Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming
In this paper we wish to find solutions to the fully fuzzified linear program where all the parameters and variables are fuzzy numbers. We first change the problem of maximizing a fuzzy number, the value of the objective function, into a multi-objective fuzzy linear programming problem. We prove tha...
Uložené v:
| Vydané v: | Fuzzy sets and systems Ročník 109; číslo 1; s. 35 - 53 |
|---|---|
| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Elsevier B.V
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 wish to find solutions to the fully fuzzified linear program where all the parameters and variables are fuzzy numbers. We first change the problem of maximizing a fuzzy number, the value of the objective function, into a multi-objective fuzzy linear programming problem. We prove that fuzzy flexible programming can be used to explore the whole undominated set to the multi-objective fuzzy linear program. An evolutionary algorithm is designed to solve the fuzzy flexible program and we apply this program to two applications to generate good solutions. |
|---|---|
| AbstractList | In this paper we wish to find solutions to the fully fuzzified linear program where all the parameters and variables are fuzzy numbers. We first change the problem of maximizing a fuzzy number, the value of the objective function, into a multi-objective fuzzy linear programming problem. We prove that fuzzy flexible programming can be used to explore the whole undominated set to the multi-objective fuzzy linear program. An evolutionary algorithm is designed to solve the fuzzy flexible program and we apply this program to two applications to generate good solutions. |
| Author | Buckley, James J. Feuring, Thomas |
| Author_xml | – sequence: 1 givenname: James J. surname: Buckley fullname: Buckley, James J. email: buckley@math.uab.edu organization: Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, USA – sequence: 2 givenname: Thomas surname: Feuring fullname: Feuring, Thomas organization: Institut für Informatik, Westfälische Wilhelms-Universität Münster, Einsteinstraße 62, 48149 Münster, Germany |
| BookMark | eNqFUMFKAzEUDFLBtvoJwh71sPqSdJOsHkRKq2LBg3oOaTZbI7ubkqSF9uu72xYPXnp5jzfMPGZmgHqNawxC1xjuMGB2_9mOLAWMRze5uAUAQlI4Q30sOEmZANxD_T_KBRqE8NuSMGbQR--TtatW0bpG-U2iqoXzNv7USTiiSXRJudpuN8nSu3ll6vCQTPd3ZRujfAcvvKpr2ywu0XmpqmCujnuIvqeTr_FrOvt4eRs_z1JNOY0pzzQ3DApguuSMqmxOeEkzAAYas5yXTClOWtusgJECLYQShAoicirm3Ag6RI-Hv9q7ELwppbZRdW6jV7aSGGTXi9z3IrvQMhdy34uEVp39Uy-9rdv0J3VPB51po62t8TJoaxptCuuNjrJw9sSHHY8NfNA |
| CitedBy_id | crossref_primary_10_3233_IFS_162176 crossref_primary_10_1023_A_1013771608623 crossref_primary_10_1080_00207543_2014_885145 crossref_primary_10_1007_s40815_015_0016_5 crossref_primary_10_1016_j_amc_2005_11_027 crossref_primary_10_1016_j_fss_2007_05_005 crossref_primary_10_1016_j_knosys_2016_01_044 crossref_primary_10_3390_math9111272 crossref_primary_10_1007_s00500_021_06147_9 crossref_primary_10_1016_j_camwa_2008_02_042 crossref_primary_10_1080_01605682_2018_1441636 crossref_primary_10_1016_j_camwa_2008_07_039 crossref_primary_10_1007_s12190_008_0052_5 crossref_primary_10_4018_joris_2011010105 crossref_primary_10_1016_j_apm_2010_07_037 crossref_primary_10_1080_09720510_2021_1925431 crossref_primary_10_1016_j_eswa_2023_122816 crossref_primary_10_1007_s12597_023_00642_3 