In this paper, some fuzzy modifications of the Kolmogorov-Sinaj entropy are studied. We introduce the general scheme which includes the mentioned entropies. Finally, the Kolmogorov-Sinaj theorem on generators is proved for special cases.
Generators of fuzzy dynamical systems
✍ Scribed by D. Dumitrescu; Corina Hăloiu; Adina Dumitrescu
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 393 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0165-0114
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✦ Synopsis
In some previous papers (Dumitrescu, 1983(Dumitrescu, , 1993(Dumitrescu, , 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
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