scholarly journals Entropy, distance measure and similarity measure of fuzzy sets and their relations

1994 ◽  
Vol 62 (3) ◽  
pp. 377 ◽  
Author(s):  
Liu Xuecheng
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure ◽  
Distance Measure ◽  
Entropy Distance

scholarly journals A Dynamic Distance Measure of Picture Fuzzy Sets and Its Application

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 436
Author(s):  
Ruirui Zhao ◽  
Minxia Luo ◽  
Shenggang Li
Keyword(s):  
Fuzzy Sets ◽  
Distance Measure ◽  
Distance Measures ◽  
Numerical Comparison ◽  
Mathematical Tool ◽  
Practical Applications ◽  
Fuzzy Point ◽  
Point Operator ◽  
The Difference ◽  
Picture Fuzzy Sets

Picture fuzzy sets, which are the extension of intuitionistic fuzzy sets, can deal with inconsistent information better in practical applications. A distance measure is an important mathematical tool to calculate the difference degree between picture fuzzy sets. Although some distance measures of picture fuzzy sets have been constructed, there are some unreasonable and counterintuitive cases. The main reason is that the existing distance measures do not or seldom consider the refusal degree of picture fuzzy sets. In order to solve these unreasonable and counterintuitive cases, in this paper, we propose a dynamic distance measure of picture fuzzy sets based on a picture fuzzy point operator. Through a numerical comparison and multi-criteria decision-making problems, we show that the proposed distance measure is reasonable and effective.

Similarity measure between fuzzy sets and between elements

1994 ◽  
Vol 62 (3) ◽  
pp. 291-293 ◽  
Author(s):  
Hyung Lee-Kwang ◽  
Yoon-Seon Song ◽  
Keon-Myung Lee
Keyword(s):  
Fuzzy Sets ◽  
Similarity Measure
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