Abstract
In this paper, the concepts of pairwise fuzzy semi-Baire bitopological spaces are introduced and characterizations of pairwise fuzzy semi-Baire bitopological spaces are studied
Highlights
The concept of fuzzy sets and fuzzy set operations were first introduced by L.A.Zadeh in his classical paper [13] in the year 1965
[8] A fuzzy set λ in a fuzzy bitopological space (X, T1, T2) is called a pairwise fuzzy semi-dense set if sclT1sclT2(λ) = sclT2sclT1(λ) = 1
Proposition 3.4 If λ is a pairwise fuzzy semi-nowhere dense set in a fuzzy bitopological space (X, T1, T2), 1 − λ is a pairwise fuzzy semi-dense set in (X, T1, T2)
Summary
The concept of fuzzy sets and fuzzy set operations were first introduced by L.A.Zadeh in his classical paper [13] in the year 1965. Thereafter the paper of C.L.Chang [3] in 1968 paved the way for the subsequent tremendous growth of the numerous fuzzy topological concepts. In 1989, A.Kandil [4] introduced the concept of fuzzy bitopological spaces. Levine [5] introduced the concepts of semi-open sets and semicontinuous mappings in topological spaces. The concept of Baire spaces in fuzzy setting was introduced and studied by G.Thangaraj and S.Anjalmose in [7]. The concept of pairwise Baire spaces have been studied by the authors in [1]. The concepts of pairwise fuzzy semi-Baire spaces are introduced and characterizations of pairwise fuzzy semi-Baire spaces are studied
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