A note on ‘Taylor series approach to fuzzy multiple objective linear fractional programming’

Toksari, in his paper ‘Taylor series approach to fuzzy multiobjective linear fractional programming’, published in Information Sciences 178 (2008), proposed a new method to solve multiple objective linear fractional programming problems and declared that it is more effective when compare to previous...

Full description

Saved in:
Bibliographic Details
Published in:Information sciences Vol. 243; pp. 95 - 99
Main Author: Stanojević, Bogdana
Format: Journal Article
Language:English
Published: Elsevier Inc 10.09.2013
Subjects:
Fuzzy mathematical programming
Linear fractional programming
Multi-objective optimization
Fuzzy mathematical programming
Multi-objective optimization
Linear fractional programming
ISSN:0020-0255, 1872-6291
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract Toksari, in his paper ‘Taylor series approach to fuzzy multiobjective linear fractional programming’, published in Information Sciences 178 (2008), proposed a new method to solve multiple objective linear fractional programming problems and declared that it is more effective when compare to previous methods. He constructed fuzzy goals and then used first order Taylor-polynomials to approximate the corresponding linear fractional membership functions by linear functions. Aggregating the linear functions Toksari obtained a crisp linear programming problem and claimed that it is ‘equal’ to the fuzzy fractional one. In this paper, we indicate the fallacy that arises by using Taylor approximation and propose an improved method that guarantees the efficiency of the solution it provides. Both practical applications from Toksari’s paper are recalled to show that the improvements we suggest are effective.
AbstractList Toksari, in his paper ‘Taylor series approach to fuzzy multiobjective linear fractional programming’, published in Information Sciences 178 (2008), proposed a new method to solve multiple objective linear fractional programming problems and declared that it is more effective when compare to previous methods. He constructed fuzzy goals and then used first order Taylor-polynomials to approximate the corresponding linear fractional membership functions by linear functions. Aggregating the linear functions Toksari obtained a crisp linear programming problem and claimed that it is ‘equal’ to the fuzzy fractional one. In this paper, we indicate the fallacy that arises by using Taylor approximation and propose an improved method that guarantees the efficiency of the solution it provides. Both practical applications from Toksari’s paper are recalled to show that the improvements we suggest are effective.
Author Stanojević, Bogdana
Author_xml – sequence: 1
  givenname: Bogdana
  surname: Stanojević
  fullname: Stanojević, Bogdana
  email: bgdnpop@mi.sanu.ac.rs
  organization: Mathematical Institute of the Serbian Academy of Sciences and Arts, Kneza Mihaila 36, 11001 Belgrade, Serbia
BookMark eNp9kMtqAjEUhkOxULV9gO7yAjM9ydyUrkR6A6Ebu04zmRMbGRNJRkFXPkb7ej5JI3bVhavDgfP9_OcbkJ51Fgm5Z5AyYOXDMjU2pBxYlkKeQpZfkT4bVTwp-Zj1SB-AQwK8KG7IIIQlAORVWfbJ54Ra1yF1lh4P33O5a52nAb3BQOV67Z1UX7RzVG_2-x1dbdrOrNt4Xi9RdWaLtDUWpafay7g7K1saoYWXq5Wxi-Ph55Zca9kGvPubQ_Lx_DSfviaz95e36WSWKD6uuiSvdYEKxpAja2qudK4xlswkcFbJelSPCoRsVOqsBhzzIisj16hc6qJRVSWzIanOucq7EDxqoUwnT5U6L00rGIiTKLEUUZQ4iRKQiygqkuwfufZmJf3uIvN4ZjC-tDXoRVAGrcLG-ChGNM5coH8Bcm6HPA
CitedBy_id crossref_primary_10_1007_s40092_014_0073_7
crossref_primary_10_1007_s10100_023_00848_2
crossref_primary_10_1016_j_asoc_2020_106354
Cites_doi 10.1016/S0165-0114(96)00100-5
10.1057/jors.2009.185
10.1016/j.ejor.2004.08.042
10.1016/j.ins.2007.06.010
10.1016/j.amc.2006.06.101
10.1016/j.apm.2013.01.041
10.1016/0165-0114(78)90031-3
ContentType Journal Article
Copyright 2013 Elsevier Inc.
