On pairwise fuzzy almost gp-spaces

In this paper, the concept of pairwise fuzzy almost GP-spaces is introduced by means of pairwise fuzzy dense and pairwise fuzzy Gδ-sets . It is shown that the pairwise fuzzy almost GP-spaces are pairwise fuzzy irresolvable spaces and pairwise fuzzy submaximal spaces are pairwise fuzzy almost GP-spaces. Also it is established that the pairwise fuzzy strongly irresolvable and pairwise fuzzy nodec spaces are pairwise fuzzy almost GP-spaces. The conditions for the fuzzy bitopological spaces to become pairwise fuzzy σ-second category spaces and pairwise fuzzy weakly Volterra spaces are also obtained.

An Absolutely New Attempt to Vague Soft Bitopological Spaces Basis at Newly Defined Operations regarding Vague Soft Points

In this study, new operations of union, intersection, and complement are defined with the help of vague soft sets in a new way that is in both true and false statements, union is defined with maximum, and intersection is defined with minimum. On the basis of these operations, vague soft topology is defined. Pairwise vague soft open sets and pairwise vague soft closed sets are defined in vague soft bitopological structures (VSBTS). Moreover, generalized vague soft open sets are introduced in VSBTS concerning soft points of the space. On the basis of generalized vague soft open sets, separation axioms are also introduced. In continuation, these separations axioms are engaged with other important results in VSBTS.

Z Open Sets and Maps in Nano Bitopological Spaces

In this paper, nano (Ji, Jj )Z open sets, nano (Ji, Jj )Z interior and nano (Ji, Jj )Z closure are introduced in nano (Ji, Jj ) bitopological spaces. Moreover, nano (Ji, Jj )Z-σk continuous functions in nano (Ji, Jj ) bitopological spaces are introduced and some of their characteristics are derived.

Intuitionistic Fuzzy Supra Bitopological Spaces

In this paper we will introduce the concept of intuitionistic fuzzy supra bitopological spaces and study the fundamental properties of intuitionistic fuzzy supra bitopological spaces. Also introduce intuitionistic fuzzy supra bi-continuous functions in intuitionistic fuzzy supra bitopological spaces. Moreover introduce the concept of intuitionistic fuzzy supra pairwise separation axioms namely intuitionistic fuzzy supra pairwise Ti where i 2 f0; 1; 2; 3; 4g of intuitionistic fuzzy supra bitopological spaces.

A View on Connectedness and Compactness in Fuzzy Soft Bitopological Spaces

In the present paper, we introduce the notions of (1, 2)∗-fuzzy soft b-separated sets, (1, 2)∗-fuzzy soft b-connectedness and (1, 2)∗-fuzzy soft b-compactness in fuzzy soft bitopological spaces. Then, some basic topological properties of these notions are investigated. Also, some illustrative examples are given to show the importance of the obtained theorems.

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

In this paper, we first define soft u-open sets and soft s-open as two new classes of soft sets on soft bitopological spaces. We show that the class of soft p-open sets lies strictly between these classes, and we give several sufficient conditions for the equivalence between soft p-open sets and each of the soft u-open sets and soft s-open sets, respectively. In addition to these, we introduce the soft u-ω-open, soft p-ω-open, and soft s-ω-open sets as three new classes of soft sets in soft bitopological spaces, which contain soft u-open sets, soft p-open sets, and soft s-open sets, respectively. Via soft u-open sets, we define two notions of Lindelöfeness in SBTSs. We discuss the relationship between these two notions, and we characterize them via other types of soft sets. We define several types of soft local countability in soft bitopological spaces. We discuss relationships between them, and via some of them, we give two results related to the discrete soft topological space. According to our new concepts, the study deals with the correspondence between soft bitopological spaces and their generated bitopological spaces.