scholarly journals Entropy, Similarity Measure, Inclusion Measure of Intuitionistic Fuzzy Sets and Their Relationships

2012 ◽  
Vol 5 (3) ◽  
pp. 519-529 ◽  
Author(s):  
Qiansheng Zhang ◽  
Hongyan Xing ◽  
Lihua Wu
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure ◽  
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
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