Copyright_xml – notice: 2013 Elsevier Inc.
DBID AAYXX
CITATION
DOI 10.1016/j.ins.2013.04.034
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Library & Information Science
EISSN 1872-6291
EndPage 99
ExternalDocumentID 10_1016_j_ins_2013_04_034
S0020025513003447
GroupedDBID --K
--M
--Z
-~X
.DC
.~1
0R~
1B1
1RT
1~.
1~5
4.4
457
4G.
5GY
5VS
7-5
71M
8P~
9JN
9JO
AAAKF
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AARIN
AAXUO
AAYFN
ABAOU
ABBOA
ABFNM
ABJNI
ABMAC
ABUCO
ABXDB
ABYKQ
ACAZW
ACDAQ
ACGFS
ACRLP
ACZNC
ADBBV
ADEZE
ADGUI
ADTZH
AEBSH
AECPX
AEKER
AENEX
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHHHB
AHJVU
AHZHX
AIALX
AIEXJ
AIGVJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
AOUOD
APLSM
ARUGR
AXJTR
BJAXD
BKOJK
BLXMC
CS3
DU5
EBS
EFJIC
EFLBG
EO8
EO9
EP2
EP3
F5P
FDB
FIRID
FNPLU
FYGXN
G-Q
GBLVA
GBOLZ
HAMUX
IHE
J1W
JJJVA
KOM
LG9
LY1
M41
MHUIS
MO0
MS~
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P2P
PC.
Q38
RIG
ROL
RPZ
SDF
SDG
SDP
SES
SPC
SPCBC
SSB
SSD
SST
SSV
SSW
SSZ
T5K
TN5
TWZ
WH7
XPP
ZMT
~02
~G-
1OL
29I
77I
9DU
AAAKG
AAQXK
AATTM
AAXKI
AAYWO
AAYXX
ABEFU
ABWVN
ACLOT
ACNNM
ACRPL
ACVFH
ADCNI
ADJOM
ADMUD
ADNMO
ADVLN
AEIPS
AEUPX
AFFNX
AFJKZ
AFPUW
AGQPQ
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
APXCP
ASPBG
AVWKF
AZFZN
CITATION
EFKBS
EJD
FEDTE
FGOYB
HLZ
HVGLF
HZ~
H~9
R2-
SBC
SDS
SEW
UHS
WUQ
YYP
ZY4
~HD
ID FETCH-LOGICAL-c297t-4bf5ec0904e1db2cf4fe0003a0217ab8b85e0386f3b0e92536c29dc4af5dc77a3
ISICitedReferencesCount 4
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000321177900007&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0020-0255
IngestDate Sat Nov 29 07:25:19 EST 2025
Tue Nov 18 22:45:15 EST 2025
Fri Feb 23 02:23:16 EST 2024
IsPeerReviewed true
IsScholarly true
Keywords Fuzzy mathematical programming
Multi-objective optimization
Linear fractional programming
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c297t-4bf5ec0904e1db2cf4fe0003a0217ab8b85e0386f3b0e92536c29dc4af5dc77a3
PageCount 5
ParticipantIDs crossref_citationtrail_10_1016_j_ins_2013_04_034
crossref_primary_10_1016_j_ins_2013_04_034
elsevier_sciencedirect_doi_10_1016_j_ins_2013_04_034
PublicationCentury 2000
PublicationDate 2013-09-10
PublicationDateYYYYMMDD 2013-09-10
PublicationDate_xml – month: 09
  year: 2013
  text: 2013-09-10
  day: 10
PublicationDecade 2010
PublicationTitle Information sciences
PublicationYear 2013
Publisher Elsevier Inc
Publisher_xml – name: Elsevier Inc
References Stancu-Minasian (b0030) 1997
Ehrgott (b0010) 2005
B. Stanojević, M. Stanojević, On the efficiency test in multi-objective linear fractional programming problems by Lotfi et al. 2010, Applied Mathematical Modeling (in press), doi:10.1016/j.apm.2013.01.041.
