基于粗糙熵权的模糊多准则决策方法及应用  

Fuzzy multiple criteria decision-making method and application based on rough entropy weight

作　　者：崔广彬[1] 李一军[1] 

机构地区：[1]哈尔滨工业大学管理学院,哈尔滨150001

出　　处：《控制与决策》2007年第4期408-412,共5页Control and Decision

基　　金：国家自然科学基金项目(70501009)

摘　　要：提出度量粗糙集不确定性的粗糙熵概念,并基于粗糙熵对属性的重要度给出了定义,从而提供一种求解模糊多准则决策模型中准则权重的方法.根据备选方案的模糊评价系统,给出相关的知识表达系统,并建立删除冗余属性后的备选方案综合评价优选矩阵,通过比较各备选方案与理想方案的近似度求出最优方案.最后,通过实例计算证明了上述模型及方法的有效性.A rough entropy method to measure the uncertainty in rough sets is proposed, and the defination of the significance of attribute based on rough entropy is made. Accordingly, an approach to determine the criteria weight of fuzzy multiple criteria decision-making model is presented. Based on the fuzzy rating system of the alternatives, a knowledge representation system is given. After the reduction of rating criteria, to identify the best alternative, the synthesis evaluation and optimal selection matrix of the alternatives are established, and the technique for order preference by the similarity to ideal solution is applied. A numerical example shows the effectiveness of the proposed model and method.

关 键 词：粗糙熵 模糊数排序 属性重要度 准则权重 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]