- Cankaya University Journal of Science and Engineering
- Vol: 9 Issue: 2
- m-Generators of Fuzzy Dynamical Systems
m-Generators of Fuzzy Dynamical Systems
Authors : Mohammad Ebrahimi, Uosef Mohamadi
Pages : 0-0
View : 11 | Download : 4
Publication Date : 2012-04-01
Article Type : Research
Abstract :In this paper we prove that the entropy of a fuzzy measure preserving transformation with respect to a sub-σ-algebra having finite atoms is affine and then we extend the method of computing the entropy of a finite sub-σ-algebra to a sub-σ-algebra having countable atoms, and we investigate the ergodic properties of fuzzy probability dynamical systems. At the end by using this notion, a version of Kolmogorov-Sinai proposition [6, 9, 10] is given.Keywords : Fuzzy probability space, entropy, fuzzy dynamical systems, m-equivalence, m-refinement, fuzzy m-generator