A fuzzy topology associated with a fuzzy finite state machine
type: Item
instance of: scholarly article
title: A fuzzy topology associated with a fuzzy finite state machine
zbMATH Open document ID: 0959.68071
DOI: 10.1016/S0165-0114(97)00236-4
author: Pratyayananda Das
published in: Fuzzy Sets and Systems
publication date: 2001-05-06T00:00:00Z
review text: The author presents some new results in theory of fuzzy automata understood as in [\textit{D. S. Malik}, \textit{J. N. Mordeson} and \textit{M. K. Sen}, ibid. 68, No. 1, 83-92 (1994; Zbl 0846.68036)]. More precisely, he defines a Lowen-type topology associated with fuzzy automata that enables characterization of separation and connectivity for them. Necessary and sufficient conditions for connectivity and sufficient conditions for separation are found. The author introduces the notion of blocks in fuzzy automata and presents some of their properties. Unfortunately, no examples are given to illustrate the results and their application.
Mathematics Subject Classification ID: 68Q45
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 1339645
zbMATH Keywords: fuzzy topology
zbMATH Keywords: fuzzy automata
zbMATH Keywords: separation
zbMATH Keywords: connectivity
reviewed by: Andrzej Świerniak
MaRDI profile type: Publication
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full work available at URL: s0165-0114(97)00236-4
OpenAlex ID: W1977766497
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description: scientific article; zbMATH DE number 1339645