Soft Semi # Generalized ɑ-Connectedness in Soft Topological Spaces

Abstract

Soft set theory is a newly emerging tool to deal with uncertain problems and has been studied by researchers in theory and practice. The concept of soft topological space is a very recently developed area having many research scopes. Soft sets have been studied in proximity spaces, multi-criteria decision-making problems, medical problems, mobile cloud computing networks, defense learning systems, and approximate reasoning, etc. The objective of this paper is to use Soft Semi # ga-open sets and Soft Semi #ga-closed set to introduce the concepts of Soft Semi #ga-separated sets , Soft Semi # ga-connected space, Soft Semi #ga-disconnected space, Soft Semi # ga-component of a soft set, locally Soft Semi #ga-connected space and totally Soft Semi #ga-disconnected space We investigate and study the properties and characterizations of these spaces in soft topological spaces.