Abstract

In this paper, the concepts of resolvability of fuzzy bitopological spaces have been studied in detail.

Highlights

  • In 1965, L.A.Zadeh [10] introduced the concept of fuzzy set, to accommodate real life situations by giving partial membership to each element of a situation under consideration

  • The usual notion of set topology was generalized with the introduction of fuzzy topology by C.L.Chang [2] in 1968, based on the concept of fuzzy sets invented by Zadeh

  • Since much attention has been paid to generalize the basic concepts of general topology in fuzzy setting and a modern theory of fuzzy topology has been developed

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Summary

Introduction

In 1965, L.A.Zadeh [10] introduced the concept of fuzzy set, to accommodate real life situations by giving partial membership to each element of a situation under consideration. The usual notion of set topology was generalized with the introduction of fuzzy topology by C.L.Chang [2] in 1968, based on the concept of fuzzy sets invented by Zadeh. The paper of Chang paved the way for the subsequent tremendous growth of the numerous fuzzy topological concepts. Since much attention has been paid to generalize the basic concepts of general topology in fuzzy setting and a modern theory of fuzzy topology has been developed. In 1989, A.Kandil [5] introduced the concept of fuzzy bitopological spaces. The concepts of resolvability of fuzzy bitopological spaces have been studied extensively

Preliminaries
Pairwise fuzzy resolvable spaces
Characterizations of pairwise fuzzy resolvable spaces
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