On generating fuzzy Pareto solutions in fully fuzzy multiobjective linear programming via a compromise method

In the present paper, it is unified and extended recent contributions on fully fuzzy multiobjective linear programming, and it is proposed a new method for obtaining fuzzy Pareto solutions of a fully fuzzy multiobjective linear programming problem. For its formulation, triangular fuzzy numbers and v...

Full description

Saved in:
Bibliographic Details
Published in:R.A.I.R.O. Recherche opérationnelle Vol. 56; no. 6; pp. 4035 - 4045
Main Author: Arana-Jiménez, Manuel
Format: Journal Article
Language:English
Published: 01.11.2022
ISSN:0399-0559, 2804-7303
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract In the present paper, it is unified and extended recent contributions on fully fuzzy multiobjective linear programming, and it is proposed a new method for obtaining fuzzy Pareto solutions of a fully fuzzy multiobjective linear programming problem. For its formulation, triangular fuzzy numbers and variables are combined with fuzzy partial orders and fuzzy arithmetic, and no ranking functions are required. By means of solving related crisp multiobjective linear problems, it is provided algorithms to generate fuzzy Pareto solutions; in particular, to generate compromise fuzzy Pareto solutions, what is a novelty in this field.
AbstractList In the present paper, it is unified and extended recent contributions on fully fuzzy multiobjective linear programming, and it is proposed a new method for obtaining fuzzy Pareto solutions of a fully fuzzy multiobjective linear programming problem. For its formulation, triangular fuzzy numbers and variables are combined with fuzzy partial orders and fuzzy arithmetic, and no ranking functions are required. By means of solving related crisp multiobjective linear problems, it is provided algorithms to generate fuzzy Pareto solutions; in particular, to generate compromise fuzzy Pareto solutions, what is a novelty in this field.
Author Arana-Jiménez, Manuel
Author_xml – sequence: 1
  givenname: Manuel
  orcidid: 0000-0002-0290-6477
  surname: Arana-Jiménez
  fullname: Arana-Jiménez, Manuel
BookMark eNotkM1KAzEYRYMoWGs3PkHWwtj8NJlkKcU_KNSFrocv029qZJKUZFpon94pdnXhnstZ3DtyHVNEQh44e-JM8XlOc8GE4FZfkYkwbFHVkslrMmHS2oopZW_JrBTvxrHR2jI1IWEd6RYjZhh83NJufzod6SdkHBItqd8PPsVCfRxJ3x8vPOz7sXe_2A7-gLT3ESHTXU7bDCGcPQcPFGibwlgGX5AGHH7S5p7cdNAXnF1ySr5fX76W79Vq_faxfF5VLbdsqBAUA2OZ08JpXistwBnHnRK6tqxFazuJNRhhQQut2g2aji02VppOgpEgp-Tx39vmVErGrtllHyAfG86a81dNTs3lK_kHoUdgyQ
Cites_doi 10.1007/s40815-015-0123-3
10.1007/s10700-009-9061-6
10.1007/s00500-012-0866-9
10.1007/s10898-019-00841-7
10.1287/mnsc.17.4.B141
10.1016/j.apm.2013.03.014
10.1016/j.ejor.2014.04.029
10.1007/978-3-662-44354-5
10.1007/s00158-003-0368-6
10.1016/j.fss.2012.04.003
10.1007/s10957-012-0215-2
10.1016/0165-0114(89)90084-5
10.1016/j.apm.2013.02.039
10.1051/ro/2016058
10.1504/IJOR.2016.076299
10.1007/s10957-017-1088-1
10.1137/1.9781611970906
10.1016/j.apm.2010.07.037
10.1007/s10957-013-0505-3
10.1007/s40435-017-0355-1
10.1023/A:1008314306344
10.1504/EJIE.2010.031077
10.1016/0165-0114(86)90026-6
10.1016/j.fss.2018.04.009
10.1287/mnsc.19.8.936
10.1016/j.ins.2018.05.043
10.1080/00207727808941724
10.1016/j.ejor.2019.11.036
10.2174/97816080511061100101
10.1016/j.cie.2018.12.029
10.1016/S0165-0114(98)00066-9
10.1016/j.fss.2006.02.002
10.1016/j.ins.2015.03.045
10.1166/jctn.2016.5246
10.1016/j.apm.2008.10.020
10.1002/mma.4882
10.1007/978-3-030-21803-4_51
10.1007/s10479-006-7390-1
10.1016/j.fss.2008.12.005
ContentType Journal Article
DBID AAYXX
CITATION
DOI 10.1051/ro/2022196
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList CrossRef
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 2804-7303
EndPage 4045
ExternalDocumentID 10_1051_ro_2022196
GroupedDBID --K
-E.
