\(m\)-equivalence, entropy and \(F\)-dynamical systems

DOI10.1016/S0165-0114(00)00017-8zbMath0982.37006OpenAlexW168055850MaRDI QIDQ5947577

Yogesh K. Srivastava, Mona Khare, Pramila Srivastava

Publication date: 20 February 2002

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(00)00017-8

zbMATH Keywords

entropyatom\(F\)-dynamical system\(F\)-probability measure space\(m\)-equivalence\(m\)-isomorphism\(m\)-refinement

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Topological dynamics (37B99) Entropy and other invariants (28D20) Fuzzy measure theory (28E10) Ergodic theory (37A99)

Related Items (14)

Logical entropy of dynamical systems -- a general model ⋮ The fuzzy analogies of some ergodic theorems ⋮ Atoms and Dobrakov submeasures in effect algebras ⋮ Tsallis entropy of fuzzy dynamical systems ⋮ Unnamed Item ⋮ Pseudo-atoms, atoms and a Jordan type decomposition in effect algebras ⋮ Rényi entropy of fuzzy dynamical systems ⋮ Weakly tight functions, their Jordan type decomposition and total variation in effect algebras ⋮ Conditional entropy and the Rokhlin metric on an orthomodular lattice with bayessian state ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Kullback-Leibler divergence and mutual information of experiments in the fuzzy case ⋮ Birkhoff's individual ergodic theorem and maximal ergodic theorem for fuzzy dynamical systems ⋮ Fuzzy \(\sigma\)-algebras and conditional entropy

Cites Work

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• Additive fuzzy measures and integrals. I
• Probability of fuzzy events defined as denumerable additivity measure
• Fuzzy \(\sigma\)-algebras and fuzzy measurable functions
• The entropy of fuzzy dynamical systems and generators
• Fuzzy measures and the entropy of fuzzy partitions
• A fuzzy measure algebra as a metric space

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