Mohamed (b0025) 1997; 89
Steuer (b0040) 1989
Zimmermann (b0050) 1978; 1
Ji, Zhang, Qu (b0015) 2007; 185
Caballero, Hernandez (b0005) 2006; 172
Toksari (b0045) 2008; 178
Larabani, Aouni (b0020) 2011; 62
Mohamed (10.1016/j.ins.2013.04.034_b0025) 1997; 89
Steuer (10.1016/j.ins.2013.04.034_b0040) 1989
Larabani (10.1016/j.ins.2013.04.034_b0020) 2011; 62
10.1016/j.ins.2013.04.034_b0035
Stancu-Minasian (10.1016/j.ins.2013.04.034_b0030) 1997
Zimmermann (10.1016/j.ins.2013.04.034_b0050) 1978; 1
Ehrgott (10.1016/j.ins.2013.04.034_b0010) 2005
Ji (10.1016/j.ins.2013.04.034_b0015) 2007; 185
Toksari (10.1016/j.ins.2013.04.034_b0045) 2008; 178
Caballero (10.1016/j.ins.2013.04.034_b0005) 2006; 172
References_xml – year: 2005
  ident: b0010
  article-title: Multicriteria Optimization
– volume: 172
  start-page: 31
  year: 2006
  end-page: 39
  ident: b0005
  article-title: Restoration of efficiency in a goal programming problem with linear fractional criteria
  publication-title: European Journal of Operational Research
– volume: 178
  start-page: 1189
  year: 2008
  end-page: 1204
  ident: b0045
  article-title: Taylor series approach to fuzzy multiobjective linear fractional programming
  publication-title: Information Sciences
– year: 1989
  ident: b0040
  article-title: Multiple Criteria Optimization: Theory, Computation, and Application
– volume: 1
  start-page: 45
  year: 1978
  end-page: 56
  ident: b0050
  article-title: Fuzzy programming and linear programming with several objective functions
  publication-title: Fuzzy Sets and Systems
– volume: 89
  start-page: 215
  year: 1997
  end-page: 222
  ident: b0025
  article-title: The relationship between goal programming and fuzzy programming
  publication-title: Fuzzy Sets and Systems
– volume: 62
  start-page: 175
  year: 2011
  end-page: 182
  ident: b0020
  article-title: A new method for generating an efficient solution within goal programming model
  publication-title: Journal of Operations Research Society
– volume: 185
  start-page: 382
  year: 2007
  end-page: 387
  ident: b0015
  article-title: A deterministic global optimization algorithm
  publication-title: Applied Mathematics and Computation
– year: 1997
  ident: b0030
  article-title: Fractional Programming, Theory, Methods and Applications
– reference: B. Stanojević, M. Stanojević, On the efficiency test in multi-objective linear fractional programming problems by Lotfi et al. 2010, Applied Mathematical Modeling (in press), doi:10.1016/j.apm.2013.01.041.
– year: 1989
  ident: 10.1016/j.ins.2013.04.034_b0040
– volume: 89
  start-page: 215
  year: 1997
  ident: 10.1016/j.ins.2013.04.034_b0025
  article-title: The relationship between goal programming and fuzzy programming
  publication-title: Fuzzy Sets and Systems
  doi: 10.1016/S0165-0114(96)00100-5
– volume: 62
  start-page: 175
  year: 2011
  ident: 10.1016/j.ins.2013.04.034_b0020
  article-title: A new method for generating an efficient solution within goal programming model
  publication-title: Journal of Operations Research Society
  doi: 10.1057/jors.2009.185
– volume: 172
  start-page: 31
  issue: 1
  year: 2006
  ident: 10.1016/j.ins.2013.04.034_b0005
  article-title: Restoration of efficiency in a goal programming problem with linear fractional criteria
  publication-title: European Journal of Operational Research
  doi: 10.1016/j.ejor.2004.08.042
– volume: 178
  start-page: 1189
  year: 2008
  ident: 10.1016/j.ins.2013.04.034_b0045
  article-title: Taylor series approach to fuzzy multiobjective linear fractional programming
  publication-title: Information Sciences
  doi: 10.1016/j.ins.2007.06.010
– year: 1997
  ident: 10.1016/j.ins.2013.04.034_b0030
– volume: 185
  start-page: 382
  year: 2007
  ident: 10.1016/j.ins.2013.04.034_b0015
  article-title: A deterministic global optimization algorithm
  publication-title: Applied Mathematics and Computation
  doi: 10.1016/j.amc.2006.06.101
– year: 2005
  ident: 10.1016/j.ins.2013.04.034_b0010
– ident: 10.1016/j.ins.2013.04.034_b0035
  doi: 10.1016/j.apm.2013.01.041
– volume: 1
  start-page: 45
  year: 1978
  ident: 10.1016/j.ins.2013.04.034_b0050
  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
SSID ssj0004766
Score 2.092679
Snippet Toksari, in his paper ‘Taylor series approach to fuzzy multiobjective linear fractional programming’, published in Information Sciences 178 (2008), proposed a...
