Abstract
In this paper, a new class of generalized soft open sets in soft topological spaces, called soft b-open sets, is introduced and studied. Then discussed the relationships among soft α-open sets, soft semi-open sets, soft pre-open sets and soft β-open sets. We also investigated the concepts of soft b-open functions and soft b-continuous functions and discussed their relations with soft continuous and other weaker forms of soft continuous functions.
Highlights
Introduction and preliminariesMolodtsov [1] initiated a novel concept of soft set theory, which is a completely new approach for modeling vagueness and uncertainty
We investigated the concepts of soft b-open functions and soft b-continuous functions and discussed their relations with soft continuous and other weaker forms of soft continuous functions
We introduce some new concepts in soft topological spaces such as soft b-open sets, soft b-closed sets, soft b-interior, soft b-closure, soft b-continuous functions, soft b-open functions and soft b-closed functions
Summary
Introduction and preliminariesMolodtsov [1] initiated a novel concept of soft set theory, which is a completely new approach for modeling vagueness and uncertainty. Theorem 2 Let ðF; AÞ be any soft set a in soft topological space X. (v) soft b-open (soft b-closed) set [12] if ðF; AÞ&e clðintðclðF; AÞÞÞðintðclðintðF; AÞÞÞ &e ðF; AÞÞ: Lemma 1 Let ðF; AÞ be a soft set in a soft topological space X. Proof (i) Let ðF; AÞ be a sp-open set in a soft topological space X.
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