Title
A new definition and formula of entropy for intuitionistic fuzzy sets.
Abstract
The entropy of an intuitionistic fuzzy set (IFS) is a measure of uncertainty related to the IFS. The purpose of this paper is to develop a new axiomatical entropy for an IFS. The axioms for a new entropy of an IFS are defined and a mathematical expression/formula of the new entropy of the IFS is given. The newly defined entropy concerns both the amount of information and reliability of the IFS. It is proven that the new entropy has some remarkable and useful properties. The examples and comparison analysis show the validity and applicability of the new entropy proposed in this paper.
Year
DOI
Venue
2016
10.3233/IFS-152031
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Intuitionistic fuzzy set,entropy,information,reliability,uncertainty
Discrete mathematics,Expression (mathematics),Axiom,Fuzzy set,Information diagram,Joint entropy,Principle of maximum entropy,Mathematics
Journal
Volume
Issue
ISSN
30
6
1064-1246
Citations 
PageRank 
References 
13
0.46
14
Authors
2
Name
Order
Citations
PageRank
Yongjun Zhu1130.46
Deng-Feng Li296846.12