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A fuzzy topology associated with a fuzzy finite state machine

✍ Scribed by Pratyayananda Das

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
553 KB
Volume
105
Category
Article
ISSN
0165-0114

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✦ Synopsis

Given a fuzzy finite state machine M = (Q, Z, y), a fuzzy closure operator is defined which induces a Lowen-type fuzzy topology z in Q. The concepts of separation of fuzzy subsystems and connectedness of fuzzy finite state machines are developed. Some results on connectedness and weak connectedness of fuzzy subsystems are obtained. Characterizations of these concepts in terms of the fuzzy topology are also obtained.

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