An Extension of the CODAS Method Using p,q-Quasirung Orthopair Fuzzy Information: Application in Location Selection for Retail Store

The p , q - quasirung orthopair fuzzy sets represent an innovative advancement in fuzzy set theory, addressing the constraints inherent in q - rung orthopair fuzzy sets. This new extension has gained considerable traction in multi-criteria group decision-making (MCGDM) scenarios. The Combinative Dis...

Full description

Saved in:
Bibliographic Details
Published in:International journal of fuzzy systems Vol. 27; no. 6; pp. 1754 - 1770
Main Authors: Alballa, Tmader, Rahim, Muhammad, Aloraini, Najla M., Khalifa, Hamiden Abd El-Wahed
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2025
Springer Nature B.V
Subjects:
Artificial Intelligence
Comparative studies
Computational Intelligence
Decision making
Engineering
Flexibility
Fuzzy set theory
Fuzzy sets
Group theory
Management Science
Medical wastes
Methods
Multiple criteria decision making
Multiple criterion
Operations Research
Project evaluation
Sensitivity analysis
Site selection
Location selection for retail store
quasirung orthopair fuzzy sets
CODAS method
Decision making
ISSN:1562-2479, 2199-3211
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract The p , q - quasirung orthopair fuzzy sets represent an innovative advancement in fuzzy set theory, addressing the constraints inherent in q - rung orthopair fuzzy sets. This new extension has gained considerable traction in multi-criteria group decision-making (MCGDM) scenarios. The Combinative Distance-based Assessment (CODAS) method is designed to enhance the multi-criteria selection process by maximizing both Euclidean and Taxicab distances relative to negative ideal solutions. In the literature, different extensions are proposed. However, these extensions are unable to address situations where decision makers may employ varying term levels for membership degrees. To bridge this gap, this paper enhances the traditional CODAS method by incorporating p , q - quasirung orthopair fuzzy ( p , q - QOF) numbers to effectively solve multi-criteria group decision-making (MCGDM) problems with incomplete weight information. The proposed CODAS approach enables decision makers to set distinct term levels ( p and q ) for membership and non-membership, enhancing evaluation precision. To illustrate the application of the proposed approach, a numerical example pertaining to retail location selection is presented. The comparative study demonstrates the superiority of the proposed approach over several relevant methods. In addition, a sensitivity analysis of the proposed CODAS method, conducted by varying the criteria weights, reveals a high degree of stability in the results.
AbstractList The p , q - quasirung orthopair fuzzy sets represent an innovative advancement in fuzzy set theory, addressing the constraints inherent in q - rung orthopair fuzzy sets. This new extension has gained considerable traction in multi-criteria group decision-making (MCGDM) scenarios. The Combinative Distance-based Assessment (CODAS) method is designed to enhance the multi-criteria selection process by maximizing both Euclidean and Taxicab distances relative to negative ideal solutions. In the literature, different extensions are proposed. However, these extensions are unable to address situations where decision makers may employ varying term levels for membership degrees. To bridge this gap, this paper enhances the traditional CODAS method by incorporating p , q - quasirung orthopair fuzzy ( p , q - QOF) numbers to effectively solve multi-criteria group decision-making (MCGDM) problems with incomplete weight information. The proposed CODAS approach enables decision makers to set distinct term levels ( p and q ) for membership and non-membership, enhancing evaluation precision. To illustrate the application of the proposed approach, a numerical example pertaining to retail location selection is presented. The comparative study demonstrates the superiority of the proposed approach over several relevant methods. In addition, a sensitivity analysis of the proposed CODAS method, conducted by varying the criteria weights, reveals a high degree of stability in the results.
The p,q-quasirung orthopair fuzzy sets represent an innovative advancement in fuzzy set theory, addressing the constraints inherent in q-rung orthopair fuzzy sets. This new extension has gained considerable traction in multi-criteria group decision-making (MCGDM) scenarios. The Combinative Distance-based Assessment (CODAS) method is designed to enhance the multi-criteria selection process by maximizing both Euclidean and Taxicab distances relative to negative ideal solutions. In the literature, different extensions are proposed. However, these extensions are unable to address situations where decision makers may employ varying term levels for membership degrees. To bridge this gap, this paper enhances the traditional CODAS method by incorporating p,q-quasirung orthopair fuzzy (p,q-QOF) numbers to effectively solve multi-criteria group decision-making (MCGDM) problems with incomplete weight information. The proposed CODAS approach enables decision makers to set distinct term levels (p and q) for membership and non-membership, enhancing evaluation precision. To illustrate the application of the proposed approach, a numerical example pertaining to retail location selection is presented. The comparative study demonstrates the superiority of the proposed approach over several relevant methods. In addition, a sensitivity analysis of the proposed CODAS method, conducted by varying the criteria weights, reveals a high degree of stability in the results.
