Počet záznamov: 1
Kullback-Leibler divergence and mutual information of partitions in product MV algebras
- Markechová, Dagmar Kullback-Leibler divergence and mutual information of partitions in product MV algebras / Dagmar Markechová, Beloslav Riečan. -- The purpose of the paper is to introduce, using the known results concerning the entropy in product MV algebras, the concepts of mutual information and Kullback-Leibler divergence for the case of product MV algebras and examine algebraic properties of the proposed measures. In particular, a convexity of Kullback-Leibler divergence with respect to states in product MV algebras is proved, and chain rules for mutual information and Kullback-Leibler divergence are established. In addition, the data processing inequality for conditionally independent partitions in product MV algebras is proved.
In Entropy. -- Basel : MDPI, 2017. -- ISSN 1099-4300. -- 267
1. intuitionistic fuzzy sets 2. dynamické systémy 3. entropy 4. MV-algebry 5. Kullback-Leiblerova divergencia
I. Riečan, Beloslav, 1936-2018
II. Entropy. -- 267
51
BB301
Počet záznamov: 1