Rough set theory is a powerful mathematical tool for dealing with inexact, uncertain or vague information. The core concept of rough set theory are information systems and approximation operators of approximation spaces. In this paper, we study the relationships between mset relations and mset topology. Moreover, this paper concerns generalized mset approximation spaces via topological methods ...

in this paper, we introduce the notions of product vague graph, balanced product vague graph, irregularity and total irregularity of any irregular vague graphs and some results are presented. also, density and balanced irregular vague graphs are discussed and some of their properties are established. finally we give an application of vague digraphs.

Little is understood about generalized and non-generalized social anxiety disorder (SAD) and their associations with co-occurring internalizing and externalizing problems in adolescence. In the present study, we investigated adolescent boys with SAD symptoms and considered depressive symptoms as well as antisocial behaviors when looking for patterns during two developmental time periods; junior...