广义语言值二元组偏好关系的综合评价模型

A Comprehensive Evaluation Model of Generalized Linguistic-valued 2-tuple Preference Relations

为了处理语言值综合评价问题,提出了一种广义语言值二元组偏好关系的综合评价模型.首先,将评价者给出的目标集中各属性的语言值评价信息转换成犹豫模糊语言术语集(hesitant fuzzy language terminology set,HFLTS),并利用梯形模糊隶属函数将得到的HFLTS转化成语言值二元组,减少信息损失.其次,提出广义偏好矩阵来表示各属性之间的偏好程度,进而对各属性的偏好程度进行聚合,得到广义偏好聚合矩阵,降低人的主观意识对评价的影响,有利于保证评价结果的准确性.最后,将广义偏好聚合矩阵的各目标的偏好程度聚合,得到各目标的偏好聚合数并排序.以对车辆进行综合评价为例,并通过实验对比说明该综合评价模型的可行性.

In order to deal with the linguistic-valued comprehensive evaluation problems,a comprehensive evaluation model of generalized linguistic-valued 2-tuple preference relations was proposed.Firstly,the linguistic-valued assessments of attributes elicited by evaluators were transformed into hesitant fuzzy linguistic term set(HFLTS),and then the HFLTS would be transformed into linguistic 2-tuple values through the trapezoidal fuzzy membership function which can reduce the loss of information.Secondly,the generalized preference matrix was proposed to express the degree of preference between the attributes,and then the degree of preference between the attributes would be aggregated to obtain the generalized preference aggregation matrix which could reduce the influence of people′s subjective consciousness in the evaluation and ensure the accuracy of the evaluation result.Finally,the preference of each objective would be aggregated to get the preference aggregation number and all the preference aggregation numbers would be ordered.A comprehensive evaluation of the vehicle and an experiment comparative were given to illustrate that the proposed approach was practicable.