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.
Fuzzy probability space entropy fuzzy dynamical systems m-equivalence m-refinement fuzzy m-generator
Journal Section | Articles |
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Authors | |
Publication Date | April 1, 2012 |
Published in Issue | Year 2012 Volume: 9 Issue: 2 |