Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters
In this paper, we present interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters. Using the level sets of fuzzy parameters, the corresponding nonfuzzy two-level linear fractional programming problem is introduced. In our interactive method, after det...
Uložené v:
| Vydané v: | Fuzzy sets and systems Ročník 115; číslo 1; s. 93 - 103 |
|---|---|
| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier B.V
01.10.2000
|
| Predmet: | |
| ISSN: | 0165-0114, 1872-6801 |
| On-line prístup: | Získať plný text |
| Tagy: |
Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
|
| Abstract | In this paper, we present interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters. Using the level sets of fuzzy parameters, the corresponding nonfuzzy two-level linear fractional programming problem is introduced. In our interactive method, after determining fuzzy goals of decision makers at both levels, a satisfactory solution is derived efficiently by updating a minimal satisfactory level of the decision maker at the upper level with considerations of overall satisfactory balance between both levels. The satisfactory solution well-balanced between both levels is easily computed by combined use of the bisection method, the phase one of the simplex method and the variable transformation method by Charnes and Cooper. An illustrative numerical example for two-level linear fractional programming problems with fuzzy parameters is provided to demonstrate the feasibility of the proposed method. |
|---|---|
| AbstractList | In this paper, we present interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters. Using the level sets of fuzzy parameters, the corresponding nonfuzzy two-level linear fractional programming problem is introduced. In our interactive method, after determining fuzzy goals of decision makers at both levels, a satisfactory solution is derived efficiently by updating a minimal satisfactory level of the decision maker at the upper level with considerations of overall satisfactory balance between both levels. The satisfactory solution well-balanced between both levels is easily computed by combined use of the bisection method, the phase one of the simplex method and the variable transformation method by Charnes and Cooper. An illustrative numerical example for two-level linear fractional programming problems with fuzzy parameters is provided to demonstrate the feasibility of the proposed method. |
| Author | Uemura, Yoshio Sakawa, Masatoshi Nishizaki, Ichiro |
| Author_xml | – sequence: 1 givenname: Masatoshi surname: Sakawa fullname: Sakawa, Masatoshi email: sakawa@msl.sys.hiroshima-u.ac.jp organization: Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima, 739-8527 Japan – sequence: 2 givenname: Ichiro surname: Nishizaki fullname: Nishizaki, Ichiro organization: Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-Hiroshima, 739-8527 Japan – sequence: 3 givenname: Yoshio surname: Uemura fullname: Uemura, Yoshio organization: Products Projects Development Department, Juken Sangyou Co., Ltd., 1-1 Mokuzaikouminami, Hatsukaichi, Hiroshima, 738-8502 Japan |
| BookMark | eNqFkE1LAzEQhoNUsK3-BCFHPawmu5vdBA8ixY-C4EE9h2x20kb2oySxpf31pq0KeullZmCe9x3mHaFB13eA0DklV5TQ4vo1FpYQSvMLIS4JIWmZsCM0pLxMk4ITOkDDX-QEjbz_iBClBRmi-bQL4JQOdgnYfG42a7xw_cyptrXdDJve4bDqkwaW0ODGdqAcNju-71Tzh41z1UDr8cqG-Y-XiluIF_wpOjaq8XD23cfo_eH-bfKUPL88Tid3z4nOSBkSSHmZMw1MC0qFAlZlWSVKVgmVm7qqqY4ASTXPc-BK5QVXnAhQDEpea2OyMWJ7X-167x0YuXC2VW4tKZHbuOQuLrnNQgohd3FJFnU3_3TaBrV9Mzhlm4Pq270a4mtLC056baHTUFsHOsi6twccvgAfZIn7 |
