Continuity on r-near topological spaces

Abstract

In 2020, r-near topological spaces on Near Approximation Spaces were introduced by Atmaca [1]. In this study, we introduce the concept of continuity on r-near topological spaces and examine some properties of it.

On Some New Types of Fuzzy Soft Compact Spaces

“…Ten, (1) f T is called a null (resp universal) FS-set, symbolized by 􏽥 0 T (resp. 􏽥 [22][23][24]). An FS-pointx z α over X is an FSset over X defned by,…”

“…Moreover, every non-nullFS-setf T can be expressed as the union of all the FS points belonging to f T . Defnition 5 (see [9,22]). A triplet (X, ϑ, T) is FSTS, where ϑ is a family of FS sets on X which satisfes the following conditions:…”

“…(2) ϑ is closed under arbitrary union and fnite intersection Defnition 6 (see [22,24,25]). Te FS sets f T and g T are called quasi-coincident, symbolized by f T qg T if there exist t ∈ T, x ∈ X such that, f(t)(x) + g(t)(x) > 1.…”