A New Approach for Payoffs Distribution Based on Borda-MULTIMOORA Method Under q-Rung Interval-Valued Orthopair Fuzzy Environment

How to reasonably distribute the final payoffs to each enterprise alliance participating in cooperation is one of the hottest issues in cooperative game problems. Notably, existing scholarly investigations addressing such problems often overlook the disparate contributions made by individual players to the alliance, opting instead to assign same distribution weights to all participants. Obviously, it is inconsistent with the realistic cooperative game scenario and may cause inequitable payoffs distribution in the cooperative game. In this paper, we proposed a novel combination approach aimed at obtaining the value of payoffs distribution that aligns more closely with actual circumstances. Firstly, we obtain the initial Shapley values of cooperative game alliances and construct the weighted normalized aggregated q-rung interval-valued orthopair fuzzy decision matrix. Subsequently, the Borda-MULTIMOORA method is employed to calculate correction coefficients that can reflect the enterprises’ contributions to the alliance within the cooperative game, thereby enhancing the fairness of the allocation process. Ultimately, the availability and superiority of proposed payoffs distribution model is verified by a numerical example of three new energy sharing electric vehicle companies.