Finding the numerical compensation in multiple criteria decision-making problems under fuzzy environment

In this paper, we have developed a methodology to derive the level of compensation numerically in multiple criteria decision-making (MCDM) problems under fuzzy environment. The degree of compensation is dependent on the tranquility and anxiety level experienced by the decision-maker while taking the...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:International journal of systems science Ročník 48; číslo 6; s. 1301 - 1310
Hlavní autoři: Gupta, Mahima, Mohanty, B. K.
Médium: Journal Article
Jazyk:angličtina
Vydáno: London Taylor & Francis 26.04.2017
Taylor & Francis Ltd
Témata:
Agglomeration
Anxiety
Compensation
Criteria
Decision making
degree of compensation
Fuzzy logic
Fuzzy sets
Goal programming
Indexing
Integer programming
Mathematical models
Multiple criteria analysis
Multiple criterion
Risk
Risk levels
risk prone
tranquility
ISSN:0020-7721, 1464-5319
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract In this paper, we have developed a methodology to derive the level of compensation numerically in multiple criteria decision-making (MCDM) problems under fuzzy environment. The degree of compensation is dependent on the tranquility and anxiety level experienced by the decision-maker while taking the decision. Higher tranquility leads to the higher realisation of the compensation whereas the increased level of anxiety reduces the amount of compensation in the decision process. This work determines the level of tranquility (or anxiety) using the concept of fuzzy sets and its various level sets. The concepts of indexing of fuzzy numbers, the risk barriers and the tranquility level of the decision-maker are used to derive his/her risk prone or risk averse attitude of decision-maker in each criterion. The aggregation of the risk levels in each criterion gives us the amount of compensation in the entire MCDM problem. Inclusion of the compensation leads us to model the MCDM problem as binary integer programming problem (BIP). The solution to BIP gives us the compensatory decision to MCDM. The proposed methodology is illustrated through a numerical example.
AbstractList In this paper, we have developed a methodology to derive the level of compensation numerically in multiple criteria decision-making (MCDM) problems under fuzzy environment. The degree of compensation is dependent on the tranquility and anxiety level experienced by the decision-maker while taking the decision. Higher tranquility leads to the higher realisation of the compensation whereas the increased level of anxiety reduces the amount of compensation in the decision process. This work determines the level of tranquility (or anxiety) using the concept of fuzzy sets and its various level sets. The concepts of indexing of fuzzy numbers, the risk barriers and the tranquility level of the decision-maker are used to derive his/her risk prone or risk averse attitude of decision-maker in each criterion. The aggregation of the risk levels in each criterion gives us the amount of compensation in the entire MCDM problem. Inclusion of the compensation leads us to model the MCDM problem as binary integer programming problem (BIP). The solution to BIP gives us the compensatory decision to MCDM. The proposed methodology is illustrated through a numerical example.
Author Gupta, Mahima
Mohanty, B. K.
Author_xml – sequence: 1
  givenname: Mahima
  surname: Gupta
  fullname: Gupta, Mahima
