang, Wu, Remias, Lu (b0330) 2003; 39 Fang, Li (b0050) 1999; 103 Bartl, Belohlavek, Vychodil (b0010) 2012; 187 Xu, Zhou (b0320) 2013; 238 Perfilieva (b0220) 2013; 234 Yeh (b0325) 2008; 159 Toksarı (b0265) 2008; 178 Wang, Xiong (b0280) 2005; 153 Guu, Wu (b0080) 2002; 1 Pedrycz (b0210) 2013 Wang (b0270) 1995; 4 Lu, Fang (b0175) 2001; 119 Pal, Moitra, Maulik (b0205) 2003; 139 Shieh (b0245) 2011; 181 Loetamonphong, Fang (b0170) 2001; 118 Luo, Li (b0180) 2004; 148 Guu, Wu (b0075) 2010; 161 Dubey, Chandra, Mehra (b0040) 2012; 188 Ghodousian, Khorram (b0060) 2012; 206 Wu, Guu (b0295) 2008; 16 Nehi, Hajmohamadi (b0200) 2012; 3 Miyakoshi, Shimbo (b0190) 1985; 16 Xiong, Wang (b0310) 2007; 177 Chakraborty, Gupta (b0025) 2002; 125 Maeda (b0185) 2001; 120 Sanchez (b0240) 1976; 30 Sun, Wang, Qu (b0260) 2013; 224 Arikan, Gungor (b0005) 2007; 177 Wu, Guu, Liu (b0300) 2008; 159 Han, Li, Wang (b0095) 2008; 159 Dempe, Ruziyeva (b0035) 2012; 188 Khalili-Damghani, Sadi-Nezhad, Tavana (b0110) 2013; 252 Guu, Wu (b0085) 1999; 107 Li, Fang (b0145) 2009; 8 Li, Fang (b0130) 1998; 6 Qu, Wang (b0225) 2008; 178 G. Birkhoff, Lattice theory, American Mathematical Society Colloquium Publications, vol. 25, revised ed., American Mathematical Society, New York, 1948. Loetamonphong, Fang, Young (b0165) 2002; 127 Li, Fang (b0135) 2008; 7 Klement, Mesiar, Pap (b0120) 2000 Wang (b0275) 2003; 138 Kaur, Kumar (b0105) 2013; 37 Bustince, Burillo, Soria (b0020) 2003; 134 Ghodousian, Khorram (b0065) 2008; 178 Gong, Sun, Ji (b0070) 2013; 233 Li, Xie, Geng (b0155) 2013; 219 Shieh (b0250) 2008; 178 Freson, De Baets, De Meyer (b0055) 2013; 234 Guu, Wu, Lee (b0090) 2011; 61 Li, Fang (b0140) 2009; 22 Rommelfanger (b0235) 2007; 158 Sanchez (10.1016/j.ins.2014.02.110_b0240) 1976; 30 Guu (10.1016/j.ins.2014.02.110_b0080) 2002; 1 Sun (10.1016/j.ins.2014.02.110_b0260) 2013; 224 Wu (10.1016/j.ins.2014.02.110_b0305) 2002; 10 Pedrycz (10.1016/j.ins.2014.02.110_b0210) 2013 Li (10.1016/j.ins.2014.02.110_b0145) 2009; 8 Li (10.1016/j.ins.2014.02.110_b0130) 1998; 6 Molai (10.1016/j.ins.2014.02.110_b0195) 2013; 234 Rommelfanger (10.1016/j.ins.2014.02.110_b0235) 2007; 158 Khalili-Damghani (10.1016/j.ins.2014.02.110_b0110) 2013; 252 10.1016/j.ins.2014.02.110_b0015 Klement (10.1016/j.ins.2014.02.110_b0120) 2000 Ghodousian (10.1016/j.ins.2014.02.110_b0065) 2008; 178 Nehi (10.1016/j.ins.2014.02.110_b0200) 2012; 3 Wang (10.1016/j.ins.2014.02.110_b0275) 2003; 138 Wang (10.1016/j.ins.2014.02.110_b0270) 1995; 4 Li (10.1016/j.ins.2014.02.110_b0140) 2009; 22 Toksarı (10.1016/j.ins.2014.02.110_b0265) 2008; 178 Wang (10.1016/j.ins.2014.02.110_b0280) 2005; 153 Chang (10.1016/j.ins.2014.02.110_b0030) 2013; 234 Wu (10.1016/j.ins.2014.02.110_b0285) 2007; 177 Dubey (10.1016/j.ins.2014.02.110_b0040) 2012; 188 Shieh (10.1016/j.ins.2014.02.110_b0250) 2008; 178 Xiong (10.1016/j.ins.2014.02.110_b0310) 2007; 177 Loetamonphong (10.1016/j.ins.2014.02.110_b0165) 2002; 127 Yeh (10.1016/j.ins.2014.02.110_b0325) 2008; 159 Li (10.1016/j.ins.2014.02.110_b0135) 2008; 7 Freson (10.1016/j.ins.2014.02.110_b0055) 2013; 234 Klir (10.1016/j.ins.2014.02.110_b0125) 1995 Luo (10.1016/j.ins.2014.02.110_b0180) 2004; 148 Jiménez (10.1016/j.ins.2014.02.110_b0100) 2009; 160 Sun (10.1016/j.ins.2014.02.110_b0255) 2012; 205 Kaur (10.1016/j.ins.2014.02.110_b0105) 2013; 37 Li (10.1016/j.ins.2014.02.110_b0150) 2008; 55 Fang (10.1016/j.ins.2014.02.110_b0050) 1999; 103 Dempe (10.1016/j.ins.2014.02.110_b0035) 2012; 188 Maeda (10.1016/j.ins.2014.02.110_b0185) 2001; 120 Guu (10.1016/j.ins.2014.02.110_b0085) 1999; 107 Wu (10.1016/j.ins.2014.02.110_b0300) 2008; 159 Zhang (10.1016/j.ins.2014.02.110_b0330) 2003; 39 Qu (10.1016/j.ins.2014.02.110_b0230) 2014; 234 Ghodousian (10.1016/j.ins.2014.02.110_b0060) 2012; 206 Xiong (10.1016/j.ins.2014.02.110_b0315) 2012; 193 Wu (10.1016/j.ins.2014.02.110_b0295) 2008; 16 Gong (10.1016/j.ins.2014.02.110_b0070) 2013; 233 Peeva (10.1016/j.ins.2014.02.110_b0215) 2013; 234 Bartl (10.1016/j.ins.2014.02.110_b0010) 2012; 187 Xu (10.1016/j.ins.2014.02.110_b0320) 2013; 238 Li (10.1016/j.ins.2014.02.110_b0155) 2013; 219 Qu (10.1016/j.ins.2014.02.110_b0225) 2008; 178 Miyakoshi (10.1016/j.ins.2014.02.110_b0190) 1985; 16 Chakraborty (10.1016/j.ins.2014.02.110_b0025) 2002; 125 Loetamonphong (10.1016/j.ins.2014.02.110_b0170) 2001; 118 Han (10.1016/j.ins.2014.02.110_b0095) 2008; 159 Shieh (10.1016/j.ins.2014.02.110_b0245) 2011; 181 Guu (10.1016/j.ins.2014.02.110_b0090) 2011; 61 Wu (10.1016/j.ins.2014.02.110_b0290) 2005; 150 Perfilieva (10.1016/j.ins.2014.02.110_b0220) 2013; 234 Bustince (10.1016/j.ins.2014.02.110_b0020) 2003; 134 Pal (10.1016/j.ins.2014.02.110_b0205) 2003; 139 Guu (10.1016/j.ins.2014.02.110_b0075) 2010; 161 Lu (10.1016/j.ins.2014.02.110_b0175) 2001; 119 Khorram (10.1016/j.ins.2014.02.110_b0115) 2009; 49 Arikan (10.1016/j.ins.2014.02.110_b0005) 2007; 177 Fan (10.1016/j.ins.2014.02.110_b0045) 2013; 241 Loetamonphong (10.1016/j.ins.2014.02.110_b0160) 1999; 7 |
