Countable and separable elementary soft topological space

Abstract

This paper is an introduction to countable and separable elementary soft topological spaces, which includes concepts such as dense soft set, first countability, second countability, separability and Lindelöf properties and some basic properties of them in the elementary soft topological spaces.

A Soft Set Approach to Relations and Its Application to Decision Making

“…After Maji et al [10] and Ali et al [11] laid the foundations of the soft set operations, different interpretations have emerged about extending mathematical structures to the soft set theory (See [12][13][14][15][16][17][18], and others in them). The soft elements and elementary (ε-) soft set operations were brought forward by Das and Samanta [19], and some mathematical structures have been examined using these concepts by several authors [20][21][22][23][24][25][26][27].…”

On elementary soft compact topological spaces

“…Also, works on fixed point theory have been ongoing over the soft sets, the soft metrics and soft cone metrics [21][22][23][24][25][26]. In recent years some authors studied on 𝜖-soft topological spaces by using elementary operations on soft sets [27][28][29][30][31].…”