On pairwise fuzzy almost gp-spaces

Thangaraj G,Roseline Gladis E

doi:10.26524/cm104

Abstract

In this paper, the concept of pairwise fuzzy almost GP-spaces is introduced by means of pairwise fuzzy dense and pairwise fuzzy Gδ-sets . It is shown that the pairwise fuzzy almost GP-spaces are pairwise fuzzy irresolvable spaces and pairwise fuzzy submaximal spaces are pairwise fuzzy almost GP-spaces. Also it is established that the pairwise fuzzy strongly irresolvable and pairwise fuzzy nodec spaces are pairwise fuzzy almost GP-spaces. The conditions for the fuzzy bitopological spaces to become pairwise fuzzy σ-second category spaces and pairwise fuzzy weakly Volterra spaces are also obtained.

Highlights

The concept of fuzzy sets as a new approach for modelling uncertainties was introduced by L.A.Zadeh [16] in his classic paper
A.Kandil [4] introduced the concept of fuzzy bitopological spaces as a generalization of fuzzy topological spaces
The concept of pairwise fuzzy almost GP-spaces is introduced by means of pairwise fuzzy dense and pairwise fuzzy Gδ-sets Several characterizations of pairwise fuzzy almost GP-spaces are obtained

Summary

Introduction

The concept of fuzzy sets as a new approach for modelling uncertainties was introduced by L.A.Zadeh [16] in his classic paper. A.Kandil [4] introduced the concept of fuzzy bitopological spaces as a generalization of fuzzy topological spaces. Several characterizations of pairwise fuzzy P-spaces are established by the authors in [6]. The concept of pairwise fuzzy almost GP-spaces is introduced by means of pairwise fuzzy dense and pairwise fuzzy Gδ-sets Several characterizations of pairwise fuzzy almost GP-spaces are obtained. The conditions for the pairwise fuzzy almost GP-spaces spaces to become pairwise fuzzy irresolvable spaces are obtained. The conditions for the fuzzy bitopological spaces to become pairwise fuzzy σ-second category spaces and pairwise fuzzy weakly Volterra spaces are established

Preliminaries

Pairwise Fuzzy Almost GP-spaces

Pairwise Fuzzy Almost GP-spaces and Other Fuzzy Bitopological Spaces

Conclusion