| References_xml | – volume: 188 start-page: 68 year: 2012 end-page: 87 ident: b0040 article-title: Fuzzy linear programming under interval uncertainty based on IFS representation publication-title: Fuzzy Sets Syst. – volume: 234 start-page: 44 year: 2013 end-page: 63 ident: b0215 article-title: Resolution of fuzzy relational equations-method, algorithm and software with applications publication-title: Inform. Sci. – volume: 159 start-page: 3347 year: 2008 end-page: 3359 ident: b0300 article-title: Reducing the search space of a linear fractional programming problem under fuzzy relational equations with max-Archimedean t-norm composition publication-title: Fuzzy Sets Syst. – volume: 234 start-page: 86 year: 2013 end-page: 96 ident: b0195 article-title: Resolution of a system of the max-product fuzzy relation equations using publication-title: Inform. Sci. – volume: 238 start-page: 75 year: 2013 end-page: 95 ident: b0320 article-title: Approximation based fuzzy multi-objective models with expected objectives and chance constraints: application to earth-rock work allocation publication-title: Inform. Sci. – volume: 188 start-page: 58 year: 2012 end-page: 67 ident: b0035 article-title: On the calculation of a membership function for the solution of a fuzzy linear optimization problem publication-title: Fuzzy Sets Syst. – volume: 119 start-page: 1 year: 2001 end-page: 20 ident: b0175 article-title: Solving nonlinear optimization problems with fuzzy relation equation constraints publication-title: Fuzzy Sets Syst. – volume: 3 start-page: 31 year: 2012 end-page: 38 ident: b0200 article-title: A ranking function method for solving fuzzy multi-objective linear programming problem publication-title: Ann. Fuzzy Math. Informat. – volume: 125 start-page: 335 year: 2002 end-page: 342 ident: b0025 article-title: Fuzzy mathematical programming for multi objective linear fractional programming problem publication-title: Fuzzy Sets Syst. – volume: 22 start-page: 49 year: 2009 end-page: 62 ident: b0140 article-title: Minimizing a linear fractional function subject to a system of sup-T equations with a continuous Archimedean triangular norm publication-title: J. Syst. Sci. Complex. – volume: 153 start-page: 249 year: 2005 end-page: 260 ident: b0280 article-title: The solution set of a fuzzy relation equation with sup-conjunctor composition in a complete lattice publication-title: Fuzzy Sets Syst. – year: 2013 ident: b0210 article-title: Granular Computing: Analysis and Design of Intelligent Systems – volume: 206 start-page: 89 year: 2012 end-page: 102 ident: b0060 article-title: Linear optimization with an arbitrary fuzzy relational inequality publication-title: Fuzzy Sets Syst. – volume: 10 start-page: 552 year: 2002 end-page: 558 ident: b0305 article-title: An accelerated approach for solving fuzzy relation equations with a linear objective function publication-title: IEEE Trans. Fuzzy Syst. – volume: 139 start-page: 395 year: 2003 end-page: 405 ident: b0205 article-title: A goal programming procedure for fuzzy multi-objective linear fractional programming problem publication-title: Fuzzy Sets Syst. – volume: 8 start-page: 179 year: 2009 end-page: 229 ident: b0145 article-title: A survey on fuzzy relational equations, Part I: classification and solvability publication-title: Fuzzy Optimaz. Decis. Making – volume: 39 start-page: 383 year: 2003 end-page: 399 ident: b0330 article-title: Formulation of fuzzy linear programming problems as four-objective constrained optimization problems publication-title: Appl. Math. Comput. – volume: 252 start-page: 42 year: 2013 end-page: 61 ident: b0110 article-title: Solving multi-period project selection problems with fuzzy goal programming based on TOPSIS and a fuzzy preference relation publication-title: Inform. Sci. – volume: 7 start-page: 441 year: 1999 end-page: 445 ident: b0160 article-title: An efficient solution procedure for fuzzy relation equations with max-product composition publication-title: IEEE Trans. Fuzzy Syst. – volume: 55 start-page: 1961 year: 2008 end-page: 1973 ident: b0150 