Ordering q-rung Picture Fuzzy Numbers by Possible Grading Technique and its Utilization in Decision-Making Problem

An essential aspect in the decision-making scenario is ordering and ranking q-rung picture fuzzy data. This paper presents an approach to order the q-rung picture fuzzy numbers through possible grading procedure is presented by extending the method of possibility degree for grading intuitionistic fuzzy numbers. Significant properties of the suggested grading measurement is also analyzed. Also, q-rung picture fuzzy ordered Frank weighted arithmetic and geometric accumulation operators have been suggested together with their properties. Further, based on possible grading procedure and those two operators, we devise an algorithm to make decisions. Ultimately, a decision-making problem with several attributes is being discussed to demonstrate the significance of the suggested method. The existing and suggested accumulation operators are compared to expose the pliability and reliability of our approach.