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Kullback-Leibler divergence and mutual information of partitions in product MV algebras
Title Kullback-Leibler divergence and mutual information of partitions in product MV algebras Author info Dagmar Markechová, Beloslav Riečan Author Markechová Dagmar (50%)
Co-authors Riečan Beloslav 1936-2018 (50%)
Source document Basel : MDPI, 2017 Entropy. 267 Keywords intuitionistic fuzzy sets dynamické systémy - dynamical systems entropy MV-algebry Kullback-Leiblerova divergencia - Kullback-Leibler divergence Language English Country Switzerland systematics 51 Annotation 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 Public work category ADC No. of Archival Copy 39971 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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