  organization: Institute of Management Technology
– sequence: 2
  givenname: B. K.
  surname: Mohanty
  fullname: Mohanty, B. K.
  email: mohanty@iiml.ac.in
  organization: Indian Institute of Management, Decision Science
BookMark eNqFkE1v1DAQQC1UJLalPwHJEhcuWTx2ko3FBVTRglSJCz1bjjOmLv5YbAe0_fVNuuXSA5zmMO-NRu-UnMQUkZA3wLbABvaeMc52Ow5bzqDfAu-4lOwF2UDbt00nQJ6Qzco0K_SKnJZyxxjrOs425PbSxcnFH7TeIo1zwOyM9tSksMdYdHUpUhdpmH11e4_UZFcXRtMJjSvLtgn65-rvcxo9hkLnOGGmdr6_P1CMv11OMWCsr8lLq33B86d5Rm4uP3-_-NJcf7v6evHpujFiB7WB3nLsBjExwyYp-DBMRgjUgwQ7jbYdjBlH7FvNBfTaQA9G2nYUoIWZRNuJM_LueHd56NeMpargikHvdcQ0FwWStSClELsFffsMvUtzjst3C8UFE8Afqe5ImZxKyWjVPrug80EBU2t_9be_Wvurp_6L9-GZZ1x9DFqzdv6_9sej7aJNOeg_KftJVX3wKdus4xJfiX-feABPa6Hs
CitedBy_id crossref_primary_10_1016_j_asoc_2019_105997
Cites_doi 10.1016/0165-0114(78)90032-5
10.1016/S0165-0114(98)00409-6
10.1016/j.mcm.2011.01.038
10.1016/0165-0114(89)90084-5
10.1016/S0165-0114(02)00429-3
10.1016/j.dss.2010.11.021
10.1002/int.4550010405
10.1109/ICACTE.2008.209
10.1142/S0218488501000697
10.1016/S0165-0114(98)00262-0
10.1007/978-3-642-83555-1_19
10.1016/S0165-0114(98)00263-2
10.1016/S0165-0114(82)80003-1
10.1016/S0165-0114(02)00267-1
10.1007/s10479-006-0064-1
10.1016/j.dss.2003.10.002
10.1016/0165-0114(80)90062-7
10.1016/0165-0114(93)90374-Q
10.1016/j.ejor.2012.08.019
10.1016/j.ejor.2004.11.008
10.1109/21.87068
10.1016/0165-0114(93)90194-M
10.1016/0305-0548(90)90032-3
10.1080/03081078208547443
10.1016/0165-0114(88)90097-8
10.1016/j.omega.2011.08.006
10.1016/j.dss.2006.10.007
10.1016/S0898-1221(01)00124-9
10.2991/eusflat.2013.101
10.1016/j.asoc.2004.04.002
10.1016/j.asoc.2009.11.017
10.1016/0165-0114(78)90031-3
ContentType Journal Article
Copyright 2016 Informa UK Limited, trading as Taylor & Francis Group 2016
2016 Informa UK Limited, trading as Taylor & Francis Group
Copyright_xml – notice: 2016 Informa UK Limited, trading as Taylor & Francis Group 2016
– notice: 2016 Informa UK Limited, trading as Taylor & Francis Group
DBID AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
DOI 10.1080/00207721.2016.1252990
DatabaseName CrossRef
Computer and Information Systems Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Computer and Information Systems Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Advanced Technologies Database with Aerospace
ProQuest Computer Science Collection
Computer and Information Systems Abstracts Professional
DatabaseTitleList Computer and Information Systems Abstracts
Computer and Information Systems Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1464-5319
EndPage 1310
ExternalDocumentID 10_1080_00207721_2016_1252990
1252990
Genre Article
GroupedDBID -~X
.7F
.DC
.QJ
0BK
0R~
29J
30N
4.4
5GY
5VS
8VB
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACNCT
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGDLA
AGMYJ
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AQTUD
AVBZW
AWYRJ
BLEHA
CCCUG
CE4
CS3
DGEBU
DKSSO
DU5
EBS
EJD
E~A
E~B
F5P
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
KYCEM
M4Z
MS~
NA5
NX~
O9-
P2P
QWB
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEN
TFL
TFT
TFW
TNC
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
ZL0
~02
~S~
AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c371t-16f2e583d0c0d93288dc33ea891fdbf48ccbbe64a2316ac161c9f4b31a3cd3453
IEDL.DBID TFW
ISICitedReferencesCount 2
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000396820200016&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0020-7721
IngestDate Fri Sep 05 13:15:47 EDT 2025
