Open AccessA New Fuzzy Information Inequalities and its Applications in Establishing Relation among Fuzzy $f$-Divergence Measures
Author(s) -
Sapna Gahlot,
Ram Naresh Saraswat
Publication year - 2021
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.53.2022.3411
Subject(s) - mathematics , divergence (linguistics) , fuzzy logic , inequality , fuzzy measure theory , relation (database) , fuzzy set , fuzzy classification , artificial intelligence , mathematical economics , algebra over a field , data mining , pure mathematics , computer science , linguistics , mathematical analysis , philosophy
There are many fuzzy information and divergence measures exist in the literature of fuzzy Information Theory. Inequalities play important role for finding the relations. Here, we will introduce some new information inequalities on fuzzy measures and their applications in pattern recognition. Also established relations between new and well known fuzzy divergence measures with help of the fuzzy $f$-divergence measure and jensen’s inequality.