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本文引进了群体决策问题的一个最优解概念—s~*-最优均衡解,s~*-最优均衡解可以作为群体决策问题的一种解,它的实际意义是为所有的决策者找到一个最优解。我们证明了求解s~*-最优均衡解等价于求解一个相应的单目标优化问题,且在一定条件下s~*-最优均衡解总是存在的。我们也讨论按比例分配的s~*-最优均衡解问题。本文为解决群体决策问题提供了一种新的途径。
In this paper, we introduce an optimal solution concept -s ~ * -optimal equilibrium solution for group decision-making problem. The s-* -optimal equilibrium solution can be used as a solution to group decision-making problem. Its practical significance is for all decision-makers Find an optimal solution. We show that solving s ~ * - optimal equilibrium solution is equivalent to solving a corresponding single objective optimization problem, and s ~ * - optimal equilibrium solution always exists under certain conditions. We also discuss the s ~ * - optimal equilibrium problem that is proportionately allocated. This paper provides a new way to solve the problem of group decision-making.