Suitable interval-valued intuitionistic fuzzy topological spaces

Suitable interval-valued intuitionistic fuzzy topological spaces

In the present paper, a characterization of the intuitionistic fuzzy sets, the interval-valued intuitionistic fuzzy sets and their set-operations are given. By making use of these characterizations, the relationships between the interval-valued intuitionistic fuzzy topology and four fuzzy topologies...

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Veröffentlicht in:Journal of intelligent & fuzzy systems 2021-01, Vol.41 (1), p.879-889
Hauptverfasser: Sayed, Osama Rashed, Sayed, Nabil Hasan, Chen, Gui-Xiu
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Sprache:eng
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Fuzzy sets
Topology
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description In the present paper, a characterization of the intuitionistic fuzzy sets, the interval-valued intuitionistic fuzzy sets and their set-operations are given. By making use of these characterizations, the relationships between the interval-valued intuitionistic fuzzy topology and four fuzzy topologies associated to it are studied. For this reason, some subclasses of the family of interval-valued intuitionistic fuzzy topologies on a set which we call pre-suitable and suitable are introduced. Furthermore, the concepts of homeomorphism functions and compactness in the framework of interval-valued intuitionistic fuzzy topological spaces are introduced and studied.
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Topology
title Suitable interval-valued intuitionistic fuzzy topological spaces
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