Two New Parametric Generalized R?Norm Fuzzy Information Measures

New parametric generalized exponential fuzzy divergence measure

The present paper introduces a parametric generalized exponential measure of fuzzy divergence of order α with the proof of its validity. A particular case of proposed fuzzy divergence measure is studied. Some properties of the new divergence measure between different fuzzy sets are proved. We establish a relation between exponential fuzzy entropy of order α and our fuzzy divergence measure. Fur...

New Generalized Parametric Measures of Entropy and Cross Entropy

The measure of entropy introduced by Shannon [12] is the key concept in the literature of information theory and has found tremendous applications in different disciplines of science and technology. The various researchers have generalized this entropy with different approaches. The object of the present manuscript is to develop a generalized measure of entropy by using the property of concavit...

Addition two generalized fuzzy numbers

Generalized fuzzy differentiability with LU-parametric representation

In the present paper, we use a new generalization of the Hukuhara di¤erence and derivative for fuzzy-valued functions, and we study several properties of the new concepts in the setting of the LU-parametric representation of fuzzy numbers, assessed both from theoretical and computational points of view.

Two fuzzy probability measures

2 Zadeh-type fuzzy probability The paper deals with two methods of a fuzzification of the Borel field of events and too the probability measure. The first approach generalizes the Zadeh definition of a crisp probability of fuzzy event. The second method is based on the Yager definition of a fuzzy probability of fuzzy event. The theoretical results obtained can be applied to modeling stochastic ...