A new possibility degree measure for interval-valued q-rung orthopair fuzzy sets in decision-making

As a generalization of the interval-valued intuitionistic fuzzy sets, a consciousness of interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs) is a robust and trustworthy tool to fulfill the imprecise information with an adaptation of the manageable parameter q >= 1. However, the ranking of any interval-valued numbers is very valuable for interval-valued decision-making problems. Possibility degree measure is a worthy tool to manage the degree of possibility of one object over the other. Driven by these requisite characteristics, it is fascinating to manifest the possibility degree of comparison between two IVq-ROFSs, and an innovative method is then encouraged to rank the given numbers. Few properties are checked to explain their features and exhibited the advantages of it over the existing possibility measures with some counterintuitive examples. Later on, we consider the multiattribute group decision making (MAGDM) method and embellish it with numerical examples, to rank the alternatives. Several numerical examples are implemented to test the superiority of the stated MAGDM method and to confer its more manageable and adaptable nature.