| CitedBy_id | crossref_primary_10_1016_j_mcm_2006_05_008 crossref_primary_10_1007_s12597_013_0145_2 crossref_primary_10_1016_S0165_0114_01_00134_8 crossref_primary_10_1007_s12597_016_0290_5 crossref_primary_10_1016_j_ins_2013_03_024 crossref_primary_10_1016_j_eswa_2013_10_027 crossref_primary_10_1016_j_ins_2013_03_003 crossref_primary_10_1016_j_jclepro_2021_125942 crossref_primary_10_1016_j_fss_2006_04_001 crossref_primary_10_1016_S1874_8651_09_60030_2 crossref_primary_10_1016_j_eswa_2007_09_011 crossref_primary_10_1016_j_knosys_2007_01_003 crossref_primary_10_3390_math11153383 crossref_primary_10_3390_math9080835 crossref_primary_10_1007_s00500_006_0067_5 crossref_primary_10_1111_j_1467_8640_2011_00379_x crossref_primary_10_1016_j_apm_2013_02_012 crossref_primary_10_1007_s12190_023_01860_0 crossref_primary_10_1016_S0377_2217_00_00309_X crossref_primary_10_1177_0954405412462655 crossref_primary_10_1016_j_eswa_2012_08_048 crossref_primary_10_1007_s13198_024_02298_8 crossref_primary_10_1016_j_knosys_2014_12_016 crossref_primary_10_1016_j_camwa_2007_10_023 crossref_primary_10_1007_s12597_020_00461_w crossref_primary_10_1016_j_amc_2005_11_121 crossref_primary_10_1016_j_eswa_2012_10_052 crossref_primary_10_1016_j_mcm_2011_08_006 crossref_primary_10_1007_s12190_008_0052_5 crossref_primary_10_1016_j_omega_2005_08_005 crossref_primary_10_1080_02331930600819613 crossref_primary_10_1016_j_jhydrol_2022_128155 crossref_primary_10_1155_2013_435030 crossref_primary_10_1007_s40819_017_0467_5 crossref_primary_10_1007_s11831_017_9216_5 crossref_primary_10_1007_s12597_017_0307_8 crossref_primary_10_1016_j_ins_2007_05_007 crossref_primary_10_1016_j_ins_2016_01_084 crossref_primary_10_1061__ASCE_WR_1943_5452_0000518 crossref_primary_10_1007_s00500_018_3217_7 crossref_primary_10_1016_j_eswa_2012_05_024 crossref_primary_10_1016_S0377_2217_01_00273_9 |
| Cites_doi | 10.1007/BF01096412 10.1287/mnsc.17.4.B141 10.1002/nav.3800090303 10.1287/opre.21.1.22 10.1016/0305-0548(95)00007-9 10.1016/0377-2217(81)90029-1 10.1016/0165-0114(84)90023-X 10.1016/0305-0548(82)90007-7 10.1016/0165-0114(88)90195-9 10.1016/0165-0114(78)90031-3 10.1016/0165-0114(95)00086-0 10.1016/S0165-0114(98)00130-4 10.1016/S0898-1221(98)00118-7 10.1287/mnsc.30.8.1004 10.1287/mnsc.27.9.1024 10.1016/0165-0114(90)90188-C 10.1080/01969728508927781 |
| ContentType | Journal Article |
| Copyright | 2000 Elsevier Science B.V. |
| Copyright_xml | – notice: 2000 Elsevier Science B.V. |
| DBID | AAYXX CITATION |
| DOI | 10.1016/S0165-0114(99)00027-5 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1872-6801 |
| EndPage | 103 |
| ExternalDocumentID | 10_1016_S0165_0114_99_00027_5 S0165011499000275 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1OL 1RT 1~. 1~5 29H 4.4 457 4G. 5VS 7-5 71M 8P~ 9JN 9JO AAAKF AAAKG AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AARIN AAXUO AAYFN ABAOU ABBOA ABEFU ABFNM ABJNI ABMAC ABUCO ABXDB ABYKQ ACAZW ACDAQ ACGFS ACNCT ACNNM ACRLP ACZNC ADBBV ADEZE ADGUI ADJOM ADMUD ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHZHX AI. AIALX AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD APLSM ARUGR ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F0J FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q GBLVA GBOLZ HAMUX HLZ HVGLF HZ~ IHE J1W JJJVA K-O KOM LG9 LY1 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SBC SDF SDG SDP SDS SES SEW SPC SPCBC SSB SSD SST SSV SSW SSZ T5K TN5 VH1 WH7 WUQ XPP ZMT ~02 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD |
