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1.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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