Group Decision-Making Approach without Weighted Aggregation Operators

Abstract EN

This paper introduces an approach for group decision-making problems (GDMP) without weighted aggregation operators.

This approach is more suitable for scenarios with infinite number of individuals.

A mathematical model approach is established based on the new concept of s⁎-optimal concession equilibrium solution without weighted aggregation operators for group decision-making problems.

It is of practical significance for all decision-makers (experts) to find an optimal solution or to sort out all the candidate solutions.

We prove that the s⁎-optimal concession equilibrium solution is equivalent to solving a single objective optimization problem, and, under certain conditions, the s⁎-optimal equilibrium solution always exists.

Moreover, it is proven that the s⁎-optimal concession equilibrium solution is equivalent to the robust optimal solution of the group weight aggregation and the optimal solution under the worst weighted aggregation operators.