A Novel Approach to Neutrosophic Hypersoft Graphs with Properties

Abstract

Neutrosophic hypersoft set is the combination of neutrosophic set and hypersoft set. It resolves the limitations of intuitionistic fuzzy sets and soft sets for the consideration of the degree of indeterminacy and multi-argument approximate function respectively. In this research article, a novel framework i.e. neutrosophic hypersoft graph, is formulated for handling neutrosophic hypersoft information by combining the concept of neutrosophic hypersoft sets with graph theory. Firstly, some of essential and fundamental notions of neutrosophic hypersoft graph are characterized with the help of numerical examples and graphical representation. Secondly, some set theoretic operations i.e. union, intersection and complement, are investigated with illustrative examples and pictorial depiction.

Keywords

• neutrosophic set
• soft set
• hypersoft set
• neutrosophic soft graph
• neutrosophic hypersoft graph