On relationships among fuzzy approximation operators, fuzzy topology, and fuzzy automata.
type: Item
instance of: scholarly article
title: On relationships among fuzzy approximation operators, fuzzy topology, and fuzzy automata.
zbMATH Open document ID: 1043.54004
DOI: 10.1016/S0165-0114(02)00442-6
author: Arun K. Srivastava
author: S. P. Tiwari
published in: Fuzzy Sets and Systems
publication date: 2003-09-07T00:00:00Z
review text: \textit{P. Das} [Fuzzy Sets Syst. 105, 469--479 (1999; Zbl 0959.68071)] introduced a fuzzy topology on a state-set of a fuzzy finite state machine and showed that fuzzy systems (in the sense of Malik and Mordeson) are precisely the closed fuzzy sets in this fuzzy topology. In the given paper the authors introduce a different fuzzy topology on the state-set of a fuzzy automaton (a concept which is a slight modification of a fuzzy finite state machine) and show that closed fuzzy sets in this fuzzy topology are precisely the strong fuzzy systems. In their work the authors essentially use the so called ``approximation operators'' on an ``approximation space'' -- concepts which are also used in the study of rough sets.
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 03D99
zbMATH DE Number: 1975918
zbMATH Keywords: fuzzy topology
zbMATH Keywords: fuzzy automaton
zbMATH Keywords: fuzzy subsystem
zbMATH Keywords: strong fuzzy subsystem
zbMATH Keywords: fuzzy approximation automaton
reviewed by: Alexander Šostak
MaRDI profile type: Publication
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full work available at URL: s0165-0114(02)00442-6
OpenAlex ID: W1975547429
description: scientific article; zbMATH DE number 1975918