属性值为区间数的决策对象预期理论模型研究

针对属性值为区间数的多属性决策中不同区间数相互比较具有相同可能度的问题进行研究。根据决策者不同的风险偏好将其分为3类，对不同风险偏好类型的决策者提出相应的预期理论模型，确定区间数之间的优势关系。在此基础之上，提出决策对象优势关系及优势度矩阵，并根据优势度数值对决策对象进行排序择优。最后，通过实例验证新排序算法的科学性与有效性。

Prospect theory model for multiple criteria decision making alternative with interval number

In view of the problem that different interval numbers have the same possibility degree values in multiple criteria decision making(MCDM) with interval numbers,the decision makers are divided into three different types according to their risk preferences,and three risk preferences assumption models corresponding to different type decision makers are proposed to determine the advantage relation for interval numbers.Then the advantage relation of the alternatives and advantage degree matrix are proposed to rank all the alternatives as well as select the best one based on the advantage degree values of the alternatives.Finally,a realistic example is used to demonstrate that the proposed ranking technology is a useful and effective tool.