| ID | FETCH-LOGICAL-c307t-e28745ce5c9119ae5b33b975b9a4fdbd1c28702c844e8aa468a809ea5e78dcff3 |
| ISICitedReferencesCount | 56 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000088643600008&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0165-0114 |
| IngestDate | Sat Nov 29 02:00:07 EST 2025 Tue Nov 18 22:18:57 EST 2025 Fri Feb 23 02:27:23 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Interactive methods Fuzzy goals Two-level linear fractional programming problems Fuzzy parameters Fuzzy programming |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c307t-e28745ce5c9119ae5b33b975b9a4fdbd1c28702c844e8aa468a809ea5e78dcff3 |
| PageCount | 11 |
| ParticipantIDs | crossref_primary_10_1016_S0165_0114_99_00027_5 crossref_citationtrail_10_1016_S0165_0114_99_00027_5 elsevier_sciencedirect_doi_10_1016_S0165_0114_99_00027_5 |
| PublicationCentury | 2000 |
| PublicationDate | 2000-10-01 |
| PublicationDateYYYYMMDD | 2000-10-01 |
| PublicationDate_xml | – month: 10 year: 2000 text: 2000-10-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationTitle | Fuzzy sets and systems |
| PublicationYear | 2000 |
| Publisher | Elsevier B.V |
| Publisher_xml | – name: Elsevier B.V |
| References | Zimmermann (BIB21) 1978; 1 Sakawa, Yumine (BIB17) 1983; 5 Steuer (BIB19) 1986 Sakawa (BIB11) 1993 Kornbluth, Steuer (BIB7) 1981; 8 Sakawa, Nishizaki, Uemura (BIB13) 2000; 109 Sakawa, Yano (BIB16) 1990; 35 Bitran, Novaes (BIB5) 1973; 21 Bellman, Zadeh (BIB3) 1970; 17 Charnes, Cooper (BIB6) 1962; 9 Luhandjula (BIB10) 1984; 13 Lai (BIB9) 1996; 77 Bard, Falk (BIB2) 1982; 9 Sakawa, Yano (BIB15) 1988; 28 Bard (BIB1) 1983; 38 Shih, Lai, Lee (BIB18) 1996; 23 Kornbluth, Steuer (BIB8) 1981; 27 Sakawa, Yano (BIB14) 1985; 16 Bialas, Karwan (BIB4) 1984; 30 Sakawa, Nishizaki, Uemura (BIB12) 1998; 36 White, Anandalingam (BIB20) 1993; 3 Sakawa (10.1016/S0165-0114(99)00027-5_BIB11) 1993 Steuer (10.1016/S0165-0114(99)00027-5_BIB19) 1986 Sakawa (10.1016/S0165-0114(99)00027-5_BIB17) 1983; 5 White (10.1016/S0165-0114(99)00027-5_BIB20) 1993; 3 Bellman (10.1016/S0165-0114(99)00027-5_BIB3) 1970; 17 Sakawa (10.1016/S0165-0114(99)00027-5_BIB14) 1985; 16 Sakawa (10.1016/S0165-0114(99)00027-5_BIB12) 1998; 36 Sakawa (10.1016/S0165-0114(99)00027-5_BIB16) 1990; 35 Shih (10.1016/S0165-0114(99)00027-5_BIB18) 1996; 23 Bialas (10.1016/S0165-0114(99)00027-5_BIB4) 1984; 30 Lai (10.1016/S0165-0114(99)00027-5_BIB9) 1996; 77 Zimmermann (10.1016/S0165-0114(99)00027-5_BIB21) 1978; 1 Sakawa (10.1016/S0165-0114(99)00027-5_BIB13) 2000; 109 Luhandjula (10.1016/S0165-0114(99)00027-5_BIB10) 1984; 13 Sakawa (10.1016/S0165-0114(99)00027-5_BIB15) 1988; 28 Bitran (10.1016/S0165-0114(99)00027-5_BIB5) 1973; 21 Charnes (10.1016/S0165-0114(99)00027-5_BIB6) 1962; 9 Kornbluth (10.1016/S0165-0114(99)00027-5_BIB7) 1981; 8 Bard (10.1016/S0165-0114(99)00027-5_BIB1) 1983; 38 Bard (10.1016/S0165-0114(99)00027-5_BIB2) 1982; 9 Kornbluth (10.1016/S0165-0114(99)00027-5_BIB8) 1981; 27 |