Author Alballa, Tmader
Khalifa, Hamiden Abd El-Wahed
Rahim, Muhammad
Aloraini, Najla M.
Author_xml – sequence: 1
  givenname: Tmader
  orcidid: 0000-0002-0776-2652
  surname: Alballa
  fullname: Alballa, Tmader
  organization: Department of Mathematics, College of Sciences, Princess Nourah Bint Abdulrahman University
– sequence: 2
  givenname: Muhammad
  surname: Rahim
  fullname: Rahim, Muhammad
  email: rahimkhan3032679@gmail.com
  organization: Department of Mathematics and Statistics, Hazara University
– sequence: 3
  givenname: Najla M.
  surname: Aloraini
  fullname: Aloraini, Najla M.
  organization: Department of Mathematics, College of Science, Qassim University
– sequence: 4
  givenname: Hamiden Abd El-Wahed
  surname: Khalifa
  fullname: Khalifa, Hamiden Abd El-Wahed
  organization: Department of Mathematics, College of Science, Qassim University
BookMark eNpFUMtOwzAQtBBIlNIf4GSJKwY_E4dbVFqoVFRB6TlyGocaBTu1Ewl65sMxbSUuuzO7o1ntXIBT66wG4IrgW4Jxehc4lkQgTDnCRKYYiRMwoCTLEKOEnIIBEQlFlKfZORiFYErMCE2YSNgA_OQWTr46bYNxFroadhsNx4uHfAmfdbdxFVwFY99he7NFL70KxveRLXxctcp4OO13u284s7Xzn6qLHvcwb9vGrPcEGgvn7oiXutHrPYpi-Ko7ZRq47JzXl-CsVk3Qo2MfgtV08jZ-QvPF42ycz1FLadqhhItasCyRWGcl51XGlcQsllIJRWRds4zESSW4XGPJSVnzWjGaVFiWLMGKDcH1wbf1btvr0BUfrvc2niwY5UzIlNE0qthBFVofX9f-X0Vw8Zd4cUi8iIkX-8QLwX4B0-h1pA
ContentType Journal Article
Copyright The Author(s) under exclusive licence to Taiwan Fuzzy Systems Association 2024 Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
The Author(s) under exclusive licence to Taiwan Fuzzy Systems Association 2024.
Copyright_xml – notice: The Author(s) under exclusive licence to Taiwan Fuzzy Systems Association 2024 Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
– notice: The Author(s) under exclusive licence to Taiwan Fuzzy Systems Association 2024.
DBID JQ2
DOI 10.1007/s40815-024-01870-5
DatabaseName ProQuest Computer Science Collection
DatabaseTitle ProQuest Computer Science Collection
DatabaseTitleList
ProQuest Computer Science Collection
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 2199-3211
EndPage 1770
ExternalDocumentID 10_1007_s40815_024_01870_5
GroupedDBID .4S
.DC
0R~
188
203
2UF
4.4
406
5GY
9RA
A8Z
AACDK
AAHNG
AAIAL
AAJBT
AANZL
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
ABAKF
ABBRH
ABDBE
ABDZT
ABECU
ABFSG
ABFTV
ABJCF
ABJNI
ABJOX
ABKCH
ABMQK
ABQBU
ABRTQ
ABTEG
ABTKH
ABTMW
ABXPI
ACAOD
ACDTI
ACGFS
ACHSB
ACIWK
ACKNC
ACMLO
ACOKC
ACPIV
ACSTC
ACZOJ
ADHHG
ADHIR
ADKFA
ADKNI
ADKPE
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEFQL
AEJHL
AEJRE
AEMSY
AENEX
AEOHA
AEPYU
AESKC
AEVLU
AEXYK
AEZWR
AFBBN
AFDZB
AFHIU
AFKRA
AFOHR
AFQWF
AFZKB
AGAYW
AGDGC
AGMZJ
AGQEE
AGQMX
AGRTI
AGWZB
AGYKE
AHAVH
AHBYD
AHKAY
AHPBZ
AHSBF
AHWEU
AIAKS
AIGIU
AILAN
AITGF
AIXLP
AJBLW
AJRNO
AJZVZ
ALFXC
ALMA_UNASSIGNED_HOLDINGS
AMKLP
AMXSW
AMYLF
AMYQR
ARAPS
ARCSS
ATFKH
ATHPR
AVXWI
AXYYD
AYFIA
BENPR
BGLVJ
BGNMA
CCPQU
CNMHZ
CSCUP
CVCKV
DNIVK
DPUIP
EBLON
EBS
EDO
EIOEI
EJD
ESBYG
FERAY
