Abstract
We use the concepts of the quasicoincident relation to introduce and investigate some lower separation axioms such as , , , and as well as the regularity axioms and . Further we study some of their properties and the relations among them in the general framework of fuzzy topological spaces.
Highlights
The fundamental concept of a fuzzy set was introduced by Zadeh in 1965, [1]
We introduce the notions of some lower separation axioms such as the αT0, αT1, αT1/2, and αT2 axioms
Suppose that xt, yr be a pair of fuzzy points in X with (x =/ y) and Clα(xt) =/ Clα(yr)
Summary
The fundamental concept of a fuzzy set was introduced by Zadeh in 1965, [1]. Subsequently, in 1968, Chang [2] introduced fuzzy topological spaces (in short, fts). Suppose that xt, yr be a pair of fuzzy points in X with (x =/ y) and Clα(xt) =/ Clα(yr).
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