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
Bölüm | Makaleler |
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Yazarlar | |
Yayımlanma Tarihi | 1 Nisan 2012 |
Yayımlandığı Sayı | Yıl 2012 Cilt: 9 Sayı: 2 |