| References_xml | – volume: 5 start-page: 105 year: 1983 end-page: 113 ident: BIB17 article-title: Interactive fuzzy decision-making for multiobjective linear fractional programming problems publication-title: Large Scale Systems – volume: 8 start-page: 58 year: 1981 end-page: 65 ident: BIB7 article-title: Goal programming with linear fractional criteria publication-title: European J. Oper. Res. – volume: 77 start-page: 321 year: 1996 end-page: 335 ident: BIB9 article-title: Hierarchical optimization: a satisfactory solution publication-title: Fuzzy Sets and Systems – volume: 21 start-page: 22 year: 1973 end-page: 29 ident: BIB5 article-title: Linear programming with a fractional objective function publication-title: Oper. Res. – volume: 109 start-page: 3 year: 2000 end-page: 19 ident: BIB13 article-title: Interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems – year: 1986 ident: BIB19 article-title: Multiple Criteria Optimization – volume: 17 start-page: 141 year: 1970 end-page: 164 ident: BIB3 article-title: Decision making in a fuzzy environment publication-title: Management Sci. – volume: 30 start-page: 1004 year: 1984 end-page: 1020 ident: BIB4 article-title: Two-level linear programming publication-title: Management Sci. – volume: 3 start-page: 397 year: 1993 end-page: 419 ident: BIB20 article-title: A penalty function approach for solving bi-level linear programs publication-title: J. Global Optim. – volume: 16 start-page: 377 year: 1985 end-page: 394 ident: BIB14 article-title: Interactive decision making for multiobjective linear fractional programming problems with fuzzy parameters publication-title: Cybernet. Systems: Internat. J. – volume: 38 start-page: 556 year: 1983 end-page: 560 ident: BIB1 article-title: An efficient point algorithm for a linear two-stage optimization problem publication-title: Oper. Res. – volume: 1 start-page: 45 year: 1978 end-page: 55 ident: BIB21 article-title: Fuzzy programming and linear programming with several objective functions publication-title: Fuzzy Sets and Systems – volume: 9 start-page: 181 year: 1962 end-page: 186 ident: BIB6 article-title: Programming with linear fractional functions publication-title: Naval Res. Logist. Quarterly – year: 1993 ident: BIB11 article-title: Fuzzy Sets and Interactive Multiobjective Optimization – volume: 35 start-page: 125 year: 1990 end-page: 142 ident: BIB16 article-title: An interactive fuzzy satisficing method for generalized multiobjective linear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems – volume: 27 start-page: 1024 year: 1981 end-page: 1039 ident: BIB8 article-title: Multiple objective linear fractional programming publication-title: Management Sci. – volume: 36 start-page: 71 year: 1998 end-page: 86 ident: BIB12 article-title: Interactive fuzzy programming for multi-level linear programming problems publication-title: Comp. Math. Appl. – volume: 9 start-page: 77 year: 1982 end-page: 100 ident: BIB2 article-title: An explicit solution to the multi-level programming problem publication-title: Comput. Oper. Res. – volume: 13 start-page: 11 year: 1984 end-page: 23 ident: BIB10 article-title: Fuzzy approaches for multiple objective linear fractional optimization publication-title: Fuzzy Sets and Systems – volume: 28 start-page: 129 year: 1988 end-page: 144 ident: BIB15 article-title: An interactive fuzzy satisficing method for multiobjective linear fractional programming problems publication-title: Fuzzy Sets and Systems – volume: 23 start-page: 73 year: 1996 end-page: 91 ident: BIB18 article-title: