Paper Info
Title
Mathematical programming methods for consistency and consensus in group decision making with intuitionistic fuzzy preference relations
Abstract
In group decision making (GDM) with intuitionistic fuzzy preference relations (IFPRs), the consistency and consensus are two key issues. This paper develops a novel method for checking and improving the consistency of individual IFPRs and the consensus among experts. To measure the consistency degree of IFPRs, a consistency index is introduced and then an acceptable consistency is defined. For an IFPR with unacceptable consistency, a mathematical programming approach is developed to improve its consistency. To evaluate the consensus degree among experts, a consensus measure is presented by the proximity degree between one expert and other experts. When several individual IFPRs are unacceptable consistent or consensus is unacceptable, a goal program is built to improve the consistency and consensus simultaneously. By the consistency and proximity degrees of individual IFPRs, experts' objective weights are determined. Combining the experts' subjective weights, the experts' comprehensive weights are derived. Then, an intuitionistic fuzzy geometric weighted mean (IFGWM) operator is proposed to integrate individual IFPRs into a collective one. Moreover, an attractive property is proved that the collective IFPR is acceptable consistent if all individual IFPRs are acceptable consistent. Two examples are provided to illustrate the validity of the proposed method.
Year
DOI
Venue
2016
10.1016/j.knosys.2015.12.007
Knowledge-Based Systems
Keywords
Field
DocType
Intuitionistic fuzzy preference relation,Group decision making,Multiplicative consistency,Consensus,Mathematical programming model
Data mining,Mathematical optimization,Multiplicative consistency,Computer science,Fuzzy logic,Operator (computer programming),Artificial intelligence,Weighted arithmetic mean,Machine learning,Group decision-making
Journal
Volume
Issue
ISSN
98
C
0950-7051
Citations 
PageRank 
References 
25
0.62
35
Authors
5
Name
Order
Citations
PageRank
Gai-li Xu1834.52
Shu-Ping Wan246425.91
feng wang31968.83
Jiu-Ying Dong448327.28
Yifeng Zeng541543.27