article-title: Necessary and sufficient conditions for existence of maximal solutions for inf- publication-title: Comput. Math. Appl. – volume: 241 start-page: 12 year: 2013 end-page: 27 ident: b0045 article-title: Generalized fuzzy linear programming for decision making under uncertainty: Feasibility of fuzzy solutions and solving approach publication-title: Inform. Sci. – volume: 138 start-page: 657 year: 2003 end-page: 666 ident: b0275 article-title: Infinite fuzzy relation equations on a complete Brouwerian lattice publication-title: Fuzzy Sets Syst. – volume: 120 start-page: 109 year: 2001 end-page: 121 ident: b0185 article-title: Fuzzy linear programming problems as bicriteria optimization problems publication-title: Appl. Math. Computat. – volume: 219 start-page: 111 year: 2013 end-page: 123 ident: b0155 article-title: Complete solution sets of inf- publication-title: Inform. Sci. – year: 1995 ident: b0125 article-title: Fuzzy Sets and Fuzzy Logic: Theory and Applications – volume: 234 start-page: 71 year: 2013 end-page: 79 ident: b0030 article-title: Linear optimization problem constrained by fuzzy max-min relation equations publication-title: Inform. Sci. – volume: 6 start-page: 321 year: 1998 end-page: 324 ident: b0130 article-title: Solving fuzzy relation equations publication-title: IEEE Trans. Fuzzy Syst. – volume: 148 start-page: 305 year: 2004 end-page: 317 ident: b0180 article-title: Decomposition and resolution of min-implication fuzzy relation equations based on S-implications publication-title: Fuzzy Sets Syst. – volume: 134 start-page: 209 year: 2003 end-page: 229 ident: b0020 article-title: Automorphisms, negation and implication operators publication-title: Fuzzy Sets Syst. – volume: 127 start-page: 141 year: 2002 end-page: 164 ident: b0165 article-title: Multi-objective optimization problems with fuzzy relation equation constraints publication-title: Fuzzy Sets Syst. – volume: 160 start-page: 2714 year: 2009 end-page: 2721 ident: b0100 article-title: Pareto-optimal solutions in fuzzy multi-objective linear programming publication-title: Fuzzy Sets Syst. – volume: 224 start-page: 143 year: 2013 end-page: 151 ident: b0260 article-title: Minimal join decompositions and their applications to fuzzy relation equations over complete Brouwerian lattices publication-title: Inform. Sci. – volume: 103 start-page: 107 year: 1999 end-page: 113 ident: b0050 article-title: Solving fuzzy relation equations with a linear objective function publication-title: Fuzzy Sets Syst. – volume: 1 start-page: 347 year: 2002 end-page: 360 ident: b0080 article-title: Minimizing a linear objective function with fuzzy relation equation constraints publication-title: Fuzzy Optimiz. Decis. Making – volume: 187 start-page: 103 year: 2012 end-page: 112 ident: b0010 article-title: Bivalent and other solutions of fuzzy relational equations via linguistic hedges publication-title: Fuzzy Sets Syst. – volume: 49 start-page: 856 year: 2009 end-page: 867 ident: b0115 article-title: Multi-objective optimization problems with fuzzy relation equation constraints regarding max-average composition publication-title: Math. Comput. Model. – volume: 178 start-page: 1961 year: 2008 end-page: 1967 ident: b0250 article-title: Infinite fuzzy relation equations with continuous t-norms publication-title: Inform. Sci. – volume: 234 start-page: 29 year: 2013 end-page: 43 ident: b0220 article-title: Finitary solvability conditions for systems of fuzzy relation equations publication-title: Inform. Sci. – volume: 177 start-page: 4757 year: 2007 end-page: 4767 ident: b0310 article-title: Solution sets of inf- publication-title: Inform. Sci. – volume: 159 start-page: 23 year: 2008 end-page: 39 ident: b0325 article-title: On the minimal solutions of max-min fuzzy relation equations publication-title: Fuzzy Sets Syst. – volume: 150 start-page: 147 year: 2005 end-page: 162 ident: b0290 article-title: Minimizing a linear function under a fuzzy max-min relational equation constraint publication-title: Fuzzy Sets Syst. – volume: 61 start-page: 1559 year: 2011 end-page: 1566 ident: b0090 article-title: Multi-objective optimization with a max-t-norm fuzzy relational equation constraint publication-title: Comput. Math. Appl. – volume: 177 start-page: 5191 year: 2007 end-page: 5202 ident: b0005 article-title: A two-phase approach for multi-objective programming problems with fuzzy coefficients publication-title: Inform. Sci. – volume: 181 start-page: 832 year: 2011 end-page: 841 ident: b0245 