Generators of fuzzy dynamical systems

摘要

In some previous papers (Dumitrescu, 1983, 1993, 1995) an ergodic theory for fuzzy dynamical systems has been proposed. The entropy of a fuzzy dynamical system has been defined. It has proven (Dumitrescu and Barbu, 1985; Dumitrescu, 1995) that this entropy is an isomorphism invariant. In this paper we define the generators of a fuzzy dynamical system. Using this notion a fuzzy version of Kolmogorov-Sinai theorem (Kolmogorov, 1958; Sinai, 1959) is given. (C) 2000 Elsevier Science B.V. All rights reserved. References: 14