.FH
0E1
123
1B1
4.4
5VS
74X
74Y
7~V
8FE
8FG
AADXX
AAFWJ
AAOGA
AAOTM
AAYXX
ABGDZ
ABKKG
ABNSH
ABUBZ
ABZDU
ACACO
ACGFS
ACIMK
ACIWK
ACQPF
ACRPL
ACZPN
ADNMO
AEMTW
AFAYI
AFHSK
AFUTZ
AGQPQ
AJPFC
ALMA_UNASSIGNED_HOLDINGS
AMVHM
ARABE
ASPBG
AVWKF
AZPVJ
BPHCQ
C0O
CITATION
CS3
DC4
EBS
EJD
FAM
HG-
HST
HZ~
I-F
I.6
IHE
IL9
I~P
J36
J38
J3A
K60
K6V
K6~
L6V
L98
LO0
M-V
M41
NIF
O9-
OAV
P62
PQQKQ
PROAC
RCA
ROL
RPZ
RR0
S6-
WQ3
WXU
ID FETCH-LOGICAL-c190t-ea50a890b62b617562ab8b1b526790ce99f3e7a829a6265cde8f04d938f3a83a3
ISICitedReferencesCount 0
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000892366700001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0399-0559
IngestDate Sat Nov 29 04:47:31 EST 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
License https://creativecommons.org/licenses/by/4.0
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c190t-ea50a890b62b617562ab8b1b526790ce99f3e7a829a6265cde8f04d938f3a83a3
ORCID 0000-0002-0290-6477
PageCount 11
ParticipantIDs crossref_primary_10_1051_ro_2022196
PublicationCentury 2000
PublicationDate 2022-11-01
PublicationDateYYYYMMDD 2022-11-01
PublicationDate_xml – month: 11
  year: 2022
  text: 2022-11-01
  day: 01
PublicationDecade 2020
PublicationTitle R.A.I.R.O. Recherche opérationnelle
PublicationYear 2022
References Bhardwaj (R14) 2014; 163
Ebrahimnejad (R20) 2010; 4
Arana-Jiménez (R5) 2020; 991
Guerra (R25) 2012; 16
Dubois (R18) 1978; 9
Arana-Jiménez (R8) 2020; 77
Khan (R30) 2017; 173
Arana-Jiménez (R10) 2020; 283
R40
Ali (R2) 2016; 12
Arana-Jiménez (R6) 2019; 128
Jimenez (R27) 2009; 160
Najafi (R41) 2013; 37
Yu (R46) 1973; 19
Clemente-Císcar (R17) 2014; 239
Arana-Jiménez (R9) 2015; 312
Bellman (R12) 1970; 17
R26
Báez-Sánchez (R11) 2012; 209
R28
Tind (R44) 1999; 14
Ezzati (R21) 2015; 39
Liu (R33) 2016; 13
Wu (R45) 2009; 8
R1
Kumar (R31) 2011; 35
Maleki (R35) 2002; 4
Mehlawat (R38) 2018; 460
R3
Maleki (R36) 2000; 109
Lotfi (R34) 2009; 3
Campos (R15) 1989; 32
Goestschel (R24) 1986; 18
Ghaznavi (R23) 2016; 18
R32
Stefanini (R43) 2019; 262
Marler (R37) 2004; 26
Stefanini (R42) 2006; 157
Khan (R29) 2013; 159
Bharati (R13) 2018; 6
R39
Chakraborty (R16) 2016; 26
R19
Arana-Jiménez (R4) 2018; 41
Ganesan (R22) 2006; 143
Arana-Jiménez (R7) 2017; 51
References_xml – volume: 18
  start-page: 463
  year: 2016
  ident: R23
  publication-title: Int. J. Fuzzy Syst.
  doi: 10.1007/s40815-015-0123-3
– volume: 8
  start-page: 295
  year: 2009
  ident: R45
  publication-title: Fuzzy Optim. Decis. Making
  doi: 10.1007/s10700-009-9061-6
– volume: 16
  start-page: 1931
  year: 2012
  ident: R25
  publication-title: Soft. Comput.
  doi: 10.1007/s00500-012-0866-9
– volume: 77
  start-page: 27
  year: 2020
  ident: R8
  publication-title: J. Global Optim.
  doi: 10.1007/s10898-019-00841-7
– ident: R28
– volume: 17
  start-page: 141
  year: 1970
  ident: R12
  publication-title: Manage. Sci.
  doi: 10.1287/mnsc.17.4.B141
– ident: R26
– volume: 39
  start-page: 3183
  year: 2015
  ident: R21
  publication-title: Appl. Math. Modell.
