Fuzzy $m$-structures $m$-open multifunctions and bitopological spaces

Binod Chandra Tripathy,Shyamal Debnath

doi:10.5269/bspm.v37i4.35152

Binod Chandra Tripathy, Shyamal Debnath

Open Access

https://doi.org/10.5269/bspm.v37i4.35152

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Abstract

In this paper we study different weak forms of open multifunctionsfrom a fuzzy topological space into a fuzzy $m$-space. Further we study the same from a fuzzy bitopological space into a fuzzy bitopological spaces.

Highlights

Let (X, τ ) be a fuzzy topological space and A be a fuzzy subset of X
In a fuzzy topological space (X, τ ) a fuzzy point xp is called a fuzzy θ-cluster point of a fuzzy set A if cl(V )qA holds for every open Q-neighbourhood V of xp
The union of all fuzzy θ-cluster points of A is called a fuzzy θ-closure of A, written as Clθ(A) and A is called fuzzy θ-closed if A = Clθ(A)

Summary

Introduction

Let (X, τ ) be a fuzzy topological space and A be a fuzzy subset of X. In a fuzzy topological space (X, τ ) a fuzzy point xp is called a fuzzy θ-cluster point of a fuzzy set A if cl(V )qA holds for every open Q-neighbourhood V of xp (one may refer to Mukharjee and Sinha [13]).

Results

Conclusion