FUZZY SEMI α-IRRESOLUTE FUNCTIONS 1. Introduction The fuzzy
... introduced and developed by Chang [4] and since then various notions in classical topology have been extended to fuzzy topological spaces. The concept of semi αirresolute functions was introduced in [8]. In this paper we introduce and study several interesting properties of the fuzzy version of semi ...
... introduced and developed by Chang [4] and since then various notions in classical topology have been extended to fuzzy topological spaces. The concept of semi αirresolute functions was introduced in [8]. In this paper we introduce and study several interesting properties of the fuzzy version of semi ...
On the forms of continuity for fuzzy functions
... Proof. Let µ be any fuzzy open set in Y . Since Y is fuzzy PΣ , there exists a family Ψ whose members are fuzzy regular closed set of Y such that µ = ∨{ρ : ρ ∈ Ψ}. Since f is fuzzy almost contra-β-continuous, f −1 (ρ) is fuzzy β-open in X for each ρ ∈ Ψ and f −1 (µ) is fuzzy β-open in X. Therefore, ...
... Proof. Let µ be any fuzzy open set in Y . Since Y is fuzzy PΣ , there exists a family Ψ whose members are fuzzy regular closed set of Y such that µ = ∨{ρ : ρ ∈ Ψ}. Since f is fuzzy almost contra-β-continuous, f −1 (ρ) is fuzzy β-open in X for each ρ ∈ Ψ and f −1 (µ) is fuzzy β-open in X. Therefore, ...
... present paper, we introduce and characterize the notion of fuzzy L-Hausdorff spaces which is a generlization of some fuzzy concepts by using a fuzzy L-open sets , we also define the class of fuzzy irresolute functions via fuzzy topological ideals and investigate its relation to fuzzy L-Hausdorff spa ...
Some types of fuzzy open sets in fuzzy topological groups
... and extended in a straight-forward manner some concepts of crisp topological spaces to fuzzy topological spaces. Rosenfeld [3] formulated the elements of a theory of fuzzy groups. A notion of a fuzzy topological group was proposed by foster [4].in In this paper, we introduce some types of fuzzy open ...
... and extended in a straight-forward manner some concepts of crisp topological spaces to fuzzy topological spaces. Rosenfeld [3] formulated the elements of a theory of fuzzy groups. A notion of a fuzzy topological group was proposed by foster [4].in In this paper, we introduce some types of fuzzy open ...
On Fuzzy δ-I-Open Sets and Decomposition of Fuzzy α-I
... for some x∈X will be denoted by A(x). For any two fuzzy sets A and B in (X,τ), A≤B if and only if A(x)≤B(x) for each x∈X. A fuzzy set in (X,τ) is said to be quasi-coincident with a fuzzy set B, denoted by AqB, if there exists x∈X such that A(x) + B(x) >1 [16]. A fuzzy set V in (X,τ) is called a q-ne ...
... for some x∈X will be denoted by A(x). For any two fuzzy sets A and B in (X,τ), A≤B if and only if A(x)≤B(x) for each x∈X. A fuzzy set in (X,τ) is said to be quasi-coincident with a fuzzy set B, denoted by AqB, if there exists x∈X such that A(x) + B(x) >1 [16]. A fuzzy set V in (X,τ) is called a q-ne ...
Fuzzy Irg- Continuous Mappings
... we have obtained a finite fuzzy Irg -open sub cover of A. Therefore A is fuzzy IRGO-compect relative to X. Theorem 3.9: A fuzzy Irg -continuous image of a fuzzy IRGO-compact fuzzy ideal topological space is fuzzy compact. Proof: Let f: (X, τ, I)→(Y, ) be a fuzzy Irg -continuous mapping from a fuzzy ...
... we have obtained a finite fuzzy Irg -open sub cover of A. Therefore A is fuzzy IRGO-compect relative to X. Theorem 3.9: A fuzzy Irg -continuous image of a fuzzy IRGO-compact fuzzy ideal topological space is fuzzy compact. Proof: Let f: (X, τ, I)→(Y, ) be a fuzzy Irg -continuous mapping from a fuzzy ...
maximal fuzzy topologies
... a fuzzy set A of (X,T) is said to be "compact" <£> each filter basis B such that every finite intersection of members of B is quasi-coincident with A, (AA) A A ^ 0, \ £ B. To distinguish from the above compactness notion let us denote this by "compact*". In a similar manner one can also define "Lind ...
... a fuzzy set A of (X,T) is said to be "compact" <£> each filter basis B such that every finite intersection of members of B is quasi-coincident with A, (AA) A A ^ 0, \ £ B. To distinguish from the above compactness notion let us denote this by "compact*". In a similar manner one can also define "Lind ...
