摘要
从模糊模式识别概念出发 ,以群决策成员的经验、偏好为监督 ,建立一种全体决策成员对所有方案集的全体级别加权广义欧氏权距离平方和最小为目标函数的非线性规划模型。利用该模型可以在确定目标指标和决策人权重的同时确定决策方案相对优属度。
Integratingalldecisionmakers′preferencesinto the optimal pattern,a novel approach is proposedtoestablishthegroupdecision makingmodel.Based on the concept of fuzzy pattern recognition,anobjectivefunctionisestablished to minimize the least quadratic sums of weighted Euclideanweightdistanceofalldecisionmakers for all samples and all cluster centers. Through supervisionofdecisionmakers′preferences,anonlinearprogrammingmodel is presented to get alternative relative optimal membership degrees and criteria weights at the same time. A case study shows that the new model is reasonable and effective. The model provides a novel approach for the study of group decision making support systems.
出处
《控制与决策》
EI
CSCD
北大核心
2002年第B11期672-675,680,共5页
Control and Decision
基金
国家自然科学基金项目 (5 9173976 )
国防预研基金项目 (40 10 80 70 10 3)