Počet záznamov: 1
Kullback-Leibler divergence and mutual information of partitions in product MV algebras
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$a 10.3390/e19060267 $2 DOI 100 $a 20170811a2017 101 0-
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$a Kullback-Leibler divergence and mutual information of partitions in product MV algebras $f Dagmar Markechová, Beloslav Riečan 330 $a 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. 463 -1
$1 011 $a 1099-4300 $1 210 $a Basel $c MDPI $d 2017 $1 200 1 $a Entropy $v 267 606 0-
$3 umb_un_auth*0114048 $a intuitionistic fuzzy sets 606 0-
$3 umb_un_auth*0036830 $a dynamické systémy $X dynamical systems 606 0-
$3 umb_un_auth*0106715 $a entropy 606 0-
$3 umb_un_auth*0091712 $a MV-algebry 606 0-
$3 umb_un_auth*0261572 $a Kullback-Leiblerova divergencia $X Kullback-Leibler divergence 615 $n 51 $a Matematika 675 $a 51 700 -1
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Počet záznamov: 1