Abstract

The purpose of this paper is to introduce and study the concepts of supra soft b-compact and supra soft b-Lindelˆf spaces. Also we study several of their properties and characterizations in details. Furthermore, the invariance of these kinds of spaces under some types of supra soft mappings and their hereditary properties are also investigated

Highlights

  • The concept of soft sets was first introduced by Molodtsov [23] in 1999 as a general mathematical tool for dealing with uncertain objects while modelling the problems with incomplete information in engineering, physics, computer science, economics, social sciences and medical sciences

  • Maji et al [21] applied soft sets in a multicriteria decision making problems. It is based on the notion of knowledge reduction of rough sets

  • They applied the technique of knowledge reduction to the information table induced by the soft set

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Summary

Introduction

The concept of soft sets was first introduced by Molodtsov [23] in 1999 as a general mathematical tool for dealing with uncertain objects while modelling the problems with incomplete information in engineering, physics, computer science, economics, social sciences and medical sciences. Maji et al [21] applied soft sets in a multicriteria decision making problems. It is based on the notion of knowledge reduction of rough sets. Ahmad [20] defined and discussed the several properties of soft images and soft inverse images of soft sets. They applied these notions to the problem of medical diagnosis in medical systems. We introduce the concepts of supra soft b-compact and supra soft b-Lindelof spaces Several of their properties and characterizations are studied. The behavior of these kinds of spaces under some types of supra soft mappings has obtained

Preliminaries
Supra Soft b-Compact and Supra soft b-Lindelof Spaces
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