A method for solving interval type-2 triangular fuzzy bilevel linear programming problem

In this paper, we consider the bilevel linear programming problem (BLPP) where all the coefficients in the problem are interval type-2 triangular fuzzy numbers (IT2TFNs). First, we convert a BLPP with IT2TFN parameters to an interval BLPP. In the next step, we solve BLPPs and obtain optimal solution...

Full description

Saved in:
Bibliographic Details
Published in:Yugoslav Journal of Operations Research Vol. 33; no. 1; pp. 71 - 90
Main Authors: Davoudi, Niloofar, Hamidi, Farhad, Nehi, Hasan
Format: Journal Article
Language:English
Published: University of Belgrade 2023
Subjects:
bilevel linear programming problem
interval type-2 triangular fuzzy number
type-2 fuzzy sets
ISSN:0354-0243, 1820-743X
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract In this paper, we consider the bilevel linear programming problem (BLPP) where all the coefficients in the problem are interval type-2 triangular fuzzy numbers (IT2TFNs). First, we convert a BLPP with IT2TFN parameters to an interval BLPP. In the next step, we solve BLPPs and obtain optimal solution as an IT2TFN.
AbstractList In this paper, we consider the bilevel linear programming problem (BLPP) where all the coefficients in the problem are interval type-2 triangular fuzzy numbers (IT2TFNs). First, we convert a BLPP with IT2TFN parameters to an interval BLPP. In the next step, we solve BLPPs and obtain optimal solution as an IT2TFN.
Author Hamidi, Farhad
Nehi, Hasan
Davoudi, Niloofar
Author_xml – sequence: 1
  givenname: Niloofar
  surname: Davoudi
  fullname: Davoudi, Niloofar
  organization: Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
– sequence: 2
  givenname: Farhad
  surname: Hamidi
  fullname: Hamidi, Farhad
  organization: Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
– sequence: 3
  givenname: Hasan
  surname: Nehi
  fullname: Nehi, Hasan
  organization: Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
BookMark eNp1kEFLwzAYhoMoOOeunvMHOpN8aZMex1A3GQxkh3kqaZpskbQZaTfYfr2dE0HB0_d-LzzP4b1D101oDEIPlIwZy-Xj--vyjVEiaEqYmF2hAZWMJILD-hoNCKQ8IYzDLRq1rSsJFSAlS-UArSe4Nt02VNiGiNvgD67ZYNd0Jh6Ux91xZxKGu-hUs9l7FbHdn05HXDpvDsZj7xrTl7sYNlHV9Zntc-lNfY9urPKtGX3fIVo9P62ms2SxfJlPJ4tEs4xsE6jKPNNa0IwKxaxWIHORUgugRVZKUnGhQVoOmckJsLT_KgMVcKoZSIAhml-0VVAfxS66WsVjEZQrvooQN4WKndPeFILZ80K5yHPCwRIJklprTZbmppK9c4jGF5eOoW2jsT8-SorzysXvlXuA_wG061TnQtNF5fx_2Cc4CoJL
CitedBy_id crossref_primary_10_1061_JWRMD5_WRENG_6608
crossref_primary_10_3390_math12091355
crossref_primary_10_3390_su151612253
crossref_primary_10_1016_j_jwpe_2025_107687
Cites_doi 10.1109/TSMC.1976.4309421
10.1016/S0020-7373(81)80051-X
10.1016/j.ejor.2007.03.034
10.1016/j.ins.2014.05.019
10.1016/0020-0255(75)90046-8
10.1016/0020-0255(75)90017-1
10.1016/j.apm.2011.02.008
10.1142/S0218488515500257
10.1016/j.ejor.2012.11.038
10.1016/j.cie.2015.03.005
10.1007/s10115-012-0497-6
10.1007/s40819-015-0044-8
10.1016/0165-0114(95)00086-0
10.1007/s00500-013-1109-4
10.1016/j.ins.2015.12.037
10.1109/TFUZZ.2005.864078
10.1007/s10700-013-9158-9
10.1137/0913069
10.1016/j.cam.2011.10.012
10.1007/s12351-018-0383-4
10.1016/j.ijar.2012.02.001
10.1016/j.knosys.2012.11.007
10.1007/s10898-008-9365-z
10.1016/j.eswa.2017.10.020
10.1016/0020-0255(75)90036-5
10.1109/CIS.2013.16
10.1109/TAC.1982.1102880
10.1016/j.knosys.2007.01.003
10.1590/S0101-74382014005000002
10.1016/j.knosys.2016.01.044
10.1016/j.ins.2013.12.012
10.1287/opre.21.1.37
10.1016/j.apm.2010.07.037
10.1007/BF02098174
