Fuzzy Ideal Topological Spaces Research Articles

Fuzzy (Almost, δ) Ideal Continuous Mappings

In this paper, we introduce the concept of fuzzy δ-ideal continuous, fuzzy θ-ideal continuous, fuzzy strongly δ-ideal continuous and fuzzy almost ideal continuous mappings in fuzzy ideal topological spaces given the definition of Sostak. In addition, we study some properties between them.

Onintuitionistic fuzzy-I-open sets, intuitionistic fuzzy semi-I-open sets and a decomposition of intuitionistic fuzzy-I-continuity

In this paper, we introduce a new class of intuitionistic fuzzy ideal open sets in intuitionistic fuzzy ideal topological spaces; intuitionistic fuzzy-I-open set and intuitionistic fuzzy semi-I-open set and given a decomposition of fuzzy continuity.

Fuzzy δ∗-almost continuous and fuzzy δ∗-continuous functions in mixed fuzzy ideal topological spaces

In this paper we introduce two new classes of functions between mixed fuzzy topological spaces, namely fuzzy δ∗-almost continuous and fuzzy δ∗-continuous functions and investigate some of their properties. The description of these two types of functions facilitated by the introduction of generalized open sets, called fuzzy δ-preopen sets, fuzzy δ-precluster point, fuzzy preopen sets, fuzzy δ-pre-q-neighbourhoods.

Separation axioms on fuzzy ideal topological spaces in 𝑺 ̆ ostak‘s sense

Separation axioms on fuzzy ideal topological spaces in 𝑺 ̆ ostak‘s sense

Fuzzy 𝛿-𝐼-continuity in mixed fuzzy ideal topological spaces

Abstract The aim of this paper is to introduce a new concept of fuzzy δ-I-continuity between mixed fuzzy ideal topological spaces and investigate some properties of this mapping.

Fuzzy Idealization on \(gb\)-Continuity

In this work, we introduce the notions of \(\emph{fgb}\)-\(I\)-closed sets, \(\emph{fgb}\)-\(I\)-continuous, \(\emph{fgb}\)-\(I\)-irresolute, \(\emph{fgb}\)-\(I\)-open functions and \(\emph{fgb}\)\(^*\)-\(I\)-open functions in fuzzy ideal topological spaces and investigate some of their characterizations and properties.

Mixed fuzzy ideal topological spaces

The aim of this paper is to introduce a new concept of mixed fuzzy ideal topological spaces and investigate some properties of this space.

-Fuzzy Extremally Disconnected Ideal Topological Spaces

The notion of ★-Externally disconnected fuzzy ideal topological spaces is introduced and studied. Many characterizations of the space are obtained.

On fuzzy α-I-continuous and fuzzy α-I-open functions

Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum particle physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of fuzzy α-I-continuity and fuzzy α-I-openness in fuzzy ideal topological spaces, and obtain several characterizations and some properties of these functions. Also, we investigate their relationship with other types of functions.