Separation Axioms in Intuitionistic Fuzzy Topological Spaces

Abstract

In this paper we have studied separation axioms T i , i = 0, 1, 2 in an intuitionistic fuzzy topological space introduced by Coker. We also show the existence of functors B : IF-Top → BF-Top and D : BF-Top → IF-Top and observe that D is left adjoint to B. Proposition 22. Let (X, τ 1 , τ 2 ) be a BFTS andProof. Clearly members of τ τ1,τ2 are intuitionistic fuzzy sets, and 0 ∼ and 1 ∼ belong to it. Now let ( . Thus (X, τ τ1,τ2 ) is an IFTS. Now let U ∈ τ 1 then (U, φ) ∈ τ τ1,τ2 . Therefore τ 1 ⊆ (τ τ1,τ2 ) 1 . Conversely let U ∈ (τ τ1,τ2 ) 1 then ∃V ∈ I X such that (U, V ) ∈ τ τ1,τ2 ⇒ U ∈ τ 1 , so (τ τ1,τ2 ) 1 ⊆ τ 1 . Thus (τ τ1,τ2 ) 1 = τ 1 . Similarly we can show that (τ τ1,τ2 ) 2 = τ 2 .The IFTS (X, τ τ1,τ2

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A Certain Class of t-Intuitionistic Fuzzy Subgroups

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Level Separation on Intuitionistic Fuzzy T1 Spaces

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