A study on some operations and products of neutrosophic hypersoft graphs

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 is formulated for handling neutrosophic hypersoft information by combining the theory of neutrosophic hypersoft sets with graphs. Firstly, different types of notions, including neutrosophic hypersoft graphs, strong neutrosophic hypersoft graphs, complete neutrosophic hypersoft graphs, are characterized with the help of numerical examples and graphical representation. Secondly, some products (i.e. Cartesian product, cross product, lexicographic product, strong product) and composition of neutrosophic hypersoft graphs are discussed by employing various methods of their construction. Moreover, some of their related properties are also investigated. Lastly, an application of neutrosophic hypersoft graph is presented to decision making with the help of proposed algorithm.

Automated summary

A novel framework for handling neutrosophic hypersoft information is formulated in this research article by combining the theory of neutrosophic hypersoft sets with graphs. Different types of neutrosophic hypersoft graphs are characterized, and their products and composition are discussed with various construction methods. Furthermore, an application of neutrosophic hypersoft graph in decision making is presented with a proposed algorithm.