Evaluating decision-making units under uncertainty using fuzzy multi-objective nonlinear programming

This paper proposes a new method to evaluate decision-making units (DMUs) under uncertainty using fuzzy data envelopment analysis (DEA). In the proposed multi-objective nonlinear programming methodology, both the objective functions and the constraints are considered fuzzy. This model is comprehensi...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:INFOR. Information systems and operational research Ročník 55; číslo 1; s. 1 - 15
Hlavní autori: Zerafat Angiz, Madjid Langroudi, Nawawi, Mohd Kamal Mohd, Khalid, Ruzelan, Mustafa, Adli, Emrouznejad, Ali, John, Robert, Kendall, Graham
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Taylor & Francis 01.01.2017
Predmet:
Fuzzy DEA
fuzzy multi-objective linear programming
membership function
possibility programming
ISSN:0315-5986, 1916-0615
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract This paper proposes a new method to evaluate decision-making units (DMUs) under uncertainty using fuzzy data envelopment analysis (DEA). In the proposed multi-objective nonlinear programming methodology, both the objective functions and the constraints are considered fuzzy. This model is comprehensive in dealing with uncertainty, in the sense that coefficients of the decision variables in the objective functions and in the constraints, as well as the DMUs under assessment, are assumed to be fuzzy numbers with triangular membership functions. A comparison between the current fuzzy DEA models and the proposed method is illustrated by a numerical example.
AbstractList This paper proposes a new method to evaluate decision-making units (DMUs) under uncertainty using fuzzy data envelopment analysis (DEA). In the proposed multi-objective nonlinear programming methodology, both the objective functions and the constraints are considered fuzzy. This model is comprehensive in dealing with uncertainty, in the sense that coefficients of the decision variables in the objective functions and in the constraints, as well as the DMUs under assessment, are assumed to be fuzzy numbers with triangular membership functions. A comparison between the current fuzzy DEA models and the proposed method is illustrated by a numerical example.
Author Kendall, Graham
Mustafa, Adli
John, Robert
Nawawi, Mohd Kamal Mohd
Khalid, Ruzelan
Emrouznejad, Ali
Zerafat Angiz, Madjid Langroudi
Author_xml – sequence: 1
  givenname: Madjid Langroudi
  surname: Zerafat Angiz
  fullname: Zerafat Angiz, Madjid Langroudi
  organization: School of Quantitative Sciences, Universiti Utara Malaysia
– sequence: 2
  givenname: Mohd Kamal Mohd
  orcidid: 0000-0003-4447-9941
  surname: Nawawi
  fullname: Nawawi, Mohd Kamal Mohd
  email: mdkamal@uum.edu.my
  organization: School of Quantitative Sciences, Universiti Utara Malaysia
– sequence: 3
  givenname: Ruzelan
  surname: Khalid
  fullname: Khalid, Ruzelan
  organization: School of Quantitative Sciences, Universiti Utara Malaysia
– sequence: 4
  givenname: Adli
  surname: Mustafa
