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The Notion of Topological Entropy in Fuzzy Metric Spaces

Journal Name:

  • Çankaya University Journal of Science and Engineering

Publication Year:

  • 2012

Key Words:

Keywords (Original Language):

Author NameUniversity of Author
Abstract (2. Language): 
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.
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Abstract (Original Language): 
Bu makalenin amacı, bir bulanık metrik uzayının dönüşüm fonksiyonu tarafından türetilen bulanık yarıdinamik sistemler idn topolojik entropi kavramını genişletmektir. Eger bir metrik uzayının iki düzgün denk metriği varsa o halde bulanık entropi bu iki metriğe baglı bir degismezdir. Rasgele büyüklükte bulanık entropili kaotik bulanık yarıdinamik sistemlerin insası idn bir metot sunuyoruz. Ayrıca, bulanık entropinin bulanık düzgün topolojik denklik bagıntısı altında kalıcı oldugunu ispatlıyoruz.
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  • 2
107-116
  • English

REFERENCES

References: 

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