In this paper we study the notion of connectedness in ideal topological spaces.
It is the objective of this paper to introduce a new class of generalizations of continuous functions via λ-open sets called weakly λ-continuous functions. Moreover, we study some of its fundamental properties. It turns out that weak λ-continuity is weaker than λ-continuity .
In this paper, by using operations, some characterizations and some properties of fuzzy continuous functions and its weaker and stronger forms including fuzzy weakly continuous, fuzzy θ-continuous, fuzzy strongly θ-continuous, fuzzy almost strongly θ-continuous, fuzzy weakly θ-continuous, fuzzy almost continuous, fuzzy super continuous, fuzzy δ-continuous,… (More)
The aim of this paper is to investigate some properties of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces. Some relationships of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces are discussed. Moreover, decompositions of continuity are provided.
New characterizations of almost contra-precontinuity are presented. These characterizations are used to develop a new weak form of almost contra-precontinuity. This new weak form is then used to extend several results in the literature concerning almost contra-precontinuity.
In this paper, by using operations, some characterizations and some properties of fuzzy lower and upper continuous mul-tifunctions and its weaker and stronger forms including fuzzy lower and upper weakly continuous, fuzzy lower and upper θ-continuous, fuzzy lower and upper strongly θ-continuous, fuzzy lower and upper almost strongly θ-continuous, fuzzy… (More)