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群决策中两类不确定偏好信息的集结方法研究
引用本文:朱建军. 群决策中两类不确定偏好信息的集结方法研究[J]. 控制与决策, 2006, 21(8): 889-892
作者姓名:朱建军
作者单位:南京航空航天大学,经济与管理学院,南京,210016
基金项目:中国博士后科学研究基金项目(2005038575);江苏省博士后科学研究基金项目(苏人通[2005]255号).
摘    要:研究区间数互反判断矩阵和区间数互补判断矩阵的集结,采用UOWA算子将决策者的偏好信息集结为区间数互反判断矩阵和互补判断矩阵两种形式,结合决策者给出的允许偏差,定义群满意度隶属函数,建立求解群偏好一致程度最大化的权重模型.为解决模型存在多组最优解问题,在第2阶段建立群偏好权重分布范围估计模型,研究模型所具有的性质,最后通过区间数比较的可能度方法排定各方案的最终优劣顺序。

关 键 词:群决策  不确定偏好  集结  模糊规划
文章编号:1001-0920(2006)08-889-04
收稿时间:2005-06-06
修稿时间:2005-06-062005-10-17

Group Aggregation Approach of Two Kinds of Uncertain Preference Information
ZHU Jian-jun. Group Aggregation Approach of Two Kinds of Uncertain Preference Information[J]. Control and Decision, 2006, 21(8): 889-892
Authors:ZHU Jian-jun
Abstract:The group aggregation approach of interval number reciprocal comparison matrix and interval number complementary comparison matrix is studied.First,the uncertain ordered weighted averaging(UOWA) is used to aggregate the decision-maker's different preference information into the interval number comparison matrix.Then,the group's overall satisfaction membership function is defined based on the decision-making's allowable error.The maximal group consistency weight model is established.At the second stage,a weight distributing region model is developed to solve the multi-optimization solution problem in the former model.The properties of these models are studied.Finally,based on the possibility degree,the group's weights are ranked to obtain the ultimate order.
Keywords:Group decision making   Uncertain preference   Aggregation   Fuzzy programming
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