基于2-可加模糊测度的多准则决策方法  

Multicriteria decision making method based on 2-order additive fuzzy measures

作　　者：武建章[1,2] 张强[1] 

机构地区：[1]北京理工大学管理与经济学院,北京100086 [2]石家庄经济学院管理科学与工程学院,石家庄050031

出　　处：《系统工程理论与实践》2010年第7期1229-1237,共9页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(70471063;70771010)

摘　　要：针对基于模糊积分的多准则决策方法在实际应用中的两个主要问题,从决策方案的等价值曲线角度分析了决策准则间交互性的直观表述和决策意义,提出了一种基于菱形成对比较法确定2-可加模糊测度的新方法,并在理论上证明了该方法的正确性.进而,基于所得2-可加模糊测度,利用Choquet模糊积分对各候选方案的评价信息进行集成,给出了一种多准则决策方法.最后,实例分析结果验证了该方法的操作简易性和合理性.In order to face with the two main problems of applying the fuzzy integrals based multicriteria decision making （MCDM） in real applications, this paper explains the visual representation and decision meaning of the interaction between decision criteria in terms of the equivalent curve of the decision alternatives, proposes a new algorithm to identify 2-order additive fuzzy measures based on the diamond pairwise comparisons （DPC）. The correctness of the algorithm is proved. Then, with the identified 2-order additive fuzzy measures, this paper presents a method in which Choquet integral is take as an aggregation function to integrate the evaluation of the alternatives. Finally, an illustrative example is given to demonstrate the practical feasibility and validity of the proposed method.

关 键 词：多准则决策方法 2-可加模糊测度 CHOQUET积分 菱形成对比较法(DPC) 交互性系数 默比乌斯变换 

分 类 号：C934[经济管理—管理学]