Abstract
In this paper, we further discuss soft compactness and soft separation axioms in the soft topological space over the rough soft formal context T = (G;M;R; F). We define the compact soft topological space , give soft separation axioms of soft rough topological space and study their relationship in the soft topological space over the rough soft formal context.
Highlights
Topology Euler, M can be formally defined as the study of qualitative properties of certain objects that are invariant under a certain kind of transformation
Topology has been become one of the great unifying ideas of mathematics, and topology can be applied to many field, for example, when the fundamental concept of a fuzzy set was introduced by Zadeh in 1965 L, Chang C introduced fuzzy topological spaces in
3 The soft compact topological space and soft topological separate axioms In the following, we study based on the rough soft formal context T (G, M, R, F) in which G is an initial universe set M is a set of attributes, (G, M ) be a soft topological space over T set, and (F, B) is a soft set over T
Summary
Topology Euler , M can be formally defined as the study of qualitative properties of certain objects (called topological spaces) that are invariant under a certain kind of transformation (called a continuous map). Definition 3.5 Let (G, , M ) be a soft topological space over G , is the collection soft open sets over G , and x, y G and x y , if there exist soft neighborhood (F1, M ) of x and soft neighborhood (F2 , M ) of y such that y (F1, M ) , that is , for any x y G , there exist the soft open sets (F1, M ) , (F2 , M ) , such that x (F1, M ), y (F1, M ) and y (F2, M ), x (F2, M ) , soft topological space (G, , M ) over G is called a soft rough T1 -space.
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