Home 9 Author: S. Murugambigai
S. Murugambigai
Open AccessArticle

Generalizations of fuzzy quasi open sets and connectedness between fuzzy sets in fuzzy bitopological spaces

Annals of Communications in Mathematics 2020

, 3 (3)

, 218-231

DOI: https://doi.org/10.62072/acm.2020.030305

AbstractIn this paper we introduce and study fuzzy quasi e (resp. e ∗, a, β, δs and δp)-open sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-closed sets, fuzzy quasi e (resp. e ∗, a, β, δs and δp)-connectedness between fuzzy sets fuzzy quasi e (resp. e ∗, a, β, δs and δp)–separated sets in fuzzy bitopological spaces.
Open AccessArticle

e⋆-local Functions and Ψe⋆ -operator in Ideal Topological Spaces

Annals of Communications in Mathematics 2024

, 7 (1)

, 1-9

DOI: https://doi.org/10.62072/acm.2024.070101

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