Fuzzy topological entropy of fuzzy continuous functions on fuzzy topological spaces

被引：6

作者：

Afsan, B. M. Uzzal ^{[2
]}

Basu, C. K. ^{[1
]}

机构：

[1] W Bengal State Univ, Dept Math, Barasat 700126, W Bengal, India

[2] Sripat Singh Coll, Dept Math, Murshidabad 742123, W Bengal, India

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 12期

关键词：

Fuzzy continuous function; Fuzzy dynamical system; Fuzzy compact sets; Fuzzy topological entropy; MEASURE-THEORETIC ENTROPY; MAPS;

D O I：

10.1016/j.aml.2011.05.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new type of fuzzy topological entropy of a fuzzy continuous function psi : X -> X, where X is an arbitrary fuzzy topological space, and investigate several of its properties. We also establish that, for fuzzy compact spaces, this new concept of fuzzy topological entropy coincides with the fuzzy topological entropy of Ismail Tok (2005) [11]. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2030 / 2033

页数：4

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