多元不确定性偏好信息集结的目标规划方法  

Goal programming model on multiple kinds of uncertain preference aggregation approach

作　　者：周世忠[1] 朱建军[1] 刘思峰[1] 王翯华[1] 

机构地区：[1]南京航空航天大学经济与管理学院,南京210016

出　　处：《系统工程理论与实践》2008年第3期118-124,170,共8页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(70473037;70701017);中国博士后科学研究基金(2005038575);江苏省博士后科学研究基金(苏人通[2005]255号);江苏省软科学研究项目(BR2007020)

摘　　要：研究群决策过程中区间数偏好序、区间数效用值、区间数互反判断矩阵与区间数互补判断矩阵等四类不确定性偏好信息的集结方法.定义四类不确定性偏好信息的一致性,建立具有相同决策机理的各类不确定性偏好信息的统一权重求解模型.为解决决策误导问题,引入偏差系数建立权重分布范围的估计模型.建立决策群体意见集结的目标规划方法,研究了模型所具有的性质.为度量决策群体意见的一致度,定义了专家偏好与综合偏好的决策关联度系数和排序相关性系数.The group aggregation approach of four kinds of uncertain preference information is studied which are interval preference order, interval utility value, and interval number reciprocal comparison matrix and interval number complementary comparison matrix. Firstly, the uniform weight model for each uncertain preference is proposed based on consistency definitions, which has the same decision-making mechanism. In order to solve the decision-making misleading problem, the weight distributing model is suggested according to the error factor. Then, the goal programming model is put forward to aggregate the group preference. The property of the model is proved. The relation degree index and the spearman rank correlation coefficient between the expert preference and the group are introduced to measure the group consistency degree.

关 键 词：群决策 不确定性偏好 集结方法 目标规划 

分 类 号：C943[自然科学总论—系统科学]