Fuzzy approach for multi-level programming problems publication-title: Comput. Oper. Res. – volume: 3 start-page: 397 year: 1993 ident: 10.1016/S0165-0114(99)00027-5_BIB20 article-title: A penalty function approach for solving bi-level linear programs publication-title: J. Global Optim. doi: 10.1007/BF01096412 – volume: 17 start-page: 141 year: 1970 ident: 10.1016/S0165-0114(99)00027-5_BIB3 article-title: Decision making in a fuzzy environment publication-title: Management Sci. doi: 10.1287/mnsc.17.4.B141 – volume: 9 start-page: 181 year: 1962 ident: 10.1016/S0165-0114(99)00027-5_BIB6 article-title: Programming with linear fractional functions publication-title: Naval Res. Logist. Quarterly doi: 10.1002/nav.3800090303 – volume: 21 start-page: 22 year: 1973 ident: 10.1016/S0165-0114(99)00027-5_BIB5 article-title: Linear programming with a fractional objective function publication-title: Oper. Res. doi: 10.1287/opre.21.1.22 – volume: 23 start-page: 73 year: 1996 ident: 10.1016/S0165-0114(99)00027-5_BIB18 article-title: Fuzzy approach for multi-level programming problems publication-title: Comput. Oper. Res. doi: 10.1016/0305-0548(95)00007-9 – volume: 8 start-page: 58 year: 1981 ident: 10.1016/S0165-0114(99)00027-5_BIB7 article-title: Goal programming with linear fractional criteria publication-title: European J. Oper. Res. doi: 10.1016/0377-2217(81)90029-1 – volume: 13 start-page: 11 year: 1984 ident: 10.1016/S0165-0114(99)00027-5_BIB10 article-title: Fuzzy approaches for multiple objective linear fractional optimization publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(84)90023-X – volume: 9 start-page: 77 year: 1982 ident: 10.1016/S0165-0114(99)00027-5_BIB2 article-title: An explicit solution to the multi-level programming problem publication-title: Comput. Oper. Res. doi: 10.1016/0305-0548(82)90007-7 – volume: 28 start-page: 129 year: 1988 ident: 10.1016/S0165-0114(99)00027-5_BIB15 article-title: An interactive fuzzy satisficing method for multiobjective linear fractional programming problems publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(88)90195-9 – volume: 1 start-page: 45 year: 1978 ident: 10.1016/S0165-0114(99)00027-5_BIB21 article-title: Fuzzy programming and linear programming with several objective functions publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(78)90031-3 – volume: 77 start-page: 321 year: 1996 ident: 10.1016/S0165-0114(99)00027-5_BIB9 article-title: Hierarchical optimization: a satisfactory solution publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(95)00086-0 – volume: 38 start-page: 556 year: 1983 ident: 10.1016/S0165-0114(99)00027-5_BIB1 article-title: An efficient point algorithm for a linear two-stage optimization problem publication-title: Oper. Res. – volume: 109 start-page: 3 year: 2000 ident: 10.1016/S0165-0114(99)00027-5_BIB13 article-title: Interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems doi: 10.1016/S0165-0114(98)00130-4 – volume: 36 start-page: 71 year: 1998 ident: 10.1016/S0165-0114(99)00027-5_BIB12 article-title: Interactive fuzzy programming for multi-level linear programming problems publication-title: Comp. Math. Appl. doi: 10.1016/S0898-1221(98)00118-7 – volume: 5 start-page: 105 year: 1983 ident: 10.1016/S0165-0114(99)00027-5_BIB17 article-title: Interactive fuzzy decision-making for multiobjective linear fractional programming problems publication-title: