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Kullback-Leibler divergence and mutual information of partitions in product MV algebras
Názov Kullback-Leibler divergence and mutual information of partitions in product MV algebras Aut.údaje Dagmar Markechová, Beloslav Riečan Autor Markechová Dagmar (50%)
Spoluautori Riečan Beloslav 1936-2018 (50%)
Zdroj.dok. Basel : MDPI, 2017 Entropy. 267 Kľúč.slová intuitionistic fuzzy sets dynamické systémy - dynamical systems entropy MV-algebry Kullback-Leiblerova divergencia - Kullback-Leibler divergence Jazyk dok. angličtina Krajina Švajčiarsko Systematika 51 Anotácia 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. URL http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS&DestLinkType=FullRecord&UT=WOS:000404454500030 Kategória publikačnej činnosti ADC Číslo archívnej kópie 39971 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ 
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