article-title: Minimizing a linear objective function under a fuzzy max-t-norm relation equation constraint publication-title: Inform. Sci. – volume: 4 start-page: 23 year: 1995 end-page: 35 ident: b0270 article-title: A multi-objective mathematical programming with fuzzy relation constraints publication-title: J. Multi-Criteria Decis. Anal. – volume: 7 start-page: 169 year: 2008 end-page: 214 ident: b0135 article-title: On the resolution and optimization of a system of fuzzy relational equations with sup-t composition publication-title: Fuzzy Optimiz. Decis. Making – volume: 234 start-page: 34 year: 2014 end-page: 45 ident: b0230 article-title: Conditions under which the solution sets of fuzzy relational equations over complete Brouwerian lattices form lattices publication-title: Fuzzy Sets Syst. – volume: 193 start-page: 141 year: 2012 end-page: 152 ident: b0315 article-title: Fuzzy relational equations on complete Brouwerian lattices publication-title: Inform. Sci. – volume: 16 start-page: 73 year: 2008 end-page: 84 ident: b0295 article-title: An efficient procedure for solving a fuzzy relation equation with max-Archimedean t-norm composition publication-title: IEEE Trans. Fuzzy Syst. – volume: 161 start-page: 285 year: 2010 end-page: 297 ident: b0075 article-title: Minimizing a linear objective function undera max-t-norm fuzzy relational equation constraint publication-title: Fuzzy Sets Syst. – volume: 107 start-page: 191 year: 1999 end-page: 195 ident: b0085 article-title: Two phase approach for solving the fuzzy linear programming problems publication-title: Fuzzy Sets Syst. – volume: 30 start-page: 38 year: 1976 end-page: 48 ident: b0240 article-title: Resolution of composite fuzzy relation equations publication-title: Inform. Control – reference: G. Birkhoff, Lattice theory, American Mathematical Society Colloquium Publications, vol. 25, revised ed., American Mathematical Society, New York, 1948. – volume: 37 start-page: 1677 year: 2013 end-page: 1693 ident: b0105 article-title: Optimal compromise solution of multi-objective minimal cost flow problems in fuzzy environment publication-title: Appl. Math. Model. – volume: 178 start-page: 501 year: 2008 end-page: 519 ident: b0065 article-title: Fuzzy linear optimization in the presence of the fuzzy relation inequality constraints with max-min composition publication-title: Inform. Sci. – volume: 205 start-page: 86 year: 2012 end-page: 92 ident: b0255 article-title: Conditions for the existence of the least solution and minimal solutions to fuzzy relation equations over complete Brouwerian lattices publication-title: Inform. Sci. – volume: 177 start-page: 4216 year: 2007 end-page: 4229 ident: b0285 article-title: Optimization of fuzzy relational equations with max-av composition publication-title: Inform. Sci. – volume: 178 start-page: 1189 year: 2008 end-page: 1204 ident: b0265 article-title: Taylor series approach to fuzzy multiobjective linear fractional programming publication-title: Inform. Sci. – volume: 158 start-page: 1892 year: 2007 end-page: 1904 ident: b0235 article-title: A general concept for solving linear multicriteria programming problems with crisp, fuzzy or stochastic values publication-title: Fuzzy Sets Syst. – volume: 234 start-page: 3 year: 2013 end-page: 15 ident: b0055 article-title: Linear optimization with bipolar max-min constraints publication-title: Inform. Sci. – volume: 159 start-page: 40 year: 2008 end-page: 46 ident: b0095 article-title: Resolution of matrix equations over arbitrary Brouwerian lattices publication-title: Fuzzy Sets Syst. – volume: 178 start-page: 3482 year: 2008 end-page: 3490 ident: b0225 article-title: Minimization of linear objective functions under the constraints expressed by a system of fuzzy relation equations publication-title: Inform. Sci. – volume: 118 start-page: 509 year: 2001 end-page: 517 ident: b0170 article-title: Optimization of fuzzy relation equations with max-product composition publication-title: Fuzzy Sets Syst. – volume: 16 start-page: 53 year: 1985 end-page: 63 ident: b0190 article-title: Solutions of composite fuzzy relation equations with triangular norms publication-title: Fuzzy Sets Syst. – volume: 233 start-page: 141 year: 2013 end-page: 161 ident: b0070 article-title: Evolutionary algorithms with preference polyhedron for interval multi-objective optimization problems publication-title: Inform. Sci. – year: 2000 ident: b0120 article-title: Triangular Norms – volume: 159 start-page: 3347 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0300 