摘要
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.
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, muhiplicative 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.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
2007年第2期27-35,91,共10页
Systems Engineering-Theory & Practice
基金
国家杰出青年科学基金(70525002)
国家自然科学基金(70371050)
教育部高等学校优秀青年教师教学科研奖励计划(教人司[2002]123)
教育部高等学校博士学科点专项科研基金(20040145018)
关键词
群决策
判断矩阵
专家评判水平
因子分析
排序
group decision-making
judgment matrices
assessment level of expert
factor analysis
ranking
