in this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. by using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. moreover, we investigate the ...

In this paper, selection principles are defined and studied in the realm of irresolute topological groups. Especially, s-Menger-bounded s-Rothberger-bounded type covering properties introduced studied.

In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. Also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Moreover, we investigate the ...

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 work, we introduce and study the classes of contra ΛIs-continuous, quasi-ΛIs-continuous ΛIs-irresolute functions in a topological space endowed with an ideal. We investigate relationships among these their respective characterizations. Also, analyze behavior certain notions under direct inverse images new functions.