article-title: Reducing the search space of a linear fractional programming problem under fuzzy relational equations with max-Archimedean t-norm composition publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2008.04.007 – volume: 127 start-page: 141 year: 2002 ident: 10.1016/j.ins.2014.02.110_b0165 article-title: Multi-objective optimization problems with fuzzy relation equation constraints publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(01)00052-5 – volume: 181 start-page: 832 year: 2011 ident: 10.1016/j.ins.2014.02.110_b0245 article-title: Minimizing a linear objective function under a fuzzy max-t-norm relation equation constraint publication-title: Inform. Sci. doi: 10.1016/j.ins.2010.10.024 – volume: 177 start-page: 4216 year: 2007 ident: 10.1016/j.ins.2014.02.110_b0285 article-title: Optimization of fuzzy relational equations with max-av composition publication-title: Inform. Sci. doi: 10.1016/j.ins.2007.02.037 – volume: 234 start-page: 3 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0055 article-title: Linear optimization with bipolar max-min constraints publication-title: Inform. Sci. doi: 10.1016/j.ins.2011.06.009 – volume: 238 start-page: 75 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0320 article-title: Approximation based fuzzy multi-objective models with expected objectives and chance constraints: application to earth-rock work allocation publication-title: Inform. Sci. doi: 10.1016/j.ins.2013.02.011 – volume: 188 start-page: 68 year: 2012 ident: 10.1016/j.ins.2014.02.110_b0040 article-title: Fuzzy linear programming under interval uncertainty based on IFS representation publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2011.09.008 – volume: 138 start-page: 657 year: 2003 ident: 10.1016/j.ins.2014.02.110_b0275 article-title: Infinite fuzzy relation equations on a complete Brouwerian lattice publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(02)00330-5 – volume: 10 start-page: 552 year: 2002 ident: 10.1016/j.ins.2014.02.110_b0305 article-title: An accelerated approach for solving fuzzy relation equations with a linear objective function publication-title: IEEE Trans. Fuzzy Syst. doi: 10.1109/TFUZZ.2002.800657 – ident: 10.1016/j.ins.2014.02.110_b0015 – volume: 118 start-page: 509 year: 2001 ident: 10.1016/j.ins.2014.02.110_b0170 article-title: Optimization of fuzzy relation equations with max-product composition publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(98)00417-5 – volume: 120 start-page: 109 year: 2001 ident: 10.1016/j.ins.2014.02.110_b0185 article-title: Fuzzy linear programming problems as bicriteria optimization problems publication-title: Appl. Math. Computat. doi: 10.1016/S0096-3003(99)00237-4 – volume: 16 start-page: 73 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0295 article-title: An efficient procedure for solving a fuzzy relation equation with max-Archimedean t-norm composition publication-title: IEEE Trans. Fuzzy Syst. doi: 10.1109/TFUZZ.2007.902018 – volume: 158 start-page: 1892 year: 2007 ident: 10.1016/j.ins.2014.02.110_b0235 article-title: A general concept for solving linear multicriteria programming problems with crisp, fuzzy or stochastic values publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2007.04.005 – volume: 188 start-page: 58 year: 2012 ident: 10.1016/j.ins.2014.02.110_b0035 article-title: On the calculation of a membership function for the solution of a fuzzy linear optimization problem publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2011.07.014 – volume: 224 start-page: 143 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0260 article-title: Minimal join decompositions and their applications to fuzzy relation equations over complete Brouwerian lattices publication-title: Inform. Sci. doi: 10.1016/j.ins.2012.10.038 – volume: 55 start-page: 1961 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0150 article-title: Necessary and sufficient conditions for existence of maximal solutions for inf-α composite fuzzy relation equations publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2007.06.028 – volume: 193 start-page: 141 year: 2012 ident: 10.1016/j.ins.2014.02.110_b0315 article-title: Fuzzy relational equations on complete Brouwerian lattices publication-title: Inform. Sci. doi: 10.1016/j.ins.2011.12.030 – volume: 233 start-page: 141 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0070 article-title: Evolutionary algorithms with preference polyhedron for interval multi-objective