Elsevier

Fuzzy Sets and Systems

Volume 121, Issue 2, 16 July 2001, Pages 275-283
Fuzzy Sets and Systems

m-Equivalence, entropy and F-dynamical systems

https://doi.org/10.1016/S0165-0114(00)00017-8Get rights and content

Abstract

The present paper deals with the theory of entropy of F-dynamical systems using the concept of atoms in a fuzzy σ-algebra. Having introduced the notions of m-equivalence and m-refinement, it is proved that entropy of an F-dynamical system with respect to each m-equivalence class is an m-isomorphism invariant. Results proved in this paper include the corresponding classical results as particular cases.

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The author would like to thank the Council of Scientific and Industrial Research, PUSA, New Delhi (India) for financial support under Grant. No. 9/1(154)/93-EMR-I.

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