Open Access
Article
The entropy of hyperfuzzy sets
- Received:
- 07 May 2017
- Accepted:
- 08 Dec 2017
- Published Online:
- 30 Oct 2018
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2018.1436270
- Pages:
- 173–185
Abstract
This paper deals with studying the entropy of dynamical systems on hyperfuzzy sets. At first we define the entropy of hyperfuzzy partitions and conditional entropy. Then, some basic properties of these notions are established. Furthermore, we introduce the notion of a dynamical systems on hyperfuzzy sets and the entropy of it. Finally, we define a generator of this dynamical system and prove Kolmogorov-Sinai’s Theorem is also true for our mentioned generator.
Keywords
Subject Classifications
54C7003E72
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