The concept of a (δ, β)-irresolute function in topological spaces is introduced and studied. Some of their characteristic properties are considered. We also investigate the relationships between these classes of functions and other classes of non-continuous functions. AMS subject classifications: 54C10, 54D10

This paper deals with a new class of sets namely, Tc fuzzy sets in fuzzy topological spaces (via)  sets. Some characterizations and properties of these sets are investigated. Further, we introduce the concept of Tc fuzzy continuous and Tc fuzzy irresolute mappings.

Using the idea of ic-open sets, we introduce and investigate topological qualities an ic-closure, ic-interior, ic-limit points, ic-derived, ic-border, ic-frontier, ic-exterior a set. Introduce concepts "ic-continuous mappings," "ic-open "ic-irresolute "ic-totally continuous "ic-homeomorphism," then look into some properties these mappings

the notion of generalized locally bounded $i$-topological vectorspaces is introduced. some of their important properties arestudied. the relationship between this kind of spaces and thelocally bounded $i$-topological vector spaces introduced by wu andfang [boundedness and locally bounded fuzzy topological vectorspaces, fuzzy math. 5 (4) (1985) 87$-$94] is discussed. moreover, wealso use the fam...

In this paper, we have some characterizations of fuzzy semi-irresolute and strongly irresolute functions.

We axiomatically characterize the class of pairwise irresolute social choice functions that are group-strategyproof according to Kelly’s preference extension. The class is narrow but contains a number of appealing Condorcet extensions such as the minimal covering set and the bipartisan set, thereby answering a question raised independently by Barberà (1977a) and Kelly (1977). These functions fu...