Paper Info
Title
A Complete Ranking Method For Interval-Valued Intuitionistic Fuzzy Numbers And Its Applications To Multicriteria Decision Making
Abstract
In this study, a complete ranking method for interval-valued intuitionistic fuzzy numbers (IVIFNs) is introduced by using a score function and three types of entropy functions. This work is motivated by the work of Lakshmana Gomathi Nayagam et al. (Soft Comput 21, 7077-7082, 2017) in which a novel non-hesitant score function for the theory of interval-valued intuitionistic fuzzy sets was introduced. The authors claimed that the proposed non-hesitant score function could overcome the shortcomings of some familiar methods. By using some examples, they pointed out that the non-hesitant score function is better compared with Sahin's and Zhang et al.'s approaches. It is pointed out that although in some specific cases, the cited method overcomes the shortcomings of several of the existing methods mentioned, it also created new defects that can be solved by other methods. The main aim of this study is to give a complete ranking method for IVIFNs which can rank any two arbitrary IVIFNs. At last, two examples to demonstrate the effectiveness of the proposed method are provided.
Year
DOI
Venue
2021
10.1007/s00500-020-05324-6
SOFT COMPUTING
Keywords
DocType
Volume
Interval-valued intuitionistic fuzzy numbers, Entropy function, Score function
Journal
25
Issue
ISSN
Citations 
3
1432-7643
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Weiwei Huang100.34
Fangwei Zhang2157.07
Shihe Xu330.78