AN ITERATIVE APPROACH FOR FUZZY MULTI OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM

In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out converting them into equivalent crisp forms. By introducing fuzzy target and the fuzzy tolerance limit for each objective of the given fuzzy mult...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:TWMS journal of applied and engineering mathematics Ročník 13; číslo 4; s. 1383
Hlavní autori: Loganathan, T, Ganesan, K
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Istanbul Turkic World Mathematical Society 01.01.2023
Elman Hasanoglu
Predmet:
Equivalence
Fuzzy algorithms
Fuzzy logic
Fuzzy sets
Fuzzy systems
Iterative methods
Linear programming
Mathematical programming
Mathematical research
Mathematics
Optimization
Pareto optimum
India
ISSN:2146-1147, 2146-1147
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out converting them into equivalent crisp forms. By introducing fuzzy target and the fuzzy tolerance limit for each objective of the given fuzzy multi objective linear fractional programming problem (FMOLFPP), the given FMOLFPP is reduced to an equivalent single objective non-fractional fuzzy linear programming problem (NFLPP). Then the fuzzy optimal solution of the reduced NFLPP is obtained which inturn provides the Pareto optimal solution of the given FMOLFPP. Numerical examples are provided to illustrate the efficiency of the proposed method. Keywords:Fuzzy number, fuzzy ranking, fuzzy arithmetic, fuzzy fractional programming(FFP), fuzzy target, fuzzy tolerance limit, Pareto optimal. AMS Subject Classification: 03E72, 90C32, 90C05, 90C70.
AbstractList In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out converting them into equivalent crisp forms. By introducing fuzzy target and the fuzzy tolerance limit for each objective of the given fuzzy multi objective linear fractional programming problem (FMOLFPP), the given FMOLFPP is reduced to an equivalent single objective non-fractional fuzzy linear programming problem (NFLPP). Then the fuzzy optimal solution of the reduced NFLPP is obtained which inturn provides the Pareto optimal solution of the given FMOLFPP. Numerical examples are provided to illustrate the efficiency of the proposed method.
In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out converting them into equivalent crisp forms. By introducing fuzzy target and the fuzzy tolerance limit for each objective of the given fuzzy multi objective linear fractional programming problem (FMOLFPP), the given FMOLFPP is reduced to an equivalent single objec- tive non-fractional fuzzy linear programming problem (NFLPP). Then the fuzzy optimal solution of the reduced NFLPP is obtained which inturn provides the Pareto optimal solution of the given FMOLFPP. Numerical examples are provided to illustrate the e - ciency of the proposed method. Keywords
In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out converting them into equivalent crisp forms. By introducing fuzzy target and the fuzzy tolerance limit for each objective of the given fuzzy multi objective linear fractional programming problem (FMOLFPP), the given FMOLFPP is reduced to an equivalent single objective non-fractional fuzzy linear programming problem (NFLPP). Then the fuzzy optimal solution of the reduced NFLPP is obtained which inturn provides the Pareto optimal solution of the given FMOLFPP. Numerical examples are provided to illustrate the efficiency of the proposed method. Keywords:Fuzzy number, fuzzy ranking, fuzzy arithmetic, fuzzy fractional programming(FFP), fuzzy target, fuzzy tolerance limit, Pareto optimal. AMS Subject Classification: 03E72, 90C32, 90C05, 90C70.
Audience Academic
Author Ganesan, K
Loganathan, T
Author_xml – sequence: 1
  fullname: Loganathan, T
– sequence: 2
  fullname: Ganesan, K
BookMark eNptUMtugzAQtKpUaprmHyz1TGUbbMzRQSSh4hEhqNRcEBg7IkqgBfL_cR9Sc-juYWd3Z2alfQSzru_UHZgT7DALY8ed3eAHsBzHIzLBGXORPQeFSGCYB5nIw7cAit0uS4W_hes0g-tiv3-HcRHlIUxXr4H_TYnCJBBmmQnTp4mIoJFsMhHHYbL5wqsoiJ_Ava5Oo1r-1gUo1kHub60o3YS-iKwDoWiyvEY7upGqRq60XYURrbWDK2J7hCPKK44ajDBnHiWYasRlrRV1JPZqR3GstL0Azz--H0P_eVHjVB77y9CZk6WNCeOcEez9sQ7VSZVtp_tpqOS5HWUpXGPOMWXcsF7-YZls1LmV5qm6NfMbwRWgnmNT
ContentType Journal Article
Copyright COPYRIGHT 2023 Turkic World Mathematical Society
2023. This work is licensed under http://creativecommons.org/licenses/by-nc/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: COPYRIGHT 2023 Turkic World Mathematical Society
– notice: 2023. This work is licensed under http://creativecommons.org/licenses/by-nc/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID 3V.
