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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。
Aiming at the problem of multi-attribute decision making with attribute weights unknown and attribute values given by trapezoidal fuzzy linguistic variables, an extended VIKOR decision-making method is proposed. Firstly, the concept and algorithm of trapezoidal fuzzy linguistic variables are introduced, and the distance formula between trapezoidal fuzzy linguistic variables is proposed and proved. Based on this, the weight of attribute index is determined by the method of maximizing dispersion, and an extended VIKOR method based on trapezoidal fuzzy linguistic variables is established. The decision steps are given. Finally, an example is given to illustrate the effectiveness of the method.