Similarity Measure and Fuzzy Entropy of Fuzzy Number Intuitionistic Fuzzy Sets

2009 ◽  
pp. 373-379 ◽  
Author(s):  
Juan Li ◽  
Qi Niu ◽  
Cheng-yi Zhang
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure ◽  
Fuzzy Number ◽  
Intuitionistic Fuzzy Sets ◽  
Fuzzy Entropy ◽  
Intuitionistic Fuzzy

scholarly journals Counterintuitive Test Problems for Transformed Fuzzy Number-Based Similarity Measures between Intuitionistic Fuzzy Sets

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 612
Author(s):  
Hui-Chin Tang ◽  
Kuan-Sheng Cheng
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure ◽  
Fuzzy Number ◽  
Similarity Measures ◽  
Intuitionistic Fuzzy Sets ◽  
Test Problems ◽  
Intuitionistic Fuzzy ◽  
General Test

This paper analyzes the counterintuitive behaviors of transformed fuzzy number (FN)- based similarity measures between intuitionistic fuzzy sets (IFSs). Among these transformed FN-based similarity measures, Chen and Chang’s similarity measure (2015) is a novel one. An algorithm of computing Chen and Chang’s similarity measure is proposed. We analyze the counterintuitive behaviors of Chen and Chang’s similarity measure for seven general test problems and four test problems with three inclusive IFSs. The results indicate that there are six counterintuitive test problems for Chen and Chang’s similarity measure.

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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