Generalized Fuzzy Divergence Measure, Pattern Recognition, and Inequalities

Many fuzzy information and divergence measures have been developed by various researchers and authors. Here, the authors proposed a new fuzzy divergence measure using the properties of convex function and fuzzy concept. The applications of novel fuzzy divergence measures in pattern recognition with case study are discussed. They obtained various novel fuzzy information inequalities on fuzzy divergence measures. The new relations among new and existing fuzzy divergence measures by new f-divergence, Jensen inequalities, properties of convex functions, and inequalities have been studied. Finally, they verified these results and proposed fuzzy divergence measures by numerical example. Copyright © 2022, IGI Global.