Soft Sets and Soft Topological Spaces via its Applications

Mareay, Roshdey; Ali, Manal; Medhat, Tamer

doi:10.21608/kjis.2022.246103

Soft Sets and Soft Topological Spaces via its Applications

Document Type : Original Article

Authors

¹ Department of Mathematics, Faculty of Science, Kafrelsheikh University,Kafrelsheikh, Egypt

² Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, 33516, Egypt.

³ Department of Electrical Engineering, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, 33516, Egypt.

10.21608/kjis.2022.246103

Abstract

The soft set is used in a variety of disciplines. It is a tool for handling ambiguous, uncertain, and indeterminate data. Numerous academics have introduced and researched the notion of soft sets in several domains, including game theory, operation research, probability, and decision-making. The concepts of soft sets and soft topological spaces are introduced in this study. This article introduces the definitions of the soft topology and discusses its foundations and associated characteristics. Examples from the real-world have been provided to assist explain some of the traits of this field. These methods have shown to be quite beneficial in many applications.

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