THE ENTROPY OF FUZZY DYNAMICAL SYSTEMS WITH COUNTABLE PARTITIONS

Abstract

In this paper, the entropy of fuzzy countable partition was proposed.

In addition, the notion of fuzzy conditional entropy, fuzzy relative

entropy and entropy on fuzzy dynamical system based on fuzzy countable partition

were introduced and some properties of these entropies were analyzed.

Using the concept of fuzzy generator, It was proved that the entropy of a dynamical

system is done through a fuzzy generator. Furthermore, one of the

proven results in this paper was isomorphism invariant property of entropy

with fuzzy countable partitions on fuzzy dynamical system.