FIGPU
FINBP
FNLPD
FRRFC
FSGXE
GGCAI
GJIRD
HCIFZ
HG6
HRMNR
I-F
IKXTQ
IWAJR
IXD
J-C
J9A
JBSCW
JZLTJ
K7-
KOV
LLZTM
M4Y
M7S
NPVJJ
NQJWS
NU0
O9J
OK1
P2P
PHGZM
PHGZT
PQGLB
PT4
PTHSS
PUEGO
RLLFE
ROL
RSV
SHX
SISQX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
TSG
TUS
TUXDW
UG4
UOJIU
UTJUX
UZ4
UZXMN
VFIZW
ZMTXR
JQ2
ID FETCH-LOGICAL-p227t-645f539680e9b44d94a8034a8ba5a18ff391a80d548c0841bf4fa326d08b360a3
IEDL.DBID RSV
ISICitedReferencesCount 5
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001371355600001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1562-2479
IngestDate Wed Nov 05 08:28:42 EST 2025
Tue Aug 26 01:11:50 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Keywords Location selection for retail store
quasirung orthopair fuzzy sets
CODAS method
Decision making
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-p227t-645f539680e9b44d94a8034a8ba5a18ff391a80d548c0841bf4fa326d08b360a3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-0776-2652
PQID 3243587327
PQPubID 2043640
PageCount 17
ParticipantIDs proquest_journals_3243587327
springer_journals_10_1007_s40815_024_01870_5
PublicationCentury 2000
PublicationDate 20250900
20250901
PublicationDateYYYYMMDD 2025-09-01
PublicationDate_xml – month: 9
  year: 2025
  text: 20250900
PublicationDecade 2020
PublicationPlace Berlin/Heidelberg
PublicationPlace_xml – name: Berlin/Heidelberg
– name: Heidelberg
PublicationTitle International journal of fuzzy systems
PublicationTitleAbbrev Int. J. Fuzzy Syst
PublicationYear 2025
Publisher Springer Berlin Heidelberg
Springer Nature B.V
Publisher_xml – name: Springer Berlin Heidelberg
– name: Springer Nature B.V
SSID ssib031263563
ssib053833614
ssib026410675
ssj0002147029
ssib008679421
Score 2.3833094
Snippet The p , q - quasirung orthopair fuzzy sets represent an innovative advancement in fuzzy set theory, addressing the constraints inherent in q - rung orthopair...
The p,q-quasirung orthopair fuzzy sets represent an innovative advancement in fuzzy set theory, addressing the constraints inherent in q-rung orthopair fuzzy...
SourceID proquest
springer
SourceType Aggregation Database
Publisher
StartPage 1754
SubjectTerms Artificial Intelligence
Comparative studies
Computational Intelligence
Decision making
Engineering
Flexibility
Fuzzy set theory
Fuzzy sets
Group theory
Management Science
Medical wastes
Methods
Multiple criteria decision making
Multiple criterion
Operations Research
Project evaluation
Sensitivity analysis
Site selection
Title An Extension of the CODAS Method Using p,q-Quasirung Orthopair Fuzzy Information: Application in Location Selection for Retail Store
URI https://link.springer.com/article/10.1007/s40815-024-01870-5
https://www.proquest.com/docview/3243587327
Volume 27
WOSCitedRecordID wos001371355600001&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: PRVAVX
  databaseName: Springer Nature - Connect here FIRST to enable access
  customDbUrl:
  eissn: 2199-3211
