Decision-making with q-rung orthopair fuzzy graph structures

The q-rung orthopair fuzzy sets being an extension of intuitionistic and Pythagorean fuzzy sets is very flexible model to express uncertain information that concerns only two attributes yes or no. In this research article, we combine the concept of graph structures with q-rung orthopair fuzzy sets, and introduce the notion of q-rung orthopair fuzzy graph structures (q-ROFGSs) that provides a broader space for membership and non-membership values. First, we define normal product of q-ROFGSs and investigate its rho(i)-regularity with several properties. Further, we discuss rho(')(i) - m-partite q-ROFGSs with different conditions to be a rho(')(i) - m-regular q-ROFGS. In addition, we present an application of m-partite q-ROFGSs in decision-making, regarding selection of best employees for sale of company products to wholesale buyers, retail buyers and online consumers.