  doi: 10.1016/j.apm.2013.03.014
– volume: 239
  start-page: 276
  year: 2014
  ident: R17
  publication-title: Eur. J. Oper. Res.
  doi: 10.1016/j.ejor.2014.04.029
– ident: R32
  doi: 10.1007/978-3-662-44354-5
– volume: 26
  start-page: 269
  year: 2004
  ident: R37
  publication-title: Struct. Multi. Optim.
  doi: 10.1007/s00158-003-0368-6
– volume: 209
  start-page: 54
  year: 2012
  ident: R11
  publication-title: Fuzzy Sets Syst.
  doi: 10.1016/j.fss.2012.04.003
– volume: 159
  start-page: 536
  year: 2013
  ident: R29
  publication-title: J. Optim. Theory Appl.
  doi: 10.1007/s10957-012-0215-2
– volume: 32
  start-page: 1
  year: 1989
  ident: R15
  publication-title: Fuzzy Set. Syst.
  doi: 10.1016/0165-0114(89)90084-5
– volume: 37
  start-page: 7865
  year: 2013
  ident: R41
  publication-title: Appl. Math. Modell.
  doi: 10.1016/j.apm.2013.02.039
– volume: 51
  start-page: 709
  year: 2017
  ident: R7
  publication-title: RAIRO: Oper. Res.
  doi: 10.1051/ro/2016058
– volume: 26
  start-page: 153
  year: 2016
  ident: R16
  publication-title: Int. J. Oper. Res.
  doi: 10.1504/IJOR.2016.076299
– volume: 173
  start-page: 353
  year: 2017
  ident: R30
  publication-title: J. Optimiz. Theory Appl.
  doi: 10.1007/s10957-017-1088-1
– ident: R40
  doi: 10.1137/1.9781611970906
– ident: R1
– volume: 12
  start-page: 35
  year: 2016
  ident: R2
  publication-title: IOSR J. Math.
– volume: 35
  start-page: 817
  year: 2011
  ident: R31
  publication-title: Appl. Math. Modell.
  doi: 10.1016/j.apm.2010.07.037
– volume: 163
  start-page: 685
  year: 2014
  ident: R14
  publication-title: J. Optim. Theory Appl.
  doi: 10.1007/s10957-013-0505-3
– ident: R39
– volume: 6
  start-page: 1384
  year: 2018
  ident: R13
  publication-title: Int. J. Dyn. Control
  doi: 10.1007/s40435-017-0355-1
– volume: 14
  start-page: 251
  year: 1999
  ident: R44
  publication-title: J. Global Optim.
  doi: 10.1023/A:1008314306344
– volume: 4
  start-page: 189
  year: 2010
  ident: R20
  publication-title: Eur. J. Ind. Eng.
  doi: 10.1504/EJIE.2010.031077
– volume: 18
  start-page: 31
  year: 1986
  ident: R24
  publication-title: Fuzzy Sets Syst.
  doi: 10.1016/0165-0114(86)90026-6
– volume: 262
  start-page: 1
  year: 2019
  ident: R43
  publication-title: Fuzzy Sets Syst.
  doi: 10.1016/j.fss.2018.04.009
– volume: 19
  start-page: 936
  year: 1973
  ident: R46
  publication-title: Manage. Sci.
  doi: 10.1287/mnsc.19.8.936
– volume: 460
  start-page: 128
  year: 2018
  ident: R38
  publication-title: Inf. Sci.
  doi: 10.1016/j.ins.2018.05.043
– volume: 9
  start-page: 613
  year: 1978
  ident: R18
  publication-title: Int. J. Syst. Sci.
  doi: 10.1080/00207727808941724
– volume: 283
  start-page: 692
  year: 2020
  ident: R10
  publication-title: Eur. J. Oper. Res.
  doi: 10.1016/j.ejor.2019.11.036
– ident: R3
  doi: 10.2174/97816080511061100101
– volume: 128
  start-page: 170
  year: 2019
  ident: R6
  publication-title: Comput. Ind. Eng.
  doi: 10.1016/j.cie.2018.12.029
– volume: 109
  start-page: 21
  year: 2000
  ident: R36
  publication-title: Fuzzy Set. Syst.
  doi: 10.1016/S0165-0114(98)00066-9
– volume: 157
  start-page: 2423
  year: 2006
  ident: R42
  publication-title: Fuzzy Sets Syst.
  doi: 10.1016/j.fss.2006.02.002
– volume: 312
  start-page: 13
  year: 2015
  ident: R9
  publication-title: Inf. Sci.
