A Novel Approach for Pairwise Separation Axioms on Bi-Soft Topology Using Neutrosophic Sets and An Output Validation in Real Life Application

Abstract

The set that lightens the vagueness stage more energetically than fuzzy sets are neutrosophic sets. Bi-soft topological space is a space which goes for two different topologies with certain parameters. This work carries out, construction of such type of topology on neutrosophic. Besides by means of this, separation axioms are extended to pairwise separation axioms by using neutrosophic and to analyze the relationship among the class of such spaces. Here some of their properties are discussed with illustrative examples. In addition to it, we initiate the matrix form of neutrosophic soft sets in such space. Here problems deal to take a decision in life by the choice of two different groups. The aim of this decision making problem is to determine the unique thing or person from the universe by giving marks depending on parameters. Step by step process of solving the problem is explained in algorithm, also formulae given to determine their values with illustrative examples.

Keywords

• neutrosophic sets (nss); neutrosophic soft sets (nsss); neutrosophic soft topological spaces (nstss); neutrosophic soft ti0
• 1
• 2
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• 4 -spaces (ns ti0
• 4 -spaces); neutrosophic bitopological spaces (nbtss); neutrosophic bi-soft topological spaces (nbstss); pairwise neutrosophic soft ti0
• 4 -spaces (pairwise ns ti0
• 4 -spaces); decision making (dm).