Affiliations: [a] Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
| [b] Department of Mathematics, Yazd University Yazd, Iran
Correspondence:
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Corresponding author. Muhammad Akram, Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan. E-mail: [email protected].
Abstract: A q-rung orthopair fuzzy model is a powerful framework for illustrating uncertainty and vagueness. This model is more practical, flexible and appropriate as compared to fuzzy, intuitionistic fuzzy and Pythagorean fuzzy models. Directed hypergraphs are utilized to execute higher-order relationships in communications and social webbing. In this research study, we design a new framework for manipulating q-rung orthopair fuzzy data by means of combinative theory of q-rung orthopair fuzzy sets and directed hypergraphs. We introduce certain new concepts, including q-rung orthopair fuzzy directed hypergraphs, dual directed hypergraphs, line graphs and coloring of q-rung orthopair fuzzy directed hypergraphs. Further, we implement some interesting concepts of q-rung orthopair fuzzy directed hypergraphs to real life problems.