Large Scale Systems – volume: 30 start-page: 1004 year: 1984 ident: 10.1016/S0165-0114(99)00027-5_BIB4 article-title: Two-level linear programming publication-title: Management Sci. doi: 10.1287/mnsc.30.8.1004 – volume: 27 start-page: 1024 year: 1981 ident: 10.1016/S0165-0114(99)00027-5_BIB8 article-title: Multiple objective linear fractional programming publication-title: Management Sci. doi: 10.1287/mnsc.27.9.1024 – volume: 35 start-page: 125 year: 1990 ident: 10.1016/S0165-0114(99)00027-5_BIB16 article-title: An interactive fuzzy satisficing method for generalized multiobjective linear programming problems with fuzzy parameters publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(90)90188-C – year: 1993 ident: 10.1016/S0165-0114(99)00027-5_BIB11 – volume: 16 start-page: 377 year: 1985 ident: 10.1016/S0165-0114(99)00027-5_BIB14 article-title: Interactive decision making for multiobjective linear fractional programming problems with fuzzy parameters publication-title: Cybernet. Systems: Internat. J. doi: 10.1080/01969728508927781 – year: 1986 ident: 10.1016/S0165-0114(99)00027-5_BIB19 |
| SSID | ssj0001160 |
| Score | 1.8674132 |
| Snippet | In this paper, we present interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters. Using the level sets of... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 93 |
| SubjectTerms | Fuzzy goals Fuzzy parameters Fuzzy programming Interactive methods Two-level linear fractional programming problems |
| Title | Interactive fuzzy programming for two-level linear fractional programming problems with fuzzy parameters |
| URI | https://dx.doi.org/10.1016/S0165-0114(99)00027-5 |
| Volume | 115 |
| WOSCitedRecordID | wos000088643600008&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: 1872-6801 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0001160 issn: 0165-0114 databaseCode: AIEXJ dateStart: 19950113 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3db9MwELdKxwM8ID7F-JIfmASqAk1rO_bjhIYYEhMSm1SeIttx1IounZJ0G_07-IPxd1JAgz3wElVJfIlyv_rO5_vdAfAyLQhBMlOJRHiSoKIsEkpKUxtPIUKkKLhAttlEdnREZzP2eTD4Ebgw58usqujlJTv7r6rW57SyDXX2GuqOQvUJ_VsrXR-12vXxnxRvY3xcunre683me8jBOg1Jk-3FKlmaZKGR8TF5PSprR28wrKzevb7ZjCfAeVncZHO1Pm8-Nvi01xrVuorPTa8Muone8G_8gjtmUKMX-c180dsOmS823PXOPpTzRb0Kl07U6do2QRp9NSNWW_GJccx0iyFLYtIDHVU0zrmOw7kFLjeDun6J3hantv7B79O8izh8iaL3zLJxb8LsRmqCO9sW9vN_MXkxEbGX40ZwbkTljOVWTI5vgJ1Jhhkdgp39w4PZx2jh09Syz-PjO2bY2-6dXjH22r_Pn32enh9zfBfc8QsQuO-Acw8MVHUf3P4Uq_c2D8C8ByFo1Q57sIAaQjBCCDoIwQ5CW_cGCEEDoSArQughOHl_cPzuQ-I7ciRS24I2UbY7glRYahvJuMJiOhUsw4JxVBaiSKXZN59IipCinCNCOR0zxbHKaCHLcvoIDKtVpR4DqB1lyYWQhAiOBCFc4lKUaSnGDClS0F2AwjfLpS9Xb7qmLPMrdbYL3sRhZ65ey98G0KCQ3DudzpnMNdiuHvrkus96Cm51_5BnYNjWa_Uc3JTn7aKpX3iU_QRVO6SE |
| 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=Interactive+fuzzy+programming+for+two-level+linear+fractional+programming+problems+with+fuzzy+parameters&rft.jtitle=Fuzzy+sets+and+systems&rft.au=Sakawa%2C+Masatoshi&rft.au=Nishizaki%2C+Ichiro&rft.au=Uemura%2C+Yoshio&rft.date=2000-10-01&rft.issn=0165-0114&rft.volume=115&rft.issue=1&rft.spage=93&rft.epage=103&rft_id=info:doi/10.1016%2FS0165-0114%2899%2900027-5&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_S0165_0114_99_00027_5 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0165-0114&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0165-0114&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0165-0114&client=summon |