2011Advances in Fuzzy SystemsOpen access

On Lower Separation and Regularity Axioms in Fuzzy Topological Spaces

Amin Saif, Adem Kılıçman

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Separation axiom, Axiom, Topological space, Mathematics, T1 space, Fuzzy logic, Relation (database), Pure mathematics

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