COMPARATIVE ANALYSIS OF FUZZY VALUE SIMILARITY MEASUREMENTS

ROHIT KUMAR VERMA; M. BHAGYA LAXMI

doi:10.59367/p2k7p981

Authors

ROHIT KUMAR VERMA Associate Professor, Department of Mathematics, Bharti Vishwavidyalaya, Durg, C.G., India
M. BHAGYA LAXMI Research Scholar Ph.D. Department of Mathematics, Bharti Vishwavidyalaya, Durg, C.G., India

DOI:

https://doi.org/10.59367/p2k7p981

Abstract

In this work, we looked into how entropy and similarity measurements relate to fuzzy sets. We noted that the fuzzy entropy is equal to the separation between the fuzzy set and the corresponding crisp set. We also use illustrative examples to demonstrate and discuss the properties of the fuzzy values and similarity measure. it is demonstrated that some features hold for some measures but not for others, and that some properties are shared by all measures. Last but not least, we developed a measure of similarity from and demonstrated using a straightforward example that the maximum similarity measure can be attained using a minimum entropy formulation.

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