- Published 2013

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

@inproceedings{Karami2013TheNO,
title={The Notion of Topological Entropy in Fuzzy Metric Spaces},
author={Mehdi Karami and Mohammad Reza Molaei},
year={2013}
}