Sun Nov 09 07:29:23 EST 2025
Tue Nov 18 22:41:45 EST 2025
Sat Nov 29 02:12:35 EST 2025
Mon Oct 20 23:24:18 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c371t-16f2e583d0c0d93288dc33ea891fdbf48ccbbe64a2316ac161c9f4b31a3cd3453
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
PQID 1923031237
PQPubID 2045514
PageCount 10
ParticipantIDs informaworld_taylorfrancis_310_1080_00207721_2016_1252990
proquest_miscellaneous_1904199337
crossref_primary_10_1080_00207721_2016_1252990
proquest_journals_1923031237
crossref_citationtrail_10_1080_00207721_2016_1252990
PublicationCentury 2000
PublicationDate 2017-04-26
PublicationDateYYYYMMDD 2017-04-26
PublicationDate_xml – month: 04
  year: 2017
  text: 2017-04-26
  day: 26
PublicationDecade 2010
PublicationPlace London
PublicationPlace_xml – name: London
PublicationTitle International journal of systems science
PublicationYear 2017
Publisher Taylor & Francis
Taylor & Francis Ltd
Publisher_xml – name: Taylor & Francis
– name: Taylor & Francis Ltd
References cit0011
cit0012
cit0031
Grabisch M. (cit0009) 2001; 9
cit0010
cit0032
cit0030
Felix R. (cit0007) 2008
cit0019
cit0017
cit0018
cit0015
cit0016
cit0013
cit0014
cit0022
cit0001
cit0023
cit0020
cit0021
cit0008a
cit0008
cit0006
cit0028
cit0029
cit0004
cit0026
cit0005
cit0027
cit0002
cit0024
cit0003
cit0025
References_xml – ident: cit0024
  doi: 10.1016/0165-0114(78)90032-5
– ident: cit0025
  doi: 10.1016/S0165-0114(98)00409-6
– ident: cit0014
  doi: 10.1016/j.mcm.2011.01.038
– ident: cit0001
  doi: 10.1016/0165-0114(89)90084-5
– ident: cit0015
  doi: 10.1016/S0165-0114(02)00429-3
– ident: cit0011
  doi: 10.1016/j.dss.2010.11.021
– ident: cit0013
  doi: 10.1002/int.4550010405
– ident: cit0019
  doi: 10.1109/ICACTE.2008.209
– volume: 9
  start-page: 145
  year: 2001
  ident: cit0009
  publication-title: International Journal of Uncertainty Fuzziness and Knowledge Based System
  doi: 10.1142/S0218488501000697
– ident: cit0021
  doi: 10.1016/S0165-0114(98)00262-0
– ident: cit0027
  doi: 10.1007/978-3-642-83555-1_19
– ident: cit0012
  doi: 10.1016/S0165-0114(98)00263-2
– ident: cit0017
  doi: 10.1016/S0165-0114(82)80003-1
– ident: cit0008a
  doi: 10.1016/S0165-0114(02)00267-1
– ident: cit0010
  doi: 10.1007/s10479-006-0064-1
– ident: cit0020
  doi: 10.1016/j.dss.2003.10.002
– ident: cit0032
  doi: 10.1016/0165-0114(80)90062-7
– ident: cit0005
  doi: 10.1016/0165-0114(93)90374-Q
– ident: cit0018
  doi: 10.1016/j.ejor.2012.08.019
– ident: cit0016
  doi: 10.1016/j.ejor.2004.11.008
– ident: cit0028
  doi: 10.1109/21.87068
– ident: cit0030
  doi: 10.1016/0165-0114(93)90194-M
– ident: cit0022
  doi: 10.1016/0305-0548(90)90032-3
– ident: cit0029
  doi: 10.1080/03081078208547443
– ident: cit0023
  doi: 10.1016/0165-0114(88)90097-8
– ident: cit0006
  doi: 10.1016/j.omega.2011.08.006
– ident: cit0026
  doi: 10.1016/j.dss.2006.10.007
– ident: cit0003
  doi: 10.1016/S0898-1221(01)00124-9
– ident: cit0008
  doi: 10.2991/eusflat.2013.101
– ident: cit0002
  doi: 10.1016/j.asoc.2004.04.002
– ident: cit0004
  doi: 10.1016/j.asoc.2009.11.017
– ident: cit0031
  doi: 10.1016/0165-0114(78)90031-3
– start-page: (pp. 1431
  year: 2008
  ident: cit0007
  publication-title: L. Magdalena, M. Ojeda-Aciego, & J.L. Verdegay
SSID ssj0005520
Score 2.1514947
Snippet In this paper, we have developed a methodology to derive the level of compensation numerically in multiple criteria decision-making (MCDM) problems under fuzzy...
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1301