optimization problems publication-title: Inform. Sci. doi: 10.1016/j.ins.2013.01.020 – volume: 205 start-page: 86 year: 2012 ident: 10.1016/j.ins.2014.02.110_b0255 article-title: Conditions for the existence of the least solution and minimal solutions to fuzzy relation equations over complete Brouwerian lattices publication-title: Inform. Sci. doi: 10.1016/j.ins.2012.04.002 – volume: 103 start-page: 107 year: 1999 ident: 10.1016/j.ins.2014.02.110_b0050 article-title: Solving fuzzy relation equations with a linear objective function publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(97)00184-X – volume: 219 start-page: 111 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0155 article-title: Complete solution sets of inf-→ interval-valued fuzzy relation equations publication-title: Inform. Sci. doi: 10.1016/j.ins.2012.07.019 – volume: 39 start-page: 383 year: 2003 ident: 10.1016/j.ins.2014.02.110_b0330 article-title: Formulation of fuzzy linear programming problems as four-objective constrained optimization problems publication-title: Appl. Math. Comput. doi: 10.1016/S0096-3003(02)00202-3 – volume: 178 start-page: 3482 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0225 article-title: Minimization of linear objective functions under the constraints expressed by a system of fuzzy relation equations publication-title: Inform. Sci. doi: 10.1016/j.ins.2008.04.004 – volume: 178 start-page: 1961 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0250 article-title: Infinite fuzzy relation equations with continuous t-norms publication-title: Inform. Sci. doi: 10.1016/j.ins.2007.12.006 – volume: 107 start-page: 191 year: 1999 ident: 10.1016/j.ins.2014.02.110_b0085 article-title: Two phase approach for solving the fuzzy linear programming problems publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(97)00304-7 – volume: 234 start-page: 44 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0215 article-title: Resolution of fuzzy relational equations-method, algorithm and software with applications publication-title: Inform. Sci. doi: 10.1016/j.ins.2011.04.011 – volume: 177 start-page: 4757 year: 2007 ident: 10.1016/j.ins.2014.02.110_b0310 article-title: Solution sets of inf-αT fuzzy relation equations on complete Brouwerian lattices publication-title: Inform. Sci. doi: 10.1016/j.ins.2007.03.033 – year: 2000 ident: 10.1016/j.ins.2014.02.110_b0120 – volume: 37 start-page: 1677 issue: 4 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0105 article-title: Optimal compromise solution of multi-objective minimal cost flow problems in fuzzy environment publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2012.04.040 – volume: 252 start-page: 42 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0110 article-title: Solving multi-period project selection problems with fuzzy goal programming based on TOPSIS and a fuzzy preference relation publication-title: Inform. Sci. doi: 10.1016/j.ins.2013.05.005 – volume: 234 start-page: 29 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0220 article-title: Finitary solvability conditions for systems of fuzzy relation equations publication-title: Inform. Sci. doi: 10.1016/j.ins.2011.04.035 – year: 2013 ident: 10.1016/j.ins.2014.02.110_b0210 – volume: 159 start-page: 40 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0095 article-title: Resolution of matrix equations over arbitrary Brouwerian lattices publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2007.07.002 – volume: 139 start-page: 395 year: 2003 ident: 10.1016/j.ins.2014.02.110_b0205 article-title: A goal programming procedure for fuzzy multi-objective linear fractional programming problem publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(02)00374-3 – volume: 234 start-page: 71 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0030 article-title: Linear optimization problem constrained by fuzzy max-min relation equations publication-title: Inform. Sci. doi: 10.1016/j.ins.2011.04.042 – volume: 8 start-page: 179 year: 2009 ident: 10.1016/j.ins.2014.02.110_b0145 article-title: A survey on fuzzy relational equations, Part I: classification and solvability publication-title: Fuzzy Optimaz. Decis. Making doi: 10.1007/s10700-009-9059-0 – volume: 61 start-page: 1559 year: 2011 ident: 10.1016/j.ins.2014.02.110_b0090 article-title: Multi-objective optimization with a max-t-norm fuzzy relational equation constraint publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2011.01.023 – volume: 148 start-page: 305 year: 