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author:

Zhang, Yibin (Zhang, Yibin.) [1] | Li, Kevin W. (Li, Kevin W..) [2] | Wang, Zhou-Jing (Wang, Zhou-Jing.) [3]

Indexed by:

SSCI Scopus

Abstract:

This article proposes a goal programming framework for deriving intuitionistic fuzzy weights from intuitionistic preference relations (IPRs). A new multiplicative transitivity is put forward to define consistent IPRs. By analyzing the relationship between intuitionistic fuzzy weights and multiplicative consistency, a transformation formula is introduced to convert normalized intuitionistic fuzzy weights into multiplicative consistent IPRs. By minimizing the absolute deviation between the original judgment and the converted multiplicative consistent IPR, two linear goal programming models are developed to obtain intuitionistic fuzzy weights from IPRs for both individual and group decisions. In the context of multicriteria decision making with a hierarchical structure, a linear program is established to obtain a unified criterion weight vector, which is then used to aggregate local intuitionistic fuzzy weights into global priority weights for final alternative ranking. Two numerical examples are furnished to show the validity and applicability of the proposed models.

Keyword:

Aggregation Intuitionistic fuzzy weight Intuitionistic preference relation (IPR) Linear programming Multiplicative consistency

Community:

  • [ 1 ] [Zhang, Yibin]Shanghai Lixin Univ Commerce, Sch Business & Adm, Shanghai 201620, Peoples R China
  • [ 2 ] [Li, Kevin W.]Univ Windsor, Odette Sch Business, Windsor, ON N9B 3P4, Canada
  • [ 3 ] [Li, Kevin W.]Fuzhou Univ, Coll Econ & Management, Fuzhou 350116, Fujian, Peoples R China
  • [ 4 ] [Wang, Zhou-Jing]Zhejiang Univ Finance & Econ, Sch Informat, Hangzhou 310018, Zhejiang, Peoples R China

Reprint 's Address:

  • [Wang, Zhou-Jing]Zhejiang Univ Finance & Econ, Sch Informat, Hangzhou 310018, Zhejiang, Peoples R China

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Source :

GROUP DECISION AND NEGOTIATION

ISSN: 0926-2644

Year: 2017

Issue: 2

Volume: 26

Page: 409-436

1 . 8 6 9

JCR@2017

3 . 6 0 0

JCR@2023

ESI Discipline: ECONOMICS & BUSINESS;

ESI HC Threshold:195

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 8

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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