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0002147029
  issn: 1562-2479
  databaseCode: RSV
  dateStart: 20150301
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELagMMDAG1Eo6AbGWkpiJ3HYqtKKAVpoAXWL8rKUJSlpiqAzP5yzSR8gFlgiy_aQXO58n-377gi5RJOJHUTG1HClpFyRuBBUm1RG0o7MSIZmJHSxCbfXE6ORd1-RwibzaPf5laReqRdkN47eS7GJVdQEahm118kGujuhzHEwfF5okUoht8LeRI-v0qQttJaZKv_KMukUWjxjlZPS67eq3GPo8ma4t7GoxV2vYtv8_hrfsOmP61Ttpbq7__u-PbJToVJofanRPllLsgOyvZKr8JB8tDLovOl49zyDXAIiR2j3r1tDuNNVqEFHH8C4-UIfpsEkLXAZgX6BQ-MgLaA7nc3eoWI_KW24gtby8hzSDG7zqj3UtXlUCyfDQAe5wrDMi-SIPHU7j-0bWpVwoGPLckvqcFvazHOEkXgh57HHA2EwfISBHZhCSuaZ2BPjvikyBDdDyWWAiDI2RMgcI2DHpJblWXJCIBIJU_CHh9LisVRnNSGLsTOU0ovspE4a89_gV3Y48REuMlu4zHLrpDkX-3J4kbNZy95H2fta9r59-rfpZ2TLUoWBdfBZg9TKYpqck83otUwnxYXWz09Ka9pV
linkProvider Springer Nature
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELagIAEDb0ShwA2MtZTETuOwVaUViD6gLYgtystSl6SkLYLO_HDOJn2AWGCJrNhDcjn7Psffd0fIJU6ZqILImBqOlJQrEReCapPKUNqhGcrADIUuNuG02-L52b3PRWGjGdt9diSpV-q52I1j9FJqYsWaQC-j9ipZ4xixFJGv23uae5FKIbek3sSIr9Kkzb2WmSr_yiLpFM54xvIgpddvVbnH0OXNcG9jUYs7bq62-f0xvmHTH8epOko1dv73frtkO0elUP1yoz2yEif7ZGspV-EB-agmUH_TfPc0gVQCIkeoda6rPWjpKtSg2QcwLL_Qh4k_GmS4jEAnw66hP8igMZlO3yFXPylvuILq4vAcBgk007zd07V5VAsHQ1eTXKE3TrP4kDw26v3aDc1LONChZTljWuG2tJlbEUbsBpxHLveFwfAS-LZvCimZa-KdCPdNoSG4GUgufUSUkSECVjF8dkQKSZrExwRCETMFf3ggLR5J9a8mYBHeDKR0QzsuktLsM3j5PBx5CBeZLRxmOUVSnpl90T3P2axt76HtPW17zz752_ALsnHTbzW95m377pRsWqpIsCailUhhnE3iM7Ievo4Ho-xc--onjs7dOQ
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV07T8MwELZ4CcHAG1EocAMjFknsNA5b1IdAQHkUEFuUl6UuSUlTBMz8cM4mTQtiQSyRZXtI7LPvc3zffYQc4ZKJG4iMqeFISbkicSGoNqmMpB2ZkQzNSGixCafbFU9P7s0Ui19Hu4-vJL84DSpLU1qcDGJ5UhHfOHoyxSxWERRocdSeJfNciQap83rvsbIolU5uismJ3l-lTKssmJkqF8skARWufsZKh6X3cqXiY2ipMzznWNTijlsyb35_jW849cfVqvZYndX_f-saWSnRKnhf5rVOZpJ0gyxP5TDcJB9eCu1XHQefpZBJQEQJzeuW14MrrU4NOioBBsfP9HYUDPs5bi9wnWPTIOjn0Bm9v79ByYpSVnIK3uRSHfopXGZluac1e1QJO8OdDn6FXpHlyRZ56LTvm2e0lHagA8tyCtrgtrSZ2xBG4oacxy4PhMHwEQZ2YAopmWtiTYznqcgQ3AwllwEizdgQIWsYAdsmc2mWJjsEIpEwBYt4KC0eS_UPJ2QxVoZSupGd1Eh9PCV-uT6HPsJIZguHWU6NHI-nYNJc5XLWY-_j2Pt67H1792_dD8niTavjX553L_bIkqW0g3V8Wp3MFfko2ScL0UvRH-YH2mw_AbvX5h0
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+Extension+of+the+CODAS+Method+Using+p%2Cq-Quasirung+Orthopair+Fuzzy+Information%3A+Application+in+Location+Selection+for+Retail+Store&rft.jtitle=International+journal+of+fuzzy+systems&rft.au=Alballa%2C+Tmader&rft.au=Rahim%2C+Muhammad&rft.au=Aloraini%2C+Najla+M.&rft.au=Khalifa%2C+Hamiden+Abd+El-Wahed&rft.date=2025-09-01&rft.pub=Springer+Berlin+Heidelberg&rft.issn=1562-2479&rft.eissn=2199-3211&rft.volume=27&rft.issue=6&rft.spage=1754&rft.epage=1770&rft_id=info:doi/10.1007%2Fs40815-024-01870-5&rft.externalDocID=10_1007_s40815_024_01870_5
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1562-2479&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1562-2479&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1562-2479&client=summon