A new decision-making method based on bipolar neutrosophic directed hypergraphs

Directed hypergraphs are widely used as a tool to solve and model the problems appearing in computer science and operations research. Bipolar neutrosophic models are more flexible and applicable because these models study neutrosophic behavior positively as well as negatively. In this research study, we present a new frame work for handling bipolar neutrosophic information by combining the bipolar neutrosophic sets with directed hypergraphs. We introduce certain new concepts, including bipolar neutrosophic directed hypergraphs, regular bipolar neutrosophic directed hypergraphs, homomorphism and isomorphism on bipolar neutrosophic directed hypergraphs. Further, we study some isomorphic properties of strong bipolar neutrosophic directed hypergraphs. In particular, we consider interesting applications of bipolar neutrosophic directed hypergraphs in decision-making, and we develop efficient algorithm to solve decision-making problems.

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