CN- q-ROFS: Connection number-based q-rung orthopair fuzzy set and their application to decision-making process

The aim of the paper is to introduce a novel concept of connection number-based q-rung orthopair fuzzy set (CN- q-ROFS) and thus to develop a method for solving the multiattribute group decision-making (MAGDM) problem. The q-rung orthopair fuzzy set ( q-ROFS) has outstanding characteristics to deal with the uncertain information, while the connection number resolves with the uncertainties and certainty as a three-degree system, namely identity, contrary, and discrepancy. By combining these two ideas, this paper is divided into three parts. First, the CN- q-ROFS concept is introduced and its features are read. Moreover, some operation laws are defined to combine the different elements of the proposed set. Second, a novel measure of the degree of possibility is presented to measure the degree of possibility within the given objects. Finally, a group decision-making method for solving problems with uncertain information is propagated and illustrated with a series of examples. Finally, a group decision-making method is promoted to solve the problems of uncertain information and illustrates a number of examples. The advantages, comparative as well as superiority analysis of the proposed framework are provided to confirm the approach.