2004 ident: 10.1016/j.ins.2014.02.110_b0180 article-title: Decomposition and resolution of min-implication fuzzy relation equations based on S-implications publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2004.02.004 – volume: 4 start-page: 23 year: 1995 ident: 10.1016/j.ins.2014.02.110_b0270 article-title: A multi-objective mathematical programming with fuzzy relation constraints publication-title: J. Multi-Criteria Decis. Anal. doi: 10.1002/mcda.4020040103 – volume: 187 start-page: 103 year: 2012 ident: 10.1016/j.ins.2014.02.110_b0010 article-title: Bivalent and other solutions of fuzzy relational equations via linguistic hedges publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2011.05.020 – year: 1995 ident: 10.1016/j.ins.2014.02.110_b0125 – volume: 206 start-page: 89 year: 2012 ident: 10.1016/j.ins.2014.02.110_b0060 article-title: Linear optimization with an arbitrary fuzzy relational inequality publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2012.04.009 – volume: 30 start-page: 38 year: 1976 ident: 10.1016/j.ins.2014.02.110_b0240 article-title: Resolution of composite fuzzy relation equations publication-title: Inform. Control doi: 10.1016/S0019-9958(76)90446-0 – volume: 22 start-page: 49 issue: 1 year: 2009 ident: 10.1016/j.ins.2014.02.110_b0140 article-title: Minimizing a linear fractional function subject to a system of sup-T equations with a continuous Archimedean triangular norm publication-title: J. Syst. Sci. Complex. doi: 10.1007/s11424-009-9146-x – volume: 160 start-page: 2714 year: 2009 ident: 10.1016/j.ins.2014.02.110_b0100 article-title: Pareto-optimal solutions in fuzzy multi-objective linear programming publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2008.12.005 – volume: 7 start-page: 169 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0135 article-title: On the resolution and optimization of a system of fuzzy relational equations with sup-t composition publication-title: Fuzzy Optimiz. Decis. Making doi: 10.1007/s10700-008-9029-y – volume: 159 start-page: 23 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0325 article-title: On the minimal solutions of max-min fuzzy relation equations publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2007.07.017 – volume: 6 start-page: 321 year: 1998 ident: 10.1016/j.ins.2014.02.110_b0130 article-title: Solving fuzzy relation equations publication-title: IEEE Trans. Fuzzy Syst. doi: 10.1109/91.669033 – volume: 178 start-page: 501 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0065 article-title: Fuzzy linear optimization in the presence of the fuzzy relation inequality constraints with max-min composition publication-title: Inform. Sci. doi: 10.1016/j.ins.2007.07.022 – volume: 16 start-page: 53 year: 1985 ident: 10.1016/j.ins.2014.02.110_b0190 article-title: Solutions of composite fuzzy relation equations with triangular norms publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(85)80005-1 – volume: 125 start-page: 335 year: 2002 ident: 10.1016/j.ins.2014.02.110_b0025 article-title: Fuzzy mathematical programming for multi objective linear fractional programming problem publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(01)00060-4 – volume: 234 start-page: 86 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0195 article-title: Resolution of a system of the max-product fuzzy relation equations using L∘U-factorization publication-title: Inform. Sci. doi: 10.1016/j.ins.2011.04.012 – volume: 3 start-page: 31 issue: 1 year: 2012 ident: 10.1016/j.ins.2014.02.110_b0200 article-title: A ranking function method for solving fuzzy multi-objective linear programming problem publication-title: Ann. Fuzzy Math. Informat. – volume: 178 start-page: 1189 year: 2008 ident: 10.1016/j.ins.2014.02.110_b0265 article-title: Taylor series approach to fuzzy multiobjective linear fractional programming publication-title: Inform. Sci. doi: 10.1016/j.ins.2007.06.010 – volume: 1 start-page: 347 issue: 4 year: 2002 ident: 10.1016/j.ins.2014.02.110_b0080 article-title: Minimizing a linear objective function with fuzzy relation equation constraints publication-title: Fuzzy Optimiz. Decis. Making doi: 10.1023/A:1020955112523 – volume: 177 start-page: 5191 year: 2007 ident: 10.1016/j.ins.2014.02.110_b0005 article-title: A two-phase approach for multi-objective programming problems with fuzzy coefficients publication-title: Inform. Sci. doi: 10.1016/j.ins.2007.06.023 – volume: 49 start-page: 856 year: 2009 ident: 10.1016/j.ins.2014.02.110_b0115 