Title
A MAGDM Method Considering the Amount and Reliability Information of Interval-Valued Intuitionistic Fuzzy Sets
Abstract
Intuitionistic fuzzy sets (IFSs) and interval-valued intuitionistic fuzzy sets (IVIFSs) are flexible to deal with the vague and/or imprecise information. Thus, many multi-attribute group decision making (MAGDM) problems are modeled by IFSs or IVIFSs. The comparison of two IVIFSs is still a hot topic, and thereby this paper proposes a new ranking function of IVIFSs, which takes into the amount and the reliability information of an IVIFS and combines the advantages of TOPSIS. Based on the new ranking function, we establish an optimization model to determine the attribute weights when they are unknown and partially known. Moreover, we develop an effective method for solving MAGDM problems in which the attribute values are expressed with IVIFSs. A numerical example of supplier selection problem is examined to demonstrate applicability and feasibility of the proposed method.
Year
DOI
Venue
2017
https://doi.org/10.1007/s40815-016-0179-8
International Journal of Fuzzy Systems
Keywords
Field
DocType
Interval-valued intuitionistic fuzzy set,TOPSIS,Multi-attribute group decision making,Borda’s function,Ranking function
Mathematical optimization,Ranking,Effective method,Fuzzy set,TOPSIS,Mathematics,Group decision-making
Journal
Volume
Issue
ISSN
19
3
1562-2479
Citations 
PageRank 
References 
4
0.39
19
Authors
4
Name
Order
Citations
PageRank
Hai-Ping Ren140.39
Hai-Han Chen240.39
Wei Fei3132.93
Deng-Feng Li496846.12