SourceID crossref
elsevier
SourceType Enrichment Source
Index Database
Publisher
StartPage 95
SubjectTerms Fuzzy mathematical programming
Linear fractional programming
Multi-objective optimization
Title A note on ‘Taylor series approach to fuzzy multiple objective linear fractional programming’
URI https://dx.doi.org/10.1016/j.ins.2013.04.034
Volume 243
WOSCitedRecordID wos000321177900007&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: 1872-6291
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0004766
  issn: 0020-0255
  databaseCode: AIEXJ
  dateStart: 19950101
  isFulltext: true
  titleUrlDefault: https://www.sciencedirect.com
  providerName: Elsevier
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Pb9MwFLeg48AOaAzQBmzyAXFYFSm1ndg-VmjTNk0ThyH1ltmJjahYMrUdGjvtY8DX2yfhObbTMDbEDlyiyqpfkv5-fX7Pfn8QeketIlVO84SJ3DgHZZQIkeukIpZIw7OK2raI6xE_PhaTifwYCirM23YCvK7F5aU8_69QwxiA7VJnHwB3JxQG4DOADleAHa7_BPx4WDfu7B9QDYEMwrvlQ3d7M-_KiDuz015cXX1fRhU2euoV4NBZn2o2tDOf-ODytXwk15nLkA6CZd-0DYlNLZ_CutrZ665XcTOFNbi1XXlLquZzpXzr7rjr4DpAyCTEn8YsgDRx_khfkxJGe7rQN88Mq6p_oj_0td86mIKT4Uqnj2hbdjbsbv5WG_vWmtVFEsYgtWkBIgonokhZASIeoxXCMykGaGV8sDs5XCbLcn-AHV8gHnW3QX-3nuNuY6VngJysoWfBc8Bjj_hz9MjU62i1V09yHW2FLBT8HvfQwEF_v0CnY-y4gWHs5vqHZwX2rMCRFXjR4JYVOLICd6zAnhV4yQrcY8XN9c-X6NPe7smH_SS02EhKIvkiYdpmpkxlysyo0qS0zBrnJivnqiottMhMSkVuqU6NJBnNYV5VMmWzquRc0VdoUDe12UCY5jKTVhpCK_Bp80xpTYVSTJoRjNB0E6XxtyzKUH_etUH5WtyL4Sba6aac--Irf_syiwAVgeXeKiyAbPdPe_2Qe7xBT5d_hrdosJhdmC30pPy2-DKfbQem_QKtLZE9
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=A+note+on+%E2%80%98Taylor+series+approach+to+fuzzy+multiple+objective+linear+fractional+programming%E2%80%99&rft.jtitle=Information+sciences&rft.au=Stanojevi%C4%87%2C+Bogdana&rft.date=2013-09-10&rft.issn=0020-0255&rft.volume=243&rft.spage=95&rft.epage=99&rft_id=info:doi/10.1016%2Fj.ins.2013.04.034&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_ins_2013_04_034
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-0255&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-0255&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-0255&client=summon