In this paper, we define a soft generalized ?-closed set, which is generalization of both the set and closed set. We show that classes sets coincide in anti-locally countable topological spaces. Additionally, locally spaces, every Furthermore, prove space (X,??,A). addition to these, determine behavior relative unions, intersections, subspaces, generated topologies. investigate images inverse u...

Several notions on soft topology are studied and their basic properties investigated by using the concept of pre open sets closure operator which derived from basics set theory established Molodtsov [1]. In this paper we introduce some separation axioms called Soft R0 R1 in topological spaces defined over an initial universe with a fixed parameters. Many characterizations these have been demons...

Molodstov introduced soft sets to deal with uncertainties and not clear objects. Researchers developed the relationship between soft sets and information systems. Fuzzification of the notions of soft sets and soft topology have been discussed in the literature. In this paper, we define and establish the topological structures of fuzzy soft semi-open sets and fuzzy soft semi-closed sets. We intr...

Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Aim of this article is to find the maximum and minimum solution of the fuzzy neutrosophic soft relational equations xA=b and Ax=b, where x and b are fuzzy neutrosophic soft vector and A is a fuzzy neutrosophic soft matrix. Wheneve...

The aim of this paper is to lay a foundation for providing a soft algebraic tool in considering many problems that contain uncertainties. In order to provide these soft algebraic structures, the notions of closed intersectional soft BCI-ideals and intersectional soft commutative BCI-ideals are introduced, and related properties are investigated. Conditions for an intersectional soft BCI-ideal t...

In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices,  topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces. Topological molecular lattices were defined by closed elements, but in this new structure we present the concept of the open elements and defi...