7TB
7XB
8FD
8FE
8FG
8FK
8G5
ABJCF
ABUWG
AFKRA
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
EDSIH
FR3
GNUQQ
GUQSH
HCIFZ
KR7
L6V
M2O
M7S
MBDVC
PADUT
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
Q9U
DatabaseName ProQuest Central (Corporate)
Mechanical & Transportation Engineering Abstracts
ProQuest Central (purchase pre-March 2016)
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
Research Library (Alumni)
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
ProQuest Central Essentials
ProQuest Central
ProQuest Technology Collection
ProQuest One Community College
ProQuest Central Korea
Turkey Database (ProQuest)
Engineering Research Database
ProQuest Central Student
ProQuest Research Library
SciTech Collection (ProQuest)
Civil Engineering Abstracts
ProQuest Engineering Collection
Research Library
Engineering Database
Research Library (Corporate)
Research Library China
Proquest Central Premium
ProQuest One Academic (New)
ProQuest Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
ProQuest Central Basic
DatabaseTitle Publicly Available Content Database
Research Library Prep
ProQuest Central Student
Technology Collection
Technology Research Database
ProQuest One Academic Middle East (New)
Mechanical & Transportation Engineering Abstracts
ProQuest Central Essentials
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
Research Library (Alumni Edition)
ProQuest Central China
ProQuest Central
ProQuest One Applied & Life Sciences
ProQuest Engineering Collection
ProQuest Central Korea
Turkey Database
ProQuest Research Library
ProQuest Central (New)
Research Library China
Engineering Collection
Civil Engineering Abstracts
Engineering Database
ProQuest Central Basic
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest SciTech Collection
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
Engineering Research Database
ProQuest One Academic
ProQuest One Academic (New)
ProQuest Central (Alumni)
DatabaseTitleList
Publicly Available Content Database
Database_xml – sequence: 1
  dbid: PIMPY
  name: ProQuest Publicly Available Content Database
  url: http://search.proquest.com/publiccontent
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 2146-1147
ExternalDocumentID A769581568
GeographicLocations India
GeographicLocations_xml – name: India
GroupedDBID .4S
2XV
5VS
8FE
8FG
8G5
ABJCF
ABUWG
ACIWK
ADBBV
AFFHD
AFKRA
ALMA_UNASSIGNED_HOLDINGS
AMVHM
ARCSS
AZQEC
BCNDV
BENPR
BGLVJ
BPHCQ
CCPQU
DWQXO
EDSIH
GNUQQ
GUQSH
HCIFZ
IAO
IEA
ITC
KQ8
L6V
M2O
M7S
OK1
PADUT
PHGZM
PHGZT
PIMPY
PQGLB
PQQKQ
PROAC
PTHSS
RNS
TUS
3V.
7TB
7XB
8FD
8FK
FR3
KR7
MBDVC
PKEHL
PQEST
PQUKI
PRINS
Q9U
ID FETCH-LOGICAL-g250t-9df4fdceb07c37e105bf41a23928058a80d1018695215f08cbfe54c19b4e81ef3
IEDL.DBID M7S
ISICitedReferencesCount 0
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001108753300010&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 2146-1147
IngestDate Fri Jul 25 11:53:38 EDT 2025
Tue Nov 11 10:56:29 EST 2025
Tue Nov 04 18:19:02 EST 2025
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 4
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-g250t-9df4fdceb07c37e105bf41a23928058a80d1018695215f08cbfe54c19b4e81ef3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
OpenAccessLink https://www.proquest.com/docview/3126886219?pq-origsite=%requestingapplication%
PQID 3126886219
PQPubID 2026602
ParticipantIDs proquest_journals_3126886219
gale_infotracmisc_A769581568
gale_infotracacademiconefile_A769581568
PublicationCentury 2000
PublicationDate 2023-01-01
PublicationDateYYYYMMDD 2023-01-01
PublicationDate_xml – month: 01
  year: 2023
  text: 2023-01-01
  day: 01
PublicationDecade 2020
PublicationPlace Istanbul
PublicationPlace_xml – name: Istanbul
PublicationTitle TWMS journal of applied and engineering mathematics
PublicationYear 2023
Publisher Turkic World Mathematical Society
Elman Hasanoglu
Publisher_xml – name: Turkic World Mathematical Society
– name: Elman Hasanoglu
SSID ssj0000866703
Score 2.2054768
Snippet In this paper, we introduce an iterative method for the solution of fully fuzzy single and multi objective linear fractional programming problems with out...
