CONVEXITY OF PARAMETRIC WEIGHTED FUZZY DIVERGENCE MEASURES

Santosh Kumari; Surender Kumar

doi:10.29121/shodhkosh.v4.i2.2023.4834

Authors

Dr. Santosh Kumari Associate Professor, Department of Mathematics, Gaur Brahman Degree College, Rohtak
Dr. Surender Kumar Assistant Professor, Department of Mathematics, Gaur Brahman Degree College, Rohtak

DOI:

https://doi.org/10.29121/shodhkosh.v4.i2.2023.4834

Keywords:

Weighted Fuzzy Divergence Measures, Csiszar’s F-Divergence, Convexity

Abstract [English]

This paper defines some weighted fuzzy parametric divergence measures such as Vs(A | | B; W) Ws(A | | B ; W) and Qs(A | | B ; W). Convexity, concavity and non-negativity of these measures are calculated by taking different values of parameters. For this we exploit Csiszar’s f-divergence and take the help of differential calculus.

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