| Title of paper:
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On relationships among intuitionistic fuzzy approximation operators, intuitionistic fuzzy topology and intuitionistic fuzzy automata
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| Author(s):
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| S. P. Tiwari
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| Department of Applied Mathematics, Indian School of Mines University, Dhanbad-826 004, India
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| sptiwarimaths@gmail.com
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| Published in:
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"Notes on IFS", Volume 16 (2010) Number 1, pages 1—9
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| Download:
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 PDF (247 Kb, Info)
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| Abstract:
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This paper is a study about the relationships among topologies and intuitionistic fuzzy topology induced, respectively, by approximation operators and an intuitionistic fuzzy approximation operator associated with an approximation space (X, R), when the relation R on X is precisely reflexive and transitive. In particular, we consider an intuitionistic fuzzy approximation operator on an approximation space X (i.e., a set X with a reflexive and transitive relation on it), which turns out to be an intuitionistic fuzzy closure operator. This intuitionistic fuzzy closure operator
gives rise to two saturated fuzzy topologies on X and it turns out that all the level topologies of one of the fuzzy topology coincide and equal to the topology analogously induced on X by a crisp approximation operator. These observations are
then applied to intuitionistic fuzzy automata.
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| Keywords:
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Intuitionistic fuzzy set; Intuitionistic fuzzy approximation operator; Intuitionistic fuzzy topology; Fuzzy topology; Intuitionistic fuzzy automaton; Strong intuitionistic fuzzy subsystem.
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