ENTROPY AND m-ISOMORPHIC FUZZY DYNAMICALSYSTEMS

One of the important concepts in physics and mathematics is entropy. The present paper deals with the theory of entropy of fuzzy dynamical systems using the concept of atoms in a fuzzy - algebra. In this paper, the method of computing the entropy of a fuzzy sub- -algebra with nite atoms is extended to a sub- -algebra having countable atoms. Then the ergodic properties of fuzzyprobability dynamical systems is investigated. It is shown that entropy of a fuzzy dynamical system with respect to each m-equivalence class is an m-isomorphism invariant

Keywords:

Fuzzy probability measure space , Fuzzy dynamical system , Atom , Entropy , m-Equivalence , m-Refinement , m-Isomorphism