10.1109/CFIS.2017.8003586
10.1016/S0019-9958(65)90241-X
10.1007/s10700-018-9287-2
10.1016/j.asoc.2012.11.013
10.1287/mnsc.30.8.1004
10.2298/YJOR180117020A
10.1109/TFUZZ.2006.879986
10.1007/978-3-540-71258-9_17
10.1016/j.apm.2014.09.021
10.1137/0911017
10.1007/978-3-642-28942-2_51
10.1155/2016/7069804
10.1016/0305-0548(95)00007-9
10.1016/j.amc.2006.10.045
ContentType Journal Article
DBID AAYXX
CITATION
DOA
DOI 10.2298/YJOR210715027H
DatabaseName CrossRef
Directory of Open Access Journals (DOAJ)
DatabaseTitle CrossRef
DatabaseTitleList CrossRef
Database_xml – sequence: 1
  dbid: DOA
  name: Directory of Open Access Journals (DOAJ)
  url: https://www.doaj.org/
  sourceTypes: Open Website
DeliveryMethod fulltext_linktorsrc
EISSN 1820-743X
EndPage 90
ExternalDocumentID oai_doaj_org_article_72f21079799043f08381fffe659ed83d
10_2298_YJOR210715027H
GroupedDBID AAYXX
ABJBX
CITATION
GROUPED_DOAJ
ID FETCH-LOGICAL-c260h-3db96cc71617a2fca389751f33c76b80d47c38f436e903257c3de3d341c23833
IEDL.DBID DOA
ISSN 0354-0243
IngestDate Fri Oct 03 12:50:40 EDT 2025
Sat Nov 29 03:15:45 EST 2025
Tue Nov 18 22:15:19 EST 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
License http://creativecommons.org/licenses/by-nc-sa/4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c260h-3db96cc71617a2fca389751f33c76b80d47c38f436e903257c3de3d341c23833
OpenAccessLink https://doaj.org/article/72f21079799043f08381fffe659ed83d
PageCount 20
ParticipantIDs doaj_primary_oai_doaj_org_article_72f21079799043f08381fffe659ed83d
crossref_primary_10_2298_YJOR210715027H
crossref_citationtrail_10_2298_YJOR210715027H
PublicationCentury 2000
PublicationDate 2023-00-00
2023-01-01
PublicationDateYYYYMMDD 2023-01-01
PublicationDate_xml – year: 2023
  text: 2023-00-00
PublicationDecade 2020
PublicationTitle Yugoslav Journal of Operations Research
PublicationYear 2023
Publisher University of Belgrade
Publisher_xml – name: University of Belgrade
References ref13
ref57
ref12
ref56
ref15
ref14
ref53
ref52
ref11
ref55
ref10
ref54
ref17
ref16
ref19
ref18
ref51
ref50
ref46
ref45
ref48
ref47
ref42
ref41
ref44
ref43
ref49
ref8
ref7
ref9
ref4
ref3
ref6
ref5
ref40
ref35
ref34
ref37
ref36
ref31
ref30
ref33
ref32
ref2
ref1
ref39
ref38
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref28
ref27
ref29
References_xml – ident: ref50
  doi: 10.1109/TSMC.1976.4309421
– ident: ref29
  doi: 10.1016/S0020-7373(81)80051-X
– ident: ref5
  doi: 10.1016/j.ejor.2007.03.034
– ident: ref22
  doi: 10.1016/j.ins.2014.05.019
– ident: ref27
  doi: 10.1016/0020-0255(75)90046-8
– ident: ref28
  doi: 10.1016/0020-0255(75)90017-1
– ident: ref9
  doi: 10.1016/j.apm.2011.02.008
– ident: ref36
  doi: 10.1142/S0218488515500257
– ident: ref43
  doi: 10.1016/j.ejor.2012.11.038
– ident: ref42
  doi: 10.1016/j.cie.2015.03.005
– ident: ref39
  doi: 10.1007/s10115-012-0497-6
– ident: ref53
– ident: ref34
– ident: ref30
– ident: ref45
  doi: 10.1007/s40819-015-0044-8
– ident: ref2
– ident: ref11
  doi: 10.1016/0165-0114(95)00086-0
– ident: ref38
  doi: 10.1007/s00500-013-1109-4
– ident: ref18
  doi: 10.1016/j.ins.2015.12.037
– ident: ref49
  doi: 10.1109/TFUZZ.2005.864078
– ident: ref41
  doi: 10.1007/s10700-013-9158-9
– ident: ref6
  doi: 10.1137/0913069
– ident: ref23
  doi: 10.1016/j.cam.2011.10.012
– ident: ref21
  doi: 10.1007/s12351-018-0383-4
– ident: ref52
  doi: 10.1016/j.ijar.2012.02.001
– ident: ref44
  doi: 10.1016/j.knosys.2012.11.007
– ident: ref14
  doi: 10.1007/s10898-008-9365-z
– ident: ref20
  doi: 10.1016/j.eswa.2017.10.020
– ident: ref26