SubjectTerms Agglomeration
Anxiety
Compensation
Criteria
Decision making
degree of compensation
Fuzzy logic
Fuzzy sets
Goal programming
Indexing
Integer programming
Mathematical models
Multiple criteria analysis
Multiple criterion
Risk
Risk levels
risk prone
tranquility
Title Finding the numerical compensation in multiple criteria decision-making problems under fuzzy environment
URI https://www.tandfonline.com/doi/abs/10.1080/00207721.2016.1252990
https://www.proquest.com/docview/1923031237
https://www.proquest.com/docview/1904199337
Volume 48
WOSCitedRecordID wos000396820200016&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: PRVAWR
  databaseName: Taylor & Francis
  customDbUrl:
  eissn: 1464-5319
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0005520
  issn: 0020-7721
  databaseCode: TFW
  dateStart: 19701001
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1NT8MwDI3QxAEOfCMGAwWJa6e2yZr0iBAVBzRxGLBblaapmDQ6tLZI7Ndjt-nYhBAHOLduqzi2n5tnm5CrwA2lVApyEwi-Dk-YcZRg3BE458FIE-ia8v90L4ZDOR6HD5ZNWFhaJebQWdMoovbVaNwqKVpGHFZwuwAKMbvzgj5EaHSp4IUB2SOpbxQ9f5E8BrYxIyRJKNLW8Pz0lLXotNa79JuvrgNQtPsPn75Hdiz6pNfNdtknGyY_INsrPQkPyUs0qQtdKCBDmlfNgc6UIvUcMt5aj3SS05aISMHrYLtnRVM7rcd5rQdcUTuqpqBYpjanWbVYfNCVuroj8hjdjm7uHDuOwdFMeKXjBZlvBpKlrnZTgH1Sppoxo2ToZWmScal1kpiAK4CMgdIAJXWYgfY9xXTK-IAdk04-y80JoeGAiUSmmS-E5pAQJgJSwZQbZjTjcGuX8FYNsba9ynFkxjT2li1Nm4WMcSFju5Bd0l-KvTXNOn4TCFd1HJf1X5KsGWkSs19ke-2GiK3dFzHiZXCTPhNdcrm8DBaLxzAqN7MK73E50iaZOP3D68_Ilo8Iw-WOH_RIp5xX5pxs6vdyUswvaiv4BJkCAmI
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LT8MwDLZ4ScCBN2I8g8S1qG2yJj0ixARi7DQetyhNUzFpFLQHEvx67D7GEEIc4Ny4rZLY_pzY_gBOIj9WyhiMTdD5eiLhzjOSC08Sz4NTLrJFyv9dW3Y66uEhnq6FobRKiqGzslFEYatJuekwuk6JoxJuH1EhhXdBdIoummzqLMwTOx0FYN3W_WeaR7NqzYhhEsnUVTw_veaLf_rSvfSbtS5cUGv1P35-DVYqAMrOyh2zDjMu34DlqbaEm_DY6hW1LgzBIcvH5Z1On1H2OQa9xVKyXs7qXESGhoc6PhuWVoQ93lPBccUqtpoho0q1AcvG7-9vbKq0bgtuWxfd80uvYmTwLJfByAuiLHRNxVPf-ikiP6VSy7kzKg6yNMmEsjZJXCQMosbIWESTNs5wAwSG25SLJt-Gufw5dzvA4iaXiUqzUEorMCZMJEaDqXDcWS5waANEvQ7aVu3KiTWjr4NJV9NyIjVNpK4msgGnE7GXsl_HbwLx9CLrUXFQkpWsJpr_Irtf7whdqf5QE2RGSxly2YDjyWNUWrqJMbl7HtMYX1DmJJe7f_j8ESxedm_aun3Vud6DpZAAhy-8MNqHudFg7A5gwb6OesPBYaESH-FIBoU
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3NT9VAEJ8oGCMHEdDwAHVNvJa03W13eyRgo5G8cEDlttnuR3gJFvI-SOSvd6bdPh8hhoOe22mbnZ2Z33RnfgPwsUwrpYzB3ASDbyIa7hMjuUgkzXnwype2K_n_firHY3VxUZ3FasJZLKukHDr0RBGdrybjvnFhqIijDu4UQSFld1l5iBGaXOpTWEfoXNDGPq9__KnyKCIzI2ZJJDM08fztMffC0z3y0gfOuotA9eZ_-PZX8DLCT3bU75cteOLbbdhYISXcgct60nW6MISGrF30JzpXjGrPMeXtFMkmLRsqERm6HeJ7NszFcT3Jz27CFYuzamaM-tSmLCzu7n6xlca61_Ct_nR-_DmJ8xgSy2U2T7Iy5L5Q3KU2dYj7lHKWc29UlQXXBKGsbRpfCoOYsTQWsaStAqo_M9w6Lgr-Btba69bvAqsKLhvlQi6lFZgRNhJzQSc895YLvHUEYlCDtpGsnGZmXOlsyWnaL6SmhdRxIUdwuBS76dk6HhOoVnWs591vktDPNNH8EdmDYUPoaPgzTYAZ_WTO5Qg-LC-jydI5jGn99YLuSQXVTXK59w-vfw_Pz05qffpl_HUfXuSENlKR5OUBrM2nC_8Wntnb-WQ2fdcZxG-94gU3
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=Finding+the+numerical+compensation+in+multiple+criteria+decision-making+problems+under+fuzzy+environment&rft.jtitle=International+journal+of+systems+science&rft.au=Gupta%2C+Mahima&rft.au=Mohanty%2C+B.+K.&rft.date=2017-04-26&rft.pub=Taylor+%26+Francis&rft.issn=0020-7721&rft.eissn=1464-5319&rft.volume=48&rft.issue=6&rft.spage=1301&rft.epage=1310&rft_id=info:doi/10.1080%2F00207721.2016.1252990&rft.externalDocID=1252990
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7721&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7721&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7721&client=summon