基于极大型信任结构的非确定型决策

本文所要研究的问题是,当我们对自然状态的信息只有人的主观判断,决策者如何选出最优行动方案。我们用极大型信任结构表达各种可能性分布,求解一个关于参数β的非线性规划问题得到一个OWA算子,其中β为决策者的乐观程度,然后利用OWA算子计算每一个行动方案的收益,选择收益最大的行动方案。

Decision Making under Maxitive Belief Structures Uncertainties

We are concerned here with the problem of selecting an optimal alternative in situations in which we only have possibility information about the state of the world.We show how the maxitive belief structure provides a unifying framework for representing various types of possibility uncertainties,Firstly,we solve a nonlinear mathematical programming problem with parameterβ,which is the decision attitude of decision maker,to get OWA operator,Secondly,we compute payoff of every alternative using the OWA operator,Then we select alternative which has maximum payoff as optimal alternative.