@article{article_369116, title={The Notion of Topological Entropy in Fuzzy Metric Spaces}, journal={Cankaya University Journal of Science and Engineering}, volume={9}, year={2012}, url={https://izlik.org/JA62EU67CH}, author={Karami, Mehdi and Molaei, Mohammad Reza}, keywords={Fuzzy entropy,fuzzy metric space,semicompact,fuzzy semicompact}, abstract={<p style="text-align: justify; ">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. <br> </p>}, number={2}