in this paper the concepts of fuzzifying β − irresolute functions and fuzzifying β − compactspaces are characterized in terms of fuzzifying β − open sets and some of their properties are discussed.

In this paper a new class of sets called αδ-closed set is introduced and its properties are studied. Further the notion of Tαδ –Space and αδ–continuity, Super-αδ-continuity, αδirresoluteness, Strongly-αδ-super-irresoluteness are introduced. Further, we obtain some characterizations and some properties.

In this paper we consider new weak and strong forms of γ-irresoluteness and γ-closure via the concept of gγ-closed sets which we call ap-γ-irresolute, ap-γ-closed and contra-γ-irresolute maps. Moreover, we use ap-γ-irresolute and ap-γ-closed maps to obtain a characterization of γ − T 1 2 -spaces.

In this paper we introduce the concept of (i,j)–πgβ-closed set in intuitionistic fuzzy bitopological spaces as a generalization of πgβ-closed set in fuzzy bitopological space and study their related notions in bitopological spaces. Next, we introduce (i,j)–πgβopen sets in intuitionistic fuzzy bitopological spaces, and investigate some of their basic properties. Using these concepts, the charact...

We revisit the incompatibility of anonymity and neutrality in single-valued social choice. first analyze irresoluteness outlook these two axioms together with Pareto efficiency impose on choice rules deliver a method to refine irresolute without violating anonymity, neutrality, efficiency. Next, we propose weakening called consequential that requires resolute assign each alternative same number...

The aim of this paper is to introduce and obtain some characterizations of weakly $e$-irresolute functions by means of $e$-open sets defined by Ekici [6]. Also, we look into further properties relationships between weak $e$-irresoluteness and separation axioms and completely $e$-closed graphs.