SourceID proquest
gale
SourceType Aggregation Database
StartPage 1383
SubjectTerms Equivalence
Fuzzy algorithms
Fuzzy logic
Fuzzy sets
Fuzzy systems
Iterative methods
Linear programming
Mathematical programming
Mathematical research
Mathematics
Optimization
Pareto optimum
Title AN ITERATIVE APPROACH FOR FUZZY MULTI OBJECTIVE LINEAR FRACTIONAL PROGRAMMING PROBLEM
URI https://www.proquest.com/docview/3126886219
Volume 13
WOSCitedRecordID wos001108753300010&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: PRVPQU
  databaseName: Engineering Database
  customDbUrl:
  eissn: 2146-1147
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000866703
  issn: 2146-1147
  databaseCode: M7S
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl:
  eissn: 2146-1147
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000866703
  issn: 2146-1147
  databaseCode: BENPR
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Publicly Available Content Database
  customDbUrl:
  eissn: 2146-1147
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000866703
  issn: 2146-1147
  databaseCode: PIMPY
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: http://search.proquest.com/publiccontent
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Research Library
  customDbUrl:
  eissn: 2146-1147
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000866703
  issn: 2146-1147
  databaseCode: M2O
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/pqrl
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: Turkey Database (ProQuest)
  customDbUrl:
  eissn: 2146-1147
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0000866703
  issn: 2146-1147
  databaseCode: EDSIH
  dateStart: 20110101
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/turkey
  providerName: ProQuest
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT8JAEN4oetCDbyOKZA8mnhr7gnZPppDySNrSIBDg0nRfxgsorf5-Z0vBkBgv3prubjaZzs58O518H0IPhFNBONcV9SXVbEM2NEJTqnGIhIRxABVFt8UkcKLInU5JXBbcsrKtchMTi0DNl0zVyJ8sw2y6AL8N8vz-oSnVKPV3tZTQ2EcHiiXBKFr3XrY1FoDrTUfJYf0ebYsU0jn97-Zn6KQEj9hbf-1ztCcWF-g43DKvZpdo7EUYopEqPU187MXxcOC1exjuergzns9nOBwHoz4eFDInakrQj3wPBofrdhIvwLCkO_TCsB911XMr8MMrNO74o3ZPK6UTtFfANLlGuLQlZ4LqDrMcASCKSttITUBDrt5wU1fniqqrSSB7N6TuMipFw2YGobZwDSGta1RZLBfiBmFL6aOnkOcdatmEUUJ1k0GiF6aE-y2hVfSorJuoA5GvUpaWff2wWlFLJZ4DuyhOGreKajszwZHZ7vDG-El5kLLkx_K3fw_foSOlBL-ujtRQJV99int0yL7yt2xVRwctP4qHdfAPc1AvvATexf0wnn0DJrDBiw
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V3JTsMwEB2xScCBHbHjA8spImsTHzgESGnUJK1Ki0ovIV6CuBRoC4if4hsZtykICXHjwC2S7UTOjMdvxuN5AAdUMEmF0FXpS6bZRu5olGVME2gJKRcIKobZFteRmyReu03rE_A-vguj0irHNnFoqMUDVzHyE8swSx7Cb4MWGZRV-faK_ln_NLxAYR6aZjlonle0gkJAu8O9faBRkdu54JLpLrdciWCC5baRmYgKPN3xMk8XqmRVieIu5uS6x1kuHZsblNnSM2Ru4XuPHp80xVKlTnMLyo5JmEZHw8F1NR1cXIWVz6gOOgglVxFw_Wzfh5tWefG_TXcJFgp4TPyRPi_DhOyuwHz8WVu2vwotPyFob1Vw7Togfr3eqPnnFYLeLCm3Op0bEreiZkhqQyIX1SUKk8DHxsYoYcaPCA65bPhxHCaX6vksCuI1aP3JVNdhqvvQlRtALMUAnyGScZllU84o002OUEaaOXrwlG3CsZJmqpb8oJfxrLi5gKNV8azUd_ErquqOtwk733riUuXfm8fCTgtT0U-_JL31e_M-zFaacZTiX6tuw5zivR_FgnZgatB7lrsww18G9_3eXqGVBG7_Wlk-AAr_Gy0
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=AN+ITERATIVE+APPROACH+FOR+FUZZY+MULTI+OBJECTIVE+LINEAR+FRACTIONAL+PROGRAMMING+PROBLEM&rft.jtitle=TWMS+journal+of+applied+and+engineering+mathematics&rft.au=Loganathan%2C+T&rft.au=Ganesan%2C+K&rft.date=2023-01-01&rft.pub=Elman+Hasanoglu&rft.eissn=2146-1147&rft.volume=13&rft.issue=4&rft.spage=1383
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2146-1147&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2146-1147&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2146-1147&client=summon