  doi: 10.1016/j.ins.2015.03.045
– volume: 13
  start-page: 4036
  year: 2016
  ident: R33
  publication-title: J. Comput. Theor. Nanosci.
  doi: 10.1166/jctn.2016.5246
– volume: 3
  start-page: 3151
  year: 2009
  ident: R34
  publication-title: Appl. Math. Modell.
  doi: 10.1016/j.apm.2008.10.020
– volume: 41
  start-page: 7421
  year: 2018
  ident: R4
  publication-title: Math Meth Appl Sci.
  doi: 10.1002/mma.4882
– volume: 991
  start-page: 509
  year: 2020
  ident: R5
  publication-title: Adv. Intell. Syst. Comput.
  doi: 10.1007/978-3-030-21803-4_51
– volume: 143
  start-page: 305
  year: 2006
  ident: R22
  publication-title: Ann. Oper. Res.
  doi: 10.1007/s10479-006-7390-1
– volume: 160
  start-page: 2714
  year: 2009
  ident: R27
  publication-title: Fuzzy Sets Syst.
  doi: 10.1016/j.fss.2008.12.005
– ident: R19
– volume: 4
  start-page: 283
  year: 2002
  ident: R35
  publication-title: Far East J. Math. Sci.
SSID ssib051866905
ssib051327486
ssj0003353
ssib050921426
Score 2.2496028
Snippet In the present paper, it is unified and extended recent contributions on fully fuzzy multiobjective linear programming, and it is proposed a new method for...
SourceID crossref
SourceType Index Database
StartPage 4035
Title On generating fuzzy Pareto solutions in fully fuzzy multiobjective linear programming via a compromise method
Volume 56
WOSCitedRecordID wos000892366700001&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: PRVHPJ
  databaseName: ROAD: Directory of Open Access Scholarly Resources
  customDbUrl:
  eissn: 2804-7303
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssib051866905
  issn: 0399-0559
  databaseCode: M~E
  dateStart: 20010101
  isFulltext: true
  titleUrlDefault: https://road.issn.org
  providerName: ISSN International Centre
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwELaWwgEOVXkJKEWW4FYldeJ4Yx8r1AoQ7aKqoN5WduJIi1hnFXZXbQ_w1xk_kjWUQzlwSJR1XqvMp8k3k5nPCL3hQIlroP2JUk2Z2F7rRFaislUWtClk1tRuSpYvH8vTU35xIT6NRj_7Xpj1t9IYfnkpFv_V1DAGxrats_9g7uGiMADbYHRYg9lhfSvDT4ydFtlqJbsiydX19RXwxE4DyRxubLMcNvF-Ffa7ssJWffXeb99STyuB7Wu35vY6a9u85QrQuxagocPU0zG3PUsP0_fpWTpJLRkFLMCy3y78p3gPNFtTE2FMGpl8mM39Ecbnsk-kWYUy_pCMgDg2G5IRoQnLihqwIPKt3VjOSZGAI6Gx0_Vq4gFcsQctiJcvCW_jgni1yRueHpwJWML2Ah3bP5KJvwhq__GiG8oP3Yd3lk27dhrOvYPu5iUTtibw5MdR75CATFlFuoGvMQjdy4JHvwHqgmziLUq97Gn_FHo9XJYddO1BuFfEgCIqc76DtkMMgg89dh6ikTaP0INImfIxmk8M3qAIO5RgjyI8oAjPDHYoCvt_RxH2KMIRijCgCEu8QRH2KHqCPh8fnb99l4SZOZIKCOQy0ZIRyQVR41wBBQYOLRVXmWL5uBSk0kI0VJeS50JCwMyqWvOGFLWgvKGSU0mfoi3TGv0M4ZKoSo-JloSqYlyUUuUazmY1UFOlav4cve6f1nThBVimN-334lZH7aL7G9C-RFvLbqX30L1qvZx971450_8CyiN40Q
linkProvider ISSN International Centre
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=On+generating+fuzzy+Pareto+solutions+in+fully+fuzzy+multiobjective+linear+programming+via+a+compromise+method&rft.jtitle=R.A.I.R.O.+Recherche+op%C3%A9rationnelle&rft.au=Arana-Jim%C3%A9nez%2C+Manuel&rft.date=2022-11-01&rft.issn=0399-0559&rft.eissn=2804-7303&rft.volume=56&rft.issue=6&rft.spage=4035&rft.epage=4045&rft_id=info:doi/10.1051%2Fro%2F2022196&rft.externalDBID=n%2Fa&rft.externalDocID=10_1051_ro_2022196
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0399-0559&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0399-0559&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0399-0559&client=summon