Decomposition of soft continuity via soft locally b-closed set

Naime Demirtaş,Zehra Güzel Ergül

doi:10.31801/cfsuasmas.527107

Abstract

In this paper, we introduce soft locally b-closed sets in soft topological spaces which are defined over an initial universe with a fixed set of parameters and study some of their properties. We investigate their relationships with different types of subsets of soft topological spaces with the help of counterexamples. Also, the concept of soft locally b-continuous functions is presented. Finally, a decomposition of soft continuity is obtained.

Highlights

Molodtsov [18, 19] initiated and applied soft set theory, while modelling the problems in the ...eld of science including engineering physics, computer science, economics, social sciences and medical sciences, to deal with uncertain data and not clear objects without complete information
We investigate their relationships with di¤erent types of subsets of soft topological spaces with the help of counterexamples
We have introduced soft locally b-closed sets in soft topological spaces which are de...ned over an initial universe with a ...xed set of parameters and we have studied some of their properties

Summary

Introduction

Molodtsov [18, 19] initiated and applied soft set theory, while modelling the problems in the ...eld of science including engineering physics, computer science, economics, social sciences and medical sciences, to deal with uncertain data and not clear objects without complete information. In [20], Shabir and Naz introduced the primary concepts of soft topological spaces. Aygünog1⁄4lu and Aygün [7], Hussain and Ahmad [11], Yuksel et al [23], Zorlutuna et al [24] continued to study many basic concepts and properties of soft topological spaces. Kharal and Ahmad [13] and Zorlutuna et al [24] discussed the mappings of soft classes and their properties in soft topological spaces. We introduce soft locally b-closed set in soft topological spaces which are de...ned over an initial universe with a ...xed set of parameters. Soft topological space, soft locally b-closed set, soft locally b-continuous function. C 2020 Ankara University C om munications Faculty of Sciences U niversity of A nkara-Series A 1 M athem atics and Statistics

Preliminaries

Soft Locally b-Closed Sets

Decompositions of Soft Continuity

Conclusion