article-title: Multi-objective optimization problems with fuzzy relation equation constraints regarding max-average composition publication-title: Math. Comput. Model. doi: 10.1016/j.mcm.2008.10.018 – volume: 161 start-page: 285 year: 2010 ident: 10.1016/j.ins.2014.02.110_b0075 article-title: Minimizing a linear objective function undera max-t-norm fuzzy relational equation constraint publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2009.03.007 – volume: 119 start-page: 1 year: 2001 ident: 10.1016/j.ins.2014.02.110_b0175 article-title: Solving nonlinear optimization problems with fuzzy relation equation constraints publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(98)00471-0 – volume: 134 start-page: 209 year: 2003 ident: 10.1016/j.ins.2014.02.110_b0020 article-title: Automorphisms, negation and implication operators publication-title: Fuzzy Sets Syst. doi: 10.1016/S0165-0114(02)00214-2 – volume: 234 start-page: 34 year: 2014 ident: 10.1016/j.ins.2014.02.110_b0230 article-title: Conditions under which the solution sets of fuzzy relational equations over complete Brouwerian lattices form lattices publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2013.03.017 – volume: 241 start-page: 12 year: 2013 ident: 10.1016/j.ins.2014.02.110_b0045 article-title: Generalized fuzzy linear programming for decision making under uncertainty: Feasibility of fuzzy solutions and solving approach publication-title: Inform. Sci. doi: 10.1016/j.ins.2013.04.004 – volume: 153 start-page: 249 year: 2005 ident: 10.1016/j.ins.2014.02.110_b0280 article-title: The solution set of a fuzzy relation equation with sup-conjunctor composition in a complete lattice publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2004.12.001 – volume: 7 start-page: 441 year: 1999 ident: 10.1016/j.ins.2014.02.110_b0160 article-title: An efficient solution procedure for fuzzy relation equations with max-product composition publication-title: IEEE Trans. Fuzzy Syst. doi: 10.1109/91.784204 – volume: 150 start-page: 147 year: 2005 ident: 10.1016/j.ins.2014.02.110_b0290 article-title: Minimizing a linear function under a fuzzy max-min relational equation constraint publication-title: Fuzzy Sets Syst. doi: 10.1016/j.fss.2004.09.010 |
| SSID | ssj0004766 |
| Score | 2.1695144 |
| Snippet | This paper aims to solve the problem of multiple-objective linear optimization model subject to a system of inf-→ composition fuzzy relation equations, where →... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 159 |
| SubjectTerms | Fuzzy linear programming Fuzzy relation equations constraint Inf-[formula omitted] composition Optimal solution |
| Title | Optimal solution of multi-objective linear programming with inf-→ fuzzy relation equations constraint |
| URI | https://dx.doi.org/10.1016/j.ins.2014.02.110 |
| Volume | 271 |
| WOSCitedRecordID | wos000336011900011&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1872-6291 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0004766 issn: 0020-0255 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3NbtQwELag5QAHBAVEC0U-AAcqSxvbG8fHqioCVBUORdpblDg2ZdVmS7uL2j4AD8Aj8iTMxOPsbvkRIHGJoiiOo8yX8Tfj-WHs6dBr773JBdJfoaWzwlamElh4RNfOG6Vc12zC7O8Xo5F9Rzv4Z107AdO2xfm5PfmvooZrIGxMnf0LcfcPhQtwDkKHI4gdjn8k-LegBI4xC4Rm6XbQMWxQTOpxVG9byC2xxnUMzjruHbIwv-jCH_JnVm6F2eXlBWW7wHP8pxnFzTkkldhbYsmxT5lN3b20sPaEfS_ms3uxc1hN-pgfT77qQzgRe2kRJR9Epvt4VXKMpeSYpdhNZKICTZa41ET9WhgpchkbdCUFLGMTFlKhGVUIj6txFhv8_KDoo89hDNYJ1lzPNBZezShAdrl-Nm5Hd5YTmJJAaHJ1na1KM7SgAle3X--O3szTaE3c2k7vnTbBu3DAKxP9nMYsUJODO-w22RR8O2LhLrvm2zV2a6HS5BrbpPwU_pwviImTZr_HPhBqeEINnwR-BTU8ooYvoIYjajii5tuXr7zDC0944T1e-Bwv99n7l7sHO68E9eAQTlozFV4pG2wdlPaYs11XVRGKUGkZnM5CDeymyvJgGtcYp0MutZeNVHkDZm3dFHWhHrCVdtL6h4wHGxrZDGs9zByWJLLKa6esspWvgGe6dTZIn7R0VKAe3-2oTJGI4xKkUKIUyoEE23Wwzl70Q05idZbf3ayTnEr6CyJtLAFUvx628W_DHrGb8z_lMVuZns78JrvhPk8_np0-Ieh9BzpGoeM |
| linkProvider | Elsevier |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Optimal+solution+of+multi-objective+linear+programming+with+inf-%E2%86%92+fuzzy+relation+equations+constraint&rft.jtitle=Information+sciences&rft.au=Li%2C+De-Chao&rft.au=Geng%2C+Sheng-Ling&rft.date=2014-07-01&rft.pub=Elsevier+Inc&rft.issn=0020-0255&rft.eissn=1872-6291&rft.volume=271&rft.spage=159&rft.epage=178&rft_id=info:doi/10.1016%2Fj.ins.2014.02.110&rft.externalDocID=S0020025514002163 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-0255&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-0255&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-0255&client=summon |