Relationships between uncertainty measures, fuzziness measures and divergence measures

Generalized Measures of Fuzzy Directed-divergence, Total Ambiguity and Information Improvement

Uncertainty and fuzziness are the basic nature of human thinking and of many real world objectives. In the present communication, we have introduced two new generalized measures of fuzzy directed divergence with the proof of their validity. Further, we studied some measures of total ambiguity and new generalized measures of fuzzy information improvement. We have also discussed particular cases ...

Divergence measures and aggregation operations

A research on classification performance of fuzzy classifiers based on fuzzy set theory

Due to the complexities of objects and the vagueness of the human mind, it has attracted considerable attention from researchers studying fuzzy classification algorithms. In this paper, we propose a concept of fuzzy relative entropy to measure the divergence between two fuzzy sets. Applying fuzzy relative entropy, we prove the conclusion that patterns with high fuzziness are close to the classi...

Information Measures via Copula Functions

In applications of differential geometry to problems of parametric inference, the notion of divergence is often used to measure the separation between two parametric densities. Among them, in this paper, we will verify measures such as Kullback-Leibler information, J-divergence, Hellinger distance, -Divergence, … and so on. Properties and results related to distance between probability d...

Decision making in medical investigations using new divergence measures for intuitionistic fuzzy sets

In recent times, intuitionistic fuzzy sets introduced by Atanassov has been one of the most powerful and flexible approaches for dealing with complex and uncertain situations of real world. In particular, the concept of divergence between intuitionistic fuzzy sets is important since it has applications in various areas such as image segmentation, decision making, medical diagnosis, pattern reco...