  fullname: Mustafa, Adli
  organization: School of Mathematical Sciences, Universiti Sains Malaysia
– sequence: 5
  givenname: Ali
  surname: Emrouznejad
  fullname: Emrouznejad, Ali
  organization: Aston Business School, Aston University
– sequence: 6
  givenname: Robert
  surname: John
  fullname: John, Robert
  organization: ASAP Research Group, School of Computer Science, University of Nottingham
– sequence: 7
  givenname: Graham
  surname: Kendall
  fullname: Kendall, Graham
  organization: School of Computer Science, University of Nottingham Malaysia Campus
BookMark eNp9kM1qwzAQhEVJoUnaRyj4BZxqLUu2by0h_YFAL-1ZrGQ5KLXlIMkpydPXpum1l1mWnRmWb0FmrneGkHugK6AlfaAMOK9KscooiBVkOa3y_IrMoQKRUgF8RuaTJ51MN2QRwp5SyFgBc1JvjtgOGK3bJbXRNtjepR1-TfvgbAyj1saPqo2PaF08JUOYrs1wPp-SbmijTXu1Nzrao0nG11rrDPrk4Pudx64bvbfkusE2mLvLXJLP583H-jXdvr-8rZ-2qWasiGlWF1UmlMoboIpxhSrXZa5VbUoNZYXKAHKtGReoylpkDDVwrYqqqBQIVbAl4b-92vcheNPIg7cd-pMEKidU8g-VnFDJC6ox9_ibs67pfYffvW9rGfHU9r7x6EYskv1f8QNainXj
Cites_doi 10.1016/S0898-1221(00)00088-2
10.1016/S0165-0114(99)00106-2
10.1016/S0165-0114(98)00137-7
10.1016/j.fss.2004.10.022
10.1016/j.eswa.2011.07.118
10.1080/1350485032000126703
10.1016/j.seps.2007.07.002
10.1007/978-3-642-41372-8_1
10.1023/B:FODM.0000003953.39947.b4
10.1016/S0165-0114(02)00608-5
10.1016/j.ejor.2010.07.025
10.1016/j.ejor.2006.01.015
10.1016/j.eswa.2009.12.078
10.1016/j.omega.2012.11.004
10.1080/03081077508960870
10.1023/A:1019648512614
10.1016/j.fss.2010.04.010
10.1007/s10663-014-9262-2
10.1016/S0165-0114(02)00484-0
10.1016/j.ejor.2011.05.028
10.1016/0898-1221(92)90203-T
10.1016/j.fss.2007.08.010
10.1016/j.ejor.2007.12.029
10.1016/0377-2217(78)90138-8
10.1016/j.cam.2008.03.003
10.1016/j.omega.2011.08.010
10.1016/j.healthpol.2011.11.010
10.1007/978-3-642-48753-8_3
10.1287/mnsc.30.9.1078
10.1016/0165-0114(78)90031-3
ContentType Journal Article
Copyright 2016 Canadian Operational Research Society (CORS) 2016
Copyright_xml – notice: 2016 Canadian Operational Research Society (CORS) 2016
DBID AAYXX
CITATION
DOI 10.1080/03155986.2016.1240944
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Computer Science
EISSN 1916-0615
EndPage 15
ExternalDocumentID 10_1080_03155986_2016_1240944
1240944
Genre Article
GroupedDBID -~X
0BK
29I
30N
4.4
5GY
7WY
8FL
8R4
8R5
8VB
AAGDL
AAHIA
AAIKC
AAJMT
AALDU
AAMIU
AAMNW
AAPUL
AAQRR
ABLIJ
ABPAQ
ABPPZ
ABXUL
ABXYU
ACGFS
ACNCT
ACTIO
ADCVX
ADGTB
AEGXH
AEISY
AEMOZ
AENEX
AFRVT
AGDLA
AHDZW
AHQJS
AIJEM
AIYEW
AKBVH
AKOOK
AKVCP
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AQTUD
BLEHA
CCCUG
CS3
DGEBU
DKSSO
DU5
EBE
EBO
EBR
EBS
EBU
EJD
EMK
EPL
FJW
H13
K1G
K60
K6~
KYCEM
M4Z
M51
MEJ
MTO
P2P
Q2X
QWB
RNANH
ROSJB
RTWRZ
RWL
RXW
TAE
TASJS
TBQAZ
TDBHL
TEN
TFL
TFT
TFW
TH9
TTHFI
TUROJ
U5U
ZGOLN
ZL0
AAYXX
CITATION
ID FETCH-LOGICAL-c337t-2d7926bb4f10b35bab4c84cbde8c189abe1a5cc356ab8d623ac15cb7979b16b73
IEDL.DBID TFW
ISICitedReferencesCount 1
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000407955400001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0315-5986
IngestDate Sat Nov 29 03:21:31 EST 2025
Mon Oct 20 23:46:42 EDT 2025
