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Updated: Apr 27, 2026

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
Published on: March 1, 2022
Similarity measure and entropy of fuzzy soft sets
Zhicai Liu1, Keyun Qin2, Zheng Pei3
1College of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610031, China ; Center for Radio Administration and Technology Development, Xihua University, Chengdu, Sichuan 610039, China.
Abstract:
Soft set theory, proposed by Molodtsov, has been regarded as an effective mathematical tool to deal with uncertainties. Recently, uncertainty measures of soft sets and fuzzy soft sets have gained attentions from researchers. This paper is devoted to the study of uncertainty measures of fuzzy soft sets. The axioms for similarity measure and entropy are proposed. A new category of similarity measures and entropies is presented based on fuzzy equivalence. Our approach is general in the sense that by using different fuzzy equivalences one gets different similarity measures and entropies. The relationships among these measures and the other proposals in the literatures are analyzed.
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