Bipolar Soft Topological Spaces

Asmaa Fadel, Syahida Che Dzul-Kifli

Abstract

Bipolar soft set theory is a mathematical tool associates between bipolarity and soft set theory, it is defined by two soft sets one of them gives us the positive information where the other gives us the negative. The goal of our paper is to define the bipolar soft topological space on a bipolar soft set and study its basic notions and properties. We also investigate the definitions of: bipolar soft interior, bipolar soft closure, bipolar soft exterior, bipolar soft boundary and establish some important properties on them. Some relations between them are also discussed. Moreover, the notions of bipolar soft point, bipolar soft limit point and the derived set of a bipolar soft set are discussed. In additions, examples are presented to illustrate our work.

Keywords

bipolar soft topology, bipolar soft interior, bipolar soft closure, bipolar soft exterior, bipolar soft boundary, bipolar soft point, bipolar soft limit point, derived set of a bipolar soft set.

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