给出属性优先序的模糊多属性决策方法

Fuzzy multiple attribute decision making method with priority order of attribute

研究属性值为模糊变量,已知属性优先序信息的模糊多属性决策问题。基于模糊变量的期望值、模糊变量之间的距离等概念,建立以极大化属性值的离差为目标的模糊期望值模型来确定各属性的权重;基于期望值算子,计算出各方案的期望效用值,从而获得各方案的排序;通过数值算例说明所提出方法的有效性。

This paper investigates a fuzzy multiple attribute decision making problem, whose attribute values are fuzzy variables and have the priority order of attributes. Based on the definition of the expected value and distance between two fuzzy variables, a fuzzy expected value model with maximum of the deviation of the attribute values is established, and the attribute weights are derived by solving this model. Based on the expected value operator, the expected utility values of the alternatives are calculated for ranking all alternatives. A numerical example shows the effectiveness of the proposed method.