基于不同偏好信息的评价专家水平研究

针对不同偏好信息给出了一种分析方法.首先,给出有关效用值、序关系值、互反判断矩阵、互补判断矩阵和语言判断矩阵的定义及其相关性质;然后,通过定义不同偏好信息之间的转换公式,将不同偏好信息都转换为互补判断矩阵的偏好信息,得出各个专家的方案排序值向量,进而利用因子分析法,通过SPSS软件找出方案集相关系数矩阵的公共因子,计算出每个专家的因子得分及因子总得分.根据各个专家的因子总得分的大小,对各个专家的评价水平进行排序;最后,通过一个算例说明了本文提出的分析方法.

Study on the Assessment Level of Experts based on Difference Preference Information

It is an important research topic how to analyze the assessment level of experts in group decision analysis.In this paper,an analytic method is proposed to solve the problem for ranking of experts based on difference preference information.First,several concepts and characters of utility function,preference ordering of the alternatives,fuzzy judgment matrix,multiplicative judgment matrix and linguistic judgment matrix are introduced.Then,based on transforming formula between difference judgment matrices,difference preference information is changed fuzzy judgment matrix and alternative ranking vectors are also obtained,furthermore,factor solution to correlation matrix of alternatives,factor scores of expert and total factor score of expert are given based on factor analysis and SPSS software,a ranking approach to assessment level of experts is also obtained based on total factor score of expert.Finally,a numerical example is given to illustrate the use of the proposed approach.