Entropy of fuzzy dynamical systems

DOI10.1016/0165-0114(94)00245-3zbMath0876.28029OpenAlexW1967925168MaRDI QIDQ1914473

Yanyan Li

Publication date: 15 August 1996

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(94)00245-3

zbMATH Keywords

entropyfuzzy dynamical systemsfuzzy partitionsfuzzy ergodic theoryfuzzy measure-preserving transformations

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Measures of information, entropy (94A17) Fuzzy measure theory (28E10) Communication theory (94A05)

Related Items (26)

Logical entropy of dynamical systems -- a general model ⋮ On the topological entropy on the space of fuzzy numbers ⋮ The fuzzy analogies of some ergodic theorems ⋮ Tsallis entropy of fuzzy dynamical systems ⋮ The topology and dynamics of the hyperspaces of normal fuzzy sets and their inverse limit spaces ⋮ A note on entropy of finitely ergodic compact topological dynamical systems ⋮ A local approach to g-entropy ⋮ Dynamics and topological entropy for Zadeh's extension of a compact system ⋮ Logical entropy of dynamical systems ⋮ Rényi entropy of fuzzy dynamical systems ⋮ Logical entropy of dynamical systems in product MV-algebras and general scheme ⋮ SOME FORMULAE TO CALCULATE THE ENTROPIES OF THE IMAGE FUZZY SETS ⋮ The entropy change of fuzzy numbers with arithmetic operations ⋮ Conditional fuzzy entropy of maps in fuzzy systems ⋮ On fuzzy entropy and topological entropy of fuzzy extensions of dynamical systems ⋮ Unnamed Item ⋮ On the entropy of dynamical systems in product MV algebras ⋮ Kullback-Leibler divergence and mutual information of experiments in the fuzzy case ⋮ Conditional fuzzy entropy of fuzzy dynamical systems ⋮ Birkhoff's individual ergodic theorem and maximal ergodic theorem for fuzzy dynamical systems ⋮ Recurrent Points of Fuzzy Dynamical Systems ⋮ The entropy of fuzzy dynamical systems, general scheme and generators ⋮ Generators of fuzzy dynamical systems ⋮ On Hudetz entropy localization ⋮ Entropy variation on the fuzzy numbers with arithmetic operations ⋮ On local entropy of fuzzy partitions

Cites Work

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• Additive fuzzy measures and integrals. I
• Fuzzy partitions with the connectives \(T_ \infty{},S_ \infty\)
• Fuzzy measures and the entropy of fuzzy partitions
• Entropy of a fuzzy process
• Fuzzy conditional logic
• Bernoulli shifts with the same entropy are isomorphic
• Ergodic Theory, Randomness, and "Chaos"

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