IsDoiOpenAccess false
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c337t-2d7926bb4f10b35bab4c84cbde8c189abe1a5cc356ab8d623ac15cb7979b16b73
ORCID 0000-0003-4447-9941
OpenAccessLink https://publications.aston.ac.uk/id/eprint/29757/1/Decision_making_units_under_uncertainty_using_fuzzy_multi_objective_nonlinear_programming.pdf
PageCount 15
ParticipantIDs crossref_primary_10_1080_03155986_2016_1240944
informaworld_taylorfrancis_310_1080_03155986_2016_1240944
PublicationCentury 2000
PublicationDate 2017-01-01
PublicationDateYYYYMMDD 2017-01-01
PublicationDate_xml – month: 01
  year: 2017
  text: 2017-01-01
  day: 01
PublicationDecade 2010
PublicationTitle INFOR. Information systems and operational research
PublicationYear 2017
Publisher Taylor & Francis
Publisher_xml – name: Taylor & Francis
References cit0011
cit0012
cit0031
cit0010
Saati S (cit0019a) 2001; 31
cit0030
cit0019
cit0017
cit0018
cit0015
cit0016
cit0013
cit0014
cit0022
cit0001
cit0023
cit0020
cit0021
cit0008
cit0009
cit0006
Zarafat Angiz M (cit0027) 2006; 1
cit0028
cit0007
cit0029
cit0004
cit0026
cit0005
cit0002
cit0024
cit0003
cit0025
References_xml – ident: cit0022
  doi: 10.1016/S0898-1221(00)00088-2
– ident: cit0007
  doi: 10.1016/S0165-0114(99)00106-2
– ident: cit0010
  doi: 10.1016/S0165-0114(98)00137-7
– ident: cit0008
  doi: 10.1016/j.fss.2004.10.022
– ident: cit0029
  doi: 10.1016/j.eswa.2011.07.118
– ident: cit0003
  doi: 10.1080/1350485032000126703
– ident: cit0005
  doi: 10.1016/j.seps.2007.07.002
– ident: cit0006
  doi: 10.1007/978-3-642-41372-8_1
– ident: cit0015
  doi: 10.1023/B:FODM.0000003953.39947.b4
– ident: cit0013
  doi: 10.1016/S0165-0114(02)00608-5
– ident: cit0004
  doi: 10.1016/j.ejor.2010.07.025
– ident: cit0019
  doi: 10.1016/j.ejor.2006.01.015
– ident: cit0028
  doi: 10.1016/j.eswa.2009.12.078
– ident: cit0016
  doi: 10.1016/j.omega.2012.11.004
– ident: cit0030
  doi: 10.1080/03081077508960870
– volume: 31
  start-page: 47
  year: 2001
  ident: cit0019a
  publication-title: Ricerca Operativa
– ident: cit0020
  doi: 10.1023/A:1019648512614
– ident: cit0018
  doi: 10.1016/j.fss.2010.04.010
– ident: cit0011
  doi: 10.1007/s10663-014-9262-2
– ident: cit0014
  doi: 10.1016/S0165-0114(02)00484-0
– ident: cit0009
  doi: 10.1016/j.ejor.2011.05.028
– ident: cit0021
  doi: 10.1016/0898-1221(92)90203-T
– ident: cit0024
  doi: 10.1016/j.fss.2007.08.010
– ident: cit0026
  doi: 10.1016/j.ejor.2007.12.029
– ident: cit0002
  doi: 10.1016/0377-2217(78)90138-8
– ident: cit0025
  doi: 10.1016/j.cam.2008.03.003
– ident: cit0017
  doi: 10.1016/j.omega.2011.08.010
– ident: cit0023
  doi: 10.1016/j.healthpol.2011.11.010
– volume: 1
  start-page: 131
  year: 2006
  ident: cit0027
  publication-title: Adv Fuzzy Sets Syst
– ident: cit0012
  doi: 10.1007/978-3-642-48753-8_3
– ident: cit0001
  doi: 10.1287/mnsc.30.9.1078
– ident: cit0031
  doi: 10.1016/0165-0114(78)90031-3
SSID ssj0012371
Score 2.0538793
Snippet This paper proposes a new method to evaluate decision-making units (DMUs) under uncertainty using fuzzy data envelopment analysis (DEA). In the proposed...
