Annals of Communications in Mathematics

ABSTRACT.In this paper we introduce and study fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta \) and \( \delta p \))-open sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-closed sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-connectedness between fuzzy sets, fuzzy quasi \( e \) (resp. \( e^{*}, \alpha, \beta, \delta s \) and \( \delta p \))-separated sets in fuzzy bitopological spaces.

AbstractThe main goal of this paper is to introduce another local function to give the possibility of obtaining a Kuratowski closure operator. On the other hand, e⋆-local functions defined for ideal topological spaces have not been found in the current literature. e⋆-local functions for the ideal topological spaces have been described within this work. Moreover, with the help of e⋆-local functions Kuratowski closure operators cl∗e⋆ I and τ ∗e⋆ topology are obtained. Many theorems in the literature have been revised according to the definition of e⋆-local functions