crossref_primary_10_1080_10473289_2011_628901 crossref_primary_10_1016_j_apm_2007_09_030 crossref_primary_10_1109_ACCESS_2018_2863566 crossref_primary_10_3390_math11244871 crossref_primary_10_1007_s10700_009_9064_3 crossref_primary_10_1007_s13369_020_04800_3 crossref_primary_10_1016_j_apm_2013_01_040 crossref_primary_10_3390_math12193051 crossref_primary_10_1016_j_apm_2013_03_014 crossref_primary_10_1016_j_cam_2008_05_044 crossref_primary_10_1007_s11707_014_0449_4 crossref_primary_10_1016_j_ejor_2011_02_002 crossref_primary_10_1016_j_matpr_2020_12_1062 crossref_primary_10_1016_j_apm_2007_04_009 crossref_primary_10_1155_2014_782376 crossref_primary_10_1016_j_autcon_2018_02_026 crossref_primary_10_3233_JIFS_182552 crossref_primary_10_1007_s00500_019_04519_w crossref_primary_10_1007_s00170_011_3767_7 crossref_primary_10_1007_s00500_020_05228_5 crossref_primary_10_3390_math7070569 crossref_primary_10_1016_j_apm_2008_10_004 crossref_primary_10_1016_j_jocs_2017_12_004 crossref_primary_10_7717_peerj_cs_1646 crossref_primary_10_1007_s12543_013_0151_3 crossref_primary_10_15807_jorsj_61_172 crossref_primary_10_1007_s00500_023_08462_9 crossref_primary_10_1016_j_ins_2011_04_010 crossref_primary_10_1007_s00521_018_3404_6 crossref_primary_10_3233_JIFS_18016 crossref_primary_10_1016_j_ins_2003_05_012 crossref_primary_10_1109_TFUZZ_2008_924200 crossref_primary_10_1155_2014_486576 crossref_primary_10_1016_S0165_0114_00_00114_7 crossref_primary_10_1007_s10489_012_0368_6 crossref_primary_10_4018_ijfsa_2012070104 crossref_primary_10_1080_02522667_2020_1758369 crossref_primary_10_1007_s12597_020_00482_5 crossref_primary_10_1080_0305215X_2019_1698034 crossref_primary_10_1016_j_knosys_2015_09_020 crossref_primary_10_1080_09720510_2021_1872174 crossref_primary_10_1007_s10489_011_0318_8 crossref_primary_10_1007_s40815_018_0542_z crossref_primary_10_1002_prep_202200336 crossref_primary_10_1016_j_amc_2005_08_044 crossref_primary_10_1016_j_apm_2014_02_024 crossref_primary_10_1007_s12351_017_0321_x crossref_primary_10_1080_18128600608685660 crossref_primary_10_1016_j_scitotenv_2024_171926 crossref_primary_10_1002_int_21709 crossref_primary_10_3233_IFS_151633 crossref_primary_10_1080_10286608_2014_913031 crossref_primary_10_1109_ACCESS_2020_2997302 crossref_primary_10_1016_j_ejor_2016_06_021 crossref_primary_10_3390_math8091540 crossref_primary_10_1016_j_asoc_2023_111069 crossref_primary_10_1016_j_fss_2022_06_027 crossref_primary_10_1016_j_eswa_2011_08_047 crossref_primary_10_1007_s41066_022_00341_2 crossref_primary_10_1061__ASCE_WR_1943_5452_0000547 crossref_primary_10_1007_s40815_018_0594_0 crossref_primary_10_1016_j_ejor_2010_09_025 crossref_primary_10_1016_j_ins_2013_04_004 crossref_primary_10_1080_03052150902866569 crossref_primary_10_1155_2019_1527612 crossref_primary_10_1007_s10957_012_0215_2 crossref_primary_10_1016_j_amc_2005_11_121 crossref_primary_10_1371_journal_pone_0189336 crossref_primary_10_3233_IFS_152039 crossref_primary_10_1007_s40010_017_0431_0 crossref_primary_10_3233_JIFS_181541 crossref_primary_10_1007_s10489_016_0779_x crossref_primary_10_1007_s10479_022_04645_z crossref_primary_10_1016_j_engappai_2022_105047 crossref_primary_10_1007_s40747_021_00535_2 crossref_primary_10_1016_j_cie_2006_08_017 crossref_primary_10_1109_TSMCB_2003_818560 crossref_primary_10_1016_j_eswa_2016_08_049 crossref_primary_10_1109_TFUZZ_2018_2876690 crossref_primary_10_3233_JIFS_18692 crossref_primary_10_3233_JIFS_18171 crossref_primary_10_1016_j_eswa_2023_122950 crossref_primary_10_1016_j_ejor_2006_06_053 crossref_primary_10_1016_S0165_0114_98_00154_7 |
