Information Entropy, Similarity Measure and Inclusion Measure of Intuitionistic Fuzzy Sets

2012 ◽  
pp. 392-398
Author(s):  
Qiansheng Zhang ◽  
Fuchun Liu ◽  
Lihua Wu ◽  
Shihua Luo
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure ◽  
Information Entropy ◽  
Intuitionistic Fuzzy Sets ◽  
Intuitionistic Fuzzy ◽  
Inclusion Measure

MEASURING INCLUSION, SIMILARITY AND COMPATIBILITY BETWEEN ATANASSOV'S INTUITIONISTIC FUZZY SETS

2012 ◽  
Vol 20 (02) ◽  
pp. 261-280 ◽  
Author(s):  
BIN XIE ◽  
LI-WEN HAN ◽  
JU-SHENG MI
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure ◽  
Intuitionistic Fuzzy Sets ◽  
New Methods ◽  
Intuitionistic Fuzzy ◽  
Inclusion Measure ◽  
Axiomatic Definition ◽  
Definition Of ◽  
Degree Of Similarity ◽  
Atanassov’S Intuitionistic Fuzzy Sets

This paper establishes an axiomatic definition of inclusion measures between Atanassov's intuitionistic fuzzy (A-IF for short) sets. Some kinds of A-IF inclusion measures are constructed by different A-IF operators especially by A-IF implicator, and some new methods for measuring the degree of similarity between A-IF sets are proposed. Moreover, the similarity measure obtained from an A-IF inclusion measure satisfies properties of normal similarity measure. We then define a compatibility measure by a predicates logical idea and construct several functions to measure compatibility for an intuitionistic t -norm.

A novel similarity measure on intuitionistic fuzzy sets with its applications

2014 ◽  
Vol 42 (2) ◽  
pp. 252-261 ◽  
Author(s):  
Yafei Song ◽  
Xiaodan Wang ◽  
Lei Lei ◽  
Aijun Xue
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure ◽  
Intuitionistic Fuzzy Sets ◽  
Intuitionistic Fuzzy

Multi-Attribute Group Decision Making Models under Intuitionistic Fuzzy Environment

2012 ◽  
Vol 263-266 ◽  
pp. 3225-3229
Author(s):  
Rong Duan ◽  
Qing Bang Han ◽  
Zuo Wang
Keyword(s):  
Decision Making ◽  
Fuzzy Sets ◽  
Group Decision Making ◽  
Information Entropy ◽  
Group Decision ◽  
Intuitionistic Fuzzy Sets ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Environment ◽  
Decision Making Models ◽  
Evaluation Matrix

In order to solve the problem of multi-attribute group-decision making with the elements of evaluation matrix are intuitionistic fuzzy sets, this paper offers corresponding TOPSIS models based on the information entropy weights and examples to be verified. The examples show the feasibility and effectiveness of the proposed models.

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