一种基于梯形模糊语言变量的多属性决策方法

Multiple Attribute Decision Making Method Based on trapezoid Fuzzy Linguistic Variables

针对属性权重未知、属性值以梯形模糊语言变量形式给出的多属性决策问题,提出了一种扩展的VIKOR决策方法。首先介绍了梯形模糊语言变量的概念、运算法则,提出了梯形模糊语言变量值之间的距离公式,并进行了证明。在此基础上利用离差最大化方法确定了属性指标权重,并建立了基于梯形模糊语言变量的扩展VIKOR方法,给出了决策步骤。最后,通过一个算例说明该方法的有效性。

With respect to multiple attribute decision making problem with trapezoid fuzzy linguistic information,in which the attribute weights are unknown,and the attribute values take the form of trapezoid fuzzy linguistic variables,an extend VIKOR method is proposed.To begin with, the concept and the operational rules of the trapezoid fuzzy linguistic variables are introduced,and the distance between two trapezoid fuzzy linguistic variables is proposed and proved.Then,the attribute weights are calculated by the idea of maximum deviation,an extend VIKOR method is proposed to solve multiple attribute decision making problem with trapezoid fuzzy linguistic information,and decision making steps are illustrated.Finally,an illustrative example is given to verify effectiveness of the developed method.