Abstract
In this study, we present the concept of the interval-valued fuzzy soft point and then introduce the notions of its neighborhood and quasi-neighborhood in interval-valued fuzzy soft topological spaces. Separation axioms in an interval-valued fuzzy soft topology, so-called q- T i for i = 0 , 1 , 2 , 3 , 4 , are introduced, and some of their basic properties are also studied.
Highlights
In 1999, Molodtsov [1] proposed a new mathematical approach known as soft set theory for dealing with uncertainties and vagueness
Maji et al [4] initiated the research on both fuzzy set and soft set hybrid structures called fuzzy soft sets and presented a concept that was subsequently discussed by many researchers
Tanya and Kandemir [11] started topological studies of fuzzy soft sets. They used the classical concept of topology to construct a topological space over a fuzzy soft set and named it the fuzzy soft topology
Summary
In 1999, Molodtsov [1] proposed a new mathematical approach known as soft set theory for dealing with uncertainties and vagueness. Tanya and Kandemir [11] started topological studies of fuzzy soft sets They used the classical concept of topology to construct a topological space over a fuzzy soft set and named it the fuzzy soft topology. Atmaca and Zorlutuna [15] considered the concept of soft quasi-coincidence for fuzzy soft sets By applying this new concept, they studied the basic topological notions such as interior and closure for fuzzy soft sets. Mathematics 2020, 8, 178 studied some of their properties They suggested a new definition for the fuzzy soft point and different neighborhood structures.
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