Title
Generalized score functions on interval-valued intuitionistic fuzzy sets with preference parameters for different types of decision makers and their application.
Abstract
In this paper, the interval-valued intuitionistic fuzzy sets (IVIFSs) are studied from the viewpoint of the decision makers’ preference. Firstly, two series of principles are proposed to guide the ranking of interval-valued intuitionistic fuzzy numbers (IVIFNs), and two kinds of illustrative generalized score functions on IVIFSs are proposed according to the newly proposed principles. Secondly, two kinds of generalized score functions on IVIFSs are proposed based on decision-makers’ preference. The two generalized score functions are both of two parameters, which represent the decision makers’ attitudinal characters on the classical score values and the classical accuracy values on IVIFNs, respectively. Thirdly, two kinds of generalized score functions on IVIFSs, which are suitable for ranking IVIFNs when there is no information about the importance weights of the classical score values and accuracy values on IVIFNs, are proposed based on integral. Fourthly, three kinds of multi-criteria decision-making (MCDM) methods in interval-valued intuitionistic fuzzy setting are proposed. Finally, an example shows that when a novel generalized score function on IVIFSs is proposed, its suitable application environments should also be pointed out.
Year
DOI
Venue
2018
10.1007/s10489-018-1184-4
Appl. Intell.
Keywords
Field
DocType
Interval-valued intuitionistic fuzzy sets,Generalized score function,Integral function,Preference parameters,Multi-criteria decision making
Multiple-criteria decision analysis,Ranking,Computer science,Fuzzy logic,Fuzzy set,Artificial intelligence,Fuzzy number,Score,Machine learning
Journal
Volume
Issue
ISSN
48
11
0924-669X
Citations 
PageRank 
References 
0
0.34
17
Authors
5
Name
Order
Citations
PageRank
Fangwei Zhang1157.07
Jihong Chen243.08
Yuhua Zhu3204.64
Ziyi Zhuang400.34
Jiaru Li571.49