Fuzzy topologies based on fuzzy relations

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Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

Faculty of Mathematics and Computer Sciences Department of Mathematics - Option : Algebra and Discrete Mathematics

Abstract

In this memoir, we have studied a special type of fuzzy topological spaces, which is the fuzzy topologies based on fuzzy relations with their fundamental properties. Also, we have proved that the family of fuzzy open sets in this topology forms the lattice structure.

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Keywords

Fuzzy set , Topology, Topology based on relation, Lattice.

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