| 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(98)00022-0 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1872-6801 |
| EndPage | 53 |
| ExternalDocumentID | 10_1016_S0165_0114_98_00022_0 S0165011498000220 |
| 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-c373t-75c7e60d06cf763a5b27f350060c1697f6aa728016d04a0c88a823828938b7e83 |
| ISICitedReferencesCount | 174 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000083258800003&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 02:00:03 EST 2025 Tue Nov 18 20:56:10 EST 2025 Fri Feb 23 02:27:24 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Fuzzy linear programming Evolutionary algorithms Mathematical programming |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c373t-75c7e60d06cf763a5b27f350060c1697f6aa728016d04a0c88a823828938b7e83 |
| PageCount | 19 |
| ParticipantIDs | crossref_citationtrail_10_1016_S0165_0114_98_00022_0 crossref_primary_10_1016_S0165_0114_98_00022_0 elsevier_sciencedirect_doi_10_1016_S0165_0114_98_00022_0 |
| PublicationCentury | 2000 |
| PublicationDate | 2000 2000-1-00 |
| PublicationDateYYYYMMDD | 2000-01-01 |
| PublicationDate_xml | – year: 2000 text: 2000 |
| PublicationDecade | 2000 |
| PublicationTitle | Fuzzy sets and systems |
| PublicationYear | 2000 |
| Publisher | Elsevier B.V |
| Publisher_xml | – name: Elsevier B.V |
| SSID | ssj0001160 |
| Score | 2.0845678 |
| Snippet | In this paper we wish to find solutions to the fully fuzzified linear program where all the parameters and variables are fuzzy numbers. We first change the... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 35 |
| SubjectTerms | Evolutionary algorithms Fuzzy linear programming Mathematical programming |
| Title | Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming |
| URI | https://dx.doi.org/10.1016/S0165-0114(98)00022-0 |
| Volume | 109 |
| WOSCitedRecordID | wos000083258800003&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/eLvHCXMwtV1Zi9RAEG7GWR_0QTxxvegHBWXosZNO-vBtkVl0xUVwhXkydHq6V2E2s-xkh3V_vX0mwREv8CWEpg-o-tJVKaq-AuCpyVUmqSSoLjKNirrAiC8oQcRoSmrCrEkzvtkEOzzk87n4MBp9TrUwmyVrGn5xIU7_q6rtmFW2K539C3V3m9oB-26Vbp9W7fb5R4qfbeL2Lh9OLo9X9vf_y8kkHeqcTXN-efltEnvJ-Jy4fT_iXE5HfR1ytk6SVUtdPP2ctW4DrfN6wHXu6yFUamTtM28nB9PezfS1kD_kI6VQA-4jX1vVLyEYSV3iXygCnepwgXKWI8pjgCLdsFhsQSncl4GqJFrewBq8daeH8MLH7jTreQv-LBeeuwfh3pB16YV-rpsquJ-Er4CdnJUCj8HO3tvZ_KCz1Vnm68i7vfsar5f9gc8FfxEP-7n3MvBIjm6CG_FXAu4FCNwCI93cBtffdzy86zvg3RAMsAMDTGCA7Qp6MMAEhlfQqxkGKMABFO6CT_uzo9dvUGyfgRRhpEWsVExTvMBUGWtFZFnnzJDSMfCojApmqJSuOVlGF7iQWHEuuXXgrHQJr5nm5B4YN6tG3wdQE76wY8YUhfumDWfSWM9YEK0JM4zsgiKJpVKRW961OFlWgyRCWlZOmpXglZdmhXfBtFt2GshVfreAJ5lX0UMMnl9lwfLrpQ_-felDcC0QMLjA2yMwbs_O9WNwVW3ar-uzJxFS3wEdhIXO |
| 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=Evolutionary+algorithm+solution+to+fuzzy+problems%3A+Fuzzy+linear+programming&rft.jtitle=Fuzzy+sets+and+systems&rft.au=Buckley%2C+James+J.&rft.au=Feuring%2C+Thomas&rft.date=2000&rft.pub=Elsevier+B.V&rft.issn=0165-0114&rft.eissn=1872-6801&rft.volume=109&rft.issue=1&rft.spage=35&rft.epage=53&rft_id=info:doi/10.1016%2FS0165-0114%2898%2900022-0&rft.externalDocID=S0165011498000220 |
| 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 |