On sequential entropy of fuzzy systems

Shannon entropy is an important tool in the study of information theory. A new fuzzy entropy was introduced by Dumitrescu [5, 6] in the context of fuzzy sets or messages. From the perspective of the fuzzy version, this paper defines the conditional fuzzy entropy of a sequence of fuzzy process, and s...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2018-01, Vol.34 (3), p.2021-2029
Main Authors: Zhao, Yun, Cheng, Wen-Chiao, Ho, Chih-Chang
Format: Article
Language:English
Subjects:
Entropy
Entropy (Information theory)
Fuzzy sets
Fuzzy systems
Information theory
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Summary:Shannon entropy is an important tool in the study of information theory. A new fuzzy entropy was introduced by Dumitrescu [5, 6] in the context of fuzzy sets or messages. From the perspective of the fuzzy version, this paper defines the conditional fuzzy entropy of a sequence of fuzzy process, and studies the commutativity behavior of sequential fuzzy entropy in the fuzzy process. Moreover, the commutativity behavior of functions and invariant measures is discussed in those different fuzzy processes. However, our demonstration needs more techniques of topological dynamics and fuzzy analysis.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-17793