cujse Cankaya University Journal of Science and Engineering 2564-7954 Cankaya University Engineering Mühendislik The Notion of Topological Entropy in Fuzzy Metric Spaces Karami Mehdi Molaei Mohammad Reza 04 01 2012 9 2 11 01 2012 Copyright © 2009, Cankaya University Journal of Science and Engineering 2009 Cankaya University Journal of Science and Engineering

The aim of this paper is to extend the notion of topological entropy for fuzzysemidynamical systems created by a self-map on a fuzzy metric space. We show that if ametric space has two uniformly equivalent metrics, then fuzzy entropy is a constant up tothese two metrics. We present a method to construct chaotic fuzzy semidynamical systemswith arbitrary large fuzzy entropy. We also prove that fuzzy entropy is a persistent objectunder a fuzzy uniformly topological equivalent relation.

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