语言环境下基于证据间差异性的属性权重确定方法

Diversities of Evidences Based Methods for Determining Weights of Attributes in Linguistic Setting

研究了语言环境下多属性决策问题属性权重的确定方法。在属性值以语言评估等级及其信度分布的形式给出,属性权重完全未知或部分未知的情况下,提出了两种基于证据间差异性的客观权重确定方法,基本原理为属性的评估值差异越小,其权重越小;差异越大,其权重也越大。提出了证据冲突矩阵和证据方差并用来量化证据间差异性,进而确定权重,并进一步研究了有属性偏好情况下属性权重确定方法,最后通过具体案例验证了方法的有效性。

Weights of attributes and decision makers are of great importance for multiple criteria decision making problems and multiple criteria group decision making problems. Techniques for weights of attributes of such problems in linguistic setting are investigated. Two methods for determining objective weights based on diversities of evidences are proposed where performances of attributes take the form of basic belief assignment associated with linguistic grades, and the fundamental of which is that the smaller the diversity of evaluation of a certain attrib- ute, the smaller the weight of corresponding attribute, and vice versa. Matrices of conflicts of evidences and square deviations of evidences are introduced to quantify diversities among evidences and then weights are obtained. The method for deriving object weights is further presented when there exist preferences of attributes. An interactive method is presented to relieve the conflict between subjective preferences and objective derivation. The effectiveness of proposed methods is clarified by numerical case study and the consequent result of decision is consistent with decision .made by existing methods.