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Title: The Lattice of Intuitionistic Fuzzy Topologies Generated by Intuitionistic Fuzzy Relations.
Authors: Soheyb, Milles
Keywords: Atanassov’s intuitionistic fuzzy set
Lattice of topologies
Issue Date: 2020
Publisher: Applications and Applied Mathematics: An International Journal
Abstract: We generalize the notion of fuzzy topology generated by fuzzy relation given by Mishra and Srivastava to the setting of intuitionistic fuzzy sets. Some fundamental properties and necessary examples are given. More specifically, we provide the lattice structure to a family of intuitionistic fuzzy topologies generated by intuitionistic fuzzy relations. To that end, we study necessary structural characteristics such as distributivity, modularity and complementary of this lattice.
ISSN: 1932-9466
Appears in Collections:Department of Maths - قسم الرياضيات

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