On the $g$-entropy and its Hudetz correction

Beloslav Riečan

Displaying similar documents to “On the $g$ -entropy and its Hudetz correction”

Entropy of $T$ -sums and $T$ -products of $L$ - $R$ fuzzy numbers

Anna Kolesárová, Doretta Vivona (2001)

Kybernetika

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In the paper the entropy of $L$ – $R$ fuzzy numbers is studied. It is shown that for a given norm function, the computation of the entropy of $L$ – $R$ fuzzy numbers reduces to using a simple formula which depends only on the spreads and shape functions of incoming numbers. In detail the entropy of $T_{M}$ –sums and $T_{M}$ –products of $L$ – $R$ fuzzy numbers is investigated. It is shown that the resulting entropy can be computed only by means of the entropy of incoming fuzzy numbers or by means of their parameters...

On the entropy and generators of dynamical systems

Beloslav Riečan (1996)

Applications of Mathematics

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Recently D. Dumitrescu ([4], [5]) introduced a new kind of entropy of dynamical systems using fuzzy partitions ([1], [6]) instead of usual partitions (see also [7], [11], [12]). In this article a representation theorem is proved expressing the entropy of the dynamical system by the entropy of a generating partition.