TY  - JOUR
TT  - The Notion of Topological Entropy in Fuzzy Metric Spaces
AU  - Karami, Mehdi
AU  - Molaei, Mohammad Reza
PY  - 2012
DA  - April
JF  - Cankaya University Journal of Science and Engineering
JO  - CUJSE
PB  - Cankaya University
WT  - DergiPark
SN  - 2564-7954
VL  - 9
IS  - 2
KW  - Fuzzy entropy
KW  - fuzzy metric space
KW  - semicompact
KW  - fuzzy semicompact
N2  - 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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UR  - https://dergipark.org.tr/en/pub/cankujse/article/369116
L1  - https://dergipark.org.tr/en/download/article-file/387707
ER  -