Bipolar neutrosophic soft generalized pre-closed sets and pre-open sets in topological space

Abstract

Neutrosophy is one of the widely used tool to deal with uncertainty. In recent years, neutrosophic sets were applied in the field of topology. There are numerous types of neutrosophic topological spaces based on different kinds of neutrosophic sets are proposed by research community. Bipolar neutrosophic set and their topological spaces were proposed and analyzed by many researchers. In this paper, the generalization of bipolar neutrosophic soft set and their classifications are proposed. A bipolar neutrosophic soft generalized pre-closed sets and bipolar neutrosophic soft generalized pre-open sets are proposed along with their properties. Then, bipolar neutrosophic soft topology concepts are generalized to the proposed sets. Also, the relation between proposed sets and various conventional sets are discussed through theorems with examples.

Keywords

• bipolar neutrosophic soft set
• bngs-topology
• bngpcs
• bngpos
• pre-closed set
• pre-open set