基于犹豫模糊定向距离的多属性决策方法

Multi-Attribute Decision-Making Method Based on Hesitant Fuzzy Directional Distance Measures

犹豫模糊集的提出为多属性决策问题提供了有效解决途径,其距离测度是关键指标。为充分考量决策者在评估时的犹豫程度,本文针对犹豫模糊元中元素之间隶属度差异和元素个数定义了一种新的犹豫度,并提出了一种基于犹豫模糊定向距离的决策方法。首先,针对现有距离测度的不足,提出了含有新犹豫度的犹豫模糊定向距离测度,以充分利用原始数据信息来进行评估。其次,基于该距离测度给出了一种属性权重完全未知的数学规划模型以得出属性权重,并构建了相应的多属性决策模型。最后,以齿轮箱供应商决策问题为例,验证了本文方法的合理性和有效性。

Hesitant fuzzy sets provide an effective means to deal with the multi-attribute decision making problems,and their distance measure is an important indicator.In order to fully consider the degree of indecision of decision makers in their assessments,a new type hesitancy index based on the difference of membership degree between elements and the number of elements in a hesitant fuzzy element is defined,and a directional distance measure-based approach for the hesitant fuzzy multiple attribute decision making is proposed.First,to overcome the shortcomings of the current distance measures of hesitant fuzzy sets,the hesitant fuzzy directional distance measures with a new type hesitancy index are proposed,which makes full use of the original data information for evaluation in multi-attribute decision making.Then,based on the hesitant fuzzy directional distance measures,a mathematical model is given to determine the attribute weights,and the corresponding multi-attribute decision model is constructed.Finally,the validity and rationality of the proposed method are illustrated through a case study on gearbox supplier selection.