A decomposition of some types of mixed soft continuity in soft topological spaces

Abstract

In this paper, we study the concept of soft sets which is introduced by Molodtsov [5] and the notion of soft continuity is introduced by Zorlutuna et al. [8]. We give the definition of (τ 1 , τ 2)-semi open soft (resp. (τ 1 , τ 2)-pre open soft, (τ 1 , τ 2)-α-open soft, (τ 1 , τ 2)-β-open soft) set via two soft topologies. We introduce mixed semi-soft (resp. mixed pre-soft, mixed α-soft, mixed β-soft) continuity between two soft topological spaces (X, τ 1 , A), (X, τ 2 , A) and a soft topological space (Y, τ, B). Also we prove that a function is mixed α-soft continuous if and only if it is both mixed pre-soft continuous and mixed semisoft continuous.

On fuzzy soft b-open sets in fuzzy soft bitopological space

“…The notion of a soft bitopological space was introduced using different soft topologies on an initial universe set. On the other hand, the mixed type of soft set theory was given using different soft topologies (see, [1,2,23]).…”

On the Pasting Lemma on a Fuzzy Soft Topological Space with Mixed Structure

“…Recently, some topological notions and properties have been generalized using the mixed structure on various generalized topological spaces such as soft topological space, generalized topological space etc. (see [1,2,7,23]). One of the important topological notions is the pasting lemma for continuous functions.…”

On $$(1,2)^{*}$$-fuzzy soft b-continuity in fuzzy soft bitopological spaces

“…The notion of soft bitopological space was introduced using different soft topologies on an initial universe set. On the other hand, the mixed type of soft set theory was given using different soft topologies (see, [28], [1], [2], [18]).…”