Journal
FUZZY SETS AND SYSTEMS
Volume 138, Issue 1, Pages 197-204Publisher
ELSEVIER
DOI: 10.1016/S0165-0114(02)00442-6
Keywords
approximation space; fuzzy approximation operator; topology; fuzzy topology; fuzzy automaton; fuzzy subsystem; strong fuzzy subsystem
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The fuzzy approximation operator associated with an approximation space (X, R) turns out to be a (saturated) Kuratowski fuzzy closure operator on X precisely when the relation R on X is reflexive and transitive. It is shown that all the level topologies of the fuzzy topology so obtained on X coincide. These observations are then applied to fuzzy automata. (C) 2002 Elsevier B.V. All rights reserved.
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