Fuzzy separation axioms and fuzzy continuity in fuzzy bitopological spaces

Abstract

Let ( X, τ 1, τ 2) be a bitopological space and ω( τ i ) ( i = 1, 2) be the set of all lower semi-continuous functions defined from X into the closed unit interval [0, 1]. In this paper we have succeeded in showing goodness of extension of separation axioms for fuzzy bitopological spaces, namely we prove the space ( X, τ 1, τ 2) is P-T i , P-T iw , P-regular, and P-normal iff the fuzzy bitopological space ( X, ω( τ 1), ω( τ 2)) is P-T i , P-T iw , P-regular and P-normal.