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

Abstract

In this paper, we introduce (1, 2) *-fuzzy soft b-open sets and (1, 2) *-fuzzy soft b-closed sets in fuzzy soft bitopological space and exhibit the properties of (1, 2) *-fuzzy soft bopen sets. Then we discuss the relation with (1, 2) *-fuzzy soft regular-open, (1, 2) *-fuzzy soft pre-open, (1, 2) *-fuzzy soft semi-open, (1, 2) *-fuzzy soft α-open, and (1, 2) *-fuzzy soft β-open in fuzzy soft bitopological space. Also, we introduce and investigate the concepts of (1, 2) *-fuzzy soft b-interior, (1, 2) *-fuzzy soft b-closure in fuzzy soft bitopological space and analyze the relations between these concepts. Keywords: (1, 2) *-fuzzy soft b-open set, (1, 2) *-fuzzy soft b-closed set, (1, 2) *-fuzzy soft regular-open, (1, 2) *-fuzzy soft pre open, (1, 2) *-fuzzy soft semi open, (1, 2) *-fuzzy soft α-open, (1, 2) *-fuzzy soft β-open, (1, 2) *-fuzzy soft b-interior, (1, 2) *-fuzzy soft b-closure.

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

“…Definition 2.27 [25] A fuzzy soft set fE in a fuzzy soft bitopological space (X, E, τ1, τ2) is called…”

“…closure and studied some of their basic properties. Also, my works ( [25], [26], [27]) were extension and continuation of studying in this trend by character-izing a new type of fuzzy soft sets and introducing some separation axioms in fuzzy soft bitopological spaces. The purpose of this paper is to The purpose of this paper is to introduce the concepts of (1, 2) * -fuzzy soft b-continuous maps, (1, 2) * -fuzzy soft b-irresolute maps and the relations with other weak forms of fuzzy soft continuous maps in fuzzy soft bitopological spaces.…”

Some Modifications of Pairwise Soft Sets and Some of Their Related Concepts

“…As a generalization of BTSs and as an extension of STSs, SBTSs were defined and investigated in [32]. The area of research in SBTSs is still hot (see [33][34][35]). The concept of soft pairwise open (soft p-open) sets in SBTSs was defined and studied in [36].…”

On the Topology Induced by C*-Algebra-Valued Fuzzy Metric Spaces

“…Fuzzy topology plays an important role in quantum particle physics and the fuzzy topology induced by a fuzzy metric space was investigated by many authors in the literature; see for example [1][2][3][4][5][6]. In particular, George and Veeramani [7,8] studied a new notion of a fuzzy metric space using the concept of a probabilistic metric space [5].…”