  doi: 10.1016/0020-0255(75)90036-5
– ident: ref25
  doi: 10.1109/CIS.2013.16
– ident: ref47
  doi: 10.1109/TAC.1982.1102880
– ident: ref13
  doi: 10.1016/j.knosys.2007.01.003
– ident: ref31
  doi: 10.1590/S0101-74382014005000002
– ident: ref55
  doi: 10.1016/j.knosys.2016.01.044
– ident: ref40
  doi: 10.1016/j.ins.2013.12.012
– ident: ref48
– ident: ref1
  doi: 10.1287/opre.21.1.37
– ident: ref57
  doi: 10.1016/j.apm.2010.07.037
– ident: ref8
  doi: 10.1007/BF02098174
– ident: ref46
  doi: 10.1109/CFIS.2017.8003586
– ident: ref10
  doi: 10.1016/S0019-9958(65)90241-X
– ident: ref35
  doi: 10.1007/s10700-018-9287-2
– ident: ref19
– ident: ref32
– ident: ref15
– ident: ref37
  doi: 10.1016/j.asoc.2012.11.013
– ident: ref4
  doi: 10.1287/mnsc.30.8.1004
– ident: ref17
  doi: 10.2298/YJOR180117020A
– ident: ref51
  doi: 10.1109/TFUZZ.2006.879986
– ident: ref16
  doi: 10.1007/978-3-540-71258-9_17
– ident: ref24
  doi: 10.1016/j.apm.2014.09.021
– ident: ref3
  doi: 10.1137/0911017
– ident: ref33
  doi: 10.1007/978-3-642-28942-2_51
– ident: ref54
  doi: 10.1155/2016/7069804
– ident: ref56
– ident: ref12
  doi: 10.1016/0305-0548(95)00007-9
– ident: ref7
  doi: 10.1016/j.amc.2006.10.045
SSID ssib017388258
ssib048656891
ssib044765231
Score 2.273701
Snippet In this paper, we consider the bilevel linear programming problem (BLPP) where all the coefficients in the problem are interval type-2 triangular fuzzy numbers...
SourceID doaj
crossref
SourceType Open Website
Enrichment Source
Index Database
StartPage 71
SubjectTerms bilevel linear programming problem
interval type-2 triangular fuzzy number
type-2 fuzzy sets
Title A method for solving interval type-2 triangular fuzzy bilevel linear programming problem
URI https://doaj.org/article/72f21079799043f08381fffe659ed83d
Volume 33
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVHPJ
  databaseName: ROAD: Directory of Open Access Scholarly Resources
  customDbUrl:
  eissn: 1820-743X
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssib044765231
  issn: 0354-0243
  databaseCode: M~E
  dateStart: 0
  isFulltext: true
  titleUrlDefault: https://road.issn.org
  providerName: ISSN International Centre
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF6kePAiior1xR4ET0ubfWQ3xyotRbCK9FBPIdkHFmqV2hbswd_uTBJrehAvXnLYTB5MJjvfN7vMR8ilCkEL5yOmsixhMlOKJQBrmXQx9zbzlkd5ITahBwMzGiUPNakv3BNWtgcuHdfSPAAr0bj61JYiAGIwUQjBxyrxzgiHsy-crpEpiKRIC0COP-t9UupY1da7pAEYU8npCSUZtuUrOzpynpjW0-39Iz4UwBLX_Y2MVWvsX2Sg3h7ZraAj7ZSvvE-2_PSAjDq0FIGmgD4pBBIWCOi42MkIxlhhZZyiNscURednNCxWqw-aw2Sw9BOKIBMGq11aL3htJTFzSIa97vCmzyq1BGaBkzwz4fIktlYjYcl4sBlAEa2iIITVcW7aTmorTJAi9klbwJ9q4RsJB1nMQtoW4og0pq9Tf0yoMDY3ccaB6UmpnAT-7LQHPymgOzkXTcK-HZLaqpM4ClpMUmAU6MB004FNcrW2fyt7aPxqeY3-XVth7-tiACIirSIi_SsiTv7jJqdkB4Xly2LLGWnMZwt_Trbtcj5-n10UwQbHu8_uF1Xz0qQ
linkProvider Directory of Open Access Journals
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=A+method+for+solving+interval+type-2+triangular+fuzzy+bilevel+linear+programming+problem&rft.jtitle=Yugoslav+Journal+of+Operations+Research&rft.au=Davoudi%2C+Niloofar&rft.au=Hamidi%2C+Farhad&rft.au=Nehi%2C+Hasan&rft.date=2023&rft.issn=0354-0243&rft.eissn=1820-743X&rft.volume=33&rft.issue=1&rft.spage=71&rft.epage=90&rft_id=info:doi/10.2298%2FYJOR210715027H&rft.externalDBID=n%2Fa&rft.externalDocID=10_2298_YJOR210715027H
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0354-0243&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0354-0243&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0354-0243&client=summon