SourceID crossref
informaworld
SourceType Index Database
Publisher
StartPage 1
SubjectTerms Fuzzy DEA
fuzzy multi-objective linear programming
membership function
possibility programming
Title Evaluating decision-making units under uncertainty using fuzzy multi-objective nonlinear programming
URI https://www.tandfonline.com/doi/abs/10.1080/03155986.2016.1240944
Volume 55
WOSCitedRecordID wos000407955400001&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 and Francis Online Journals
  customDbUrl:
  eissn: 1916-0615
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0012371
  issn: 0315-5986
  databaseCode: TFW
  dateStart: 19710401
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELYQYoCBQgFRXvLA6lLHTuyMCLViQBVDgW6Rz3EqkFpQkyK1vx7bcVA7wAJLplxinX0v-_N3CF2zhBZa0IjYbCO1BYpJCDCREy56EdgIoZgnnn9-EMOhHI_Tx4AmLAOs0tXQRU0U4X21M24FZYOIu3GNCRytuANmJV0boGyJ4hhBbeh3pjkavHyfI0TMl1xOgjiR5g7PT1_ZiE4b3KVrUWfQ-ofxHqD9kHLi23qNHKItM2ujVtPOAQfrbqO9NW7CI5T3Aw_4bILz0IiHTH3vKrywfqDE7vrZ3D51jSqoltiB6Ce4WKxWS-yRiuQd3mqPimf10NUcB0jY1L57jJ4G_dHdPQktGYhmTFQkykUaJQC8oD1gMSjgWnINuZGaylSBoSrWmsWJApnb1EppGmsQqUiBJiDYCdq2_zOnCMvCGKW46hlRcGBcJtzY8s8mZLEUysQd1G2mIvuomTcy2hCaBo1mTqNZ0GgHpesTllV-y6Oo-5Nk7FfZsz_InqPdyMV6vy9zgbar-cJcoh39Wb2W8yu_Hr8AEG_etQ
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwED5BQQIGCgVEeXpgdWliJ05GhFqBKJ0KdItsx6lAakFtitT-emzHQekACyyZconlx7383XcAVyT0Msk8H2tvI9YBigqxICzFlLV9oS0EJ5Z4_rnH-v1oOIyrtTAGVmli6KwgirC62hxuk4wuIXHXpjOB4RU3yKywpS2UjlHoOmwE2tYa_vxB9-X7JsEnNugyItjIlFU8P31mxT6tsJdW7E63_h8j3oNd53Wim2Kb7MOamjSgXnZ0QO6AN2CnQk94AGnHUYFPRih1vXjw2LavQnOtCmbIVKBN9VMWwIJ8gQyOfoSy-XK5QBasiN_FW6FU0aQYO58ihwob63cP4anbGdzeYdeVAUtCWI79lMV-KATNvLYggeCCyohKkapIelHMhfJ4ICUJQi6iVHtXXHqBFCxmsfBCwcgR1PT_1DGgKFOKc8rbimVUEBqFVOkIUPtkQcS4CprQKtci-SjINxKv5DR1M5qYGU3cjDYhrq5YktusR1a0KEnIr7Inf5C9hK27wWMv6d33H05h2zem36ZpzqCWT-fqHDblZ_46m17YzfkFMQji3w
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwED5BQQgGylOUpwdWlyZ24mRE0AhEVXUo0C2yHacCqaVKU6T212MnDmoHWGDJlEus8_ke9ufvAK6J76SSOS7W2UaoCxTlY0FYgilruUJHCE4K4vmXDut2g8Eg7Fk04dTCKk0NnZZEEYWvNot7kqQVIu7GNCYwtOIGmOU3dYDSJQpdhw2dOvvGyPvR6_dBgkuKmsuIYCNTXeL56TMr4WmFvHQp7ET1fxjwHuzanBPdlkayD2tqfAD1qp8Dssv7AHaWyAkPIWlbIvDxECW2Ew8eFc2r0Ew7giky988y_ZQlrCCfI4OiH6J0tljMUQFVxB_ivXSpaFwOnWfIYsJG-t0jeI7a_bsHbHsyYEkIy7GbsND1haCp0xLEE1xQGVApEhVIJwi5UA73pCSez0WQ6NyKS8eTgoUsFI4vGDmGmv6fOgEUpEpxTnlLsZQKQgOfKl3_6YzMCxhXXgOa1VTEk5J6I3YqRlOr0dhoNLYabUC4PGFxXux5pGWDkpj8Knv6B9kr2OrdR3Hnsft0BtuuifvFHs051PJspi5gU37mb9PssjDNL5994ZE
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=Evaluating+decision-making+units+under+uncertainty+using+fuzzy+multi-objective+nonlinear+programming&rft.jtitle=INFOR.+Information+systems+and+operational+research&rft.au=Zerafat+Angiz%2C+Madjid+Langroudi&rft.au=Nawawi%2C+Mohd+Kamal+Mohd&rft.au=Khalid%2C+Ruzelan&rft.au=Mustafa%2C+Adli&rft.date=2017-01-01&rft.issn=0315-5986&rft.eissn=1916-0615&rft.volume=55&rft.issue=1&rft.spage=1&rft.epage=15&rft_id=info:doi/10.1080%2F03155986.2016.1240944&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_03155986_2016_1240944
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0315-5986&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0315-5986&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0315-5986&client=summon