On topological structures of fuzzy parametrized soft sets

In this paper, we introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated basic properties of it. We study the closure, interior, base, continuity and compactness and properties of these concepts in fuzzy parametrized soft topological space

A unified theory for weak separation properties

We devise a framework which leads to the formulation of a unified theory of normality (regularity), semi-normality (semi-regularity), s-normality (s-regularity), feebly-normality (feebly-regularity), pre-normality (pre-regularity), and others. Certain aspects of theory are given by unified proof

On Continuity of Soft Mappings

In this paper, we give some new characterizations of soft continuity, soft openness and soft closedness of soft mappings. We study restriction of a soft mapping and generalize the pasting lemma to the soft topological spaces. We also investigate the behavior of soft separation axioms under the soft continuous, open and closed mappings