基于κ-可加模糊测度的多属性决策分析  

Multiple attributes decision making based on κ-additive fuzzy measures

作　　者：章玲[1] 周德群[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：《管理科学学报》2008年第6期18-24,共7页Journal of Management Sciences in China

基　　金：国家自然科学基金资助项目(90510010;70702015);教育部博士点基金资助项目(20050287026);国家软科学研究计划资助项目(2006GXQ3B184);江苏省软科学基金资助项目(BR2007013)

摘　　要：基于κ-可加模糊测度和 Choquet 积分理论,讨论基于关联的多属性决策分析问题的建模和求解.首先通过构建属性间的直接关联矩阵确定κ值;然后依据 Marichal 熵理论求解属性和属性集的权重;利用 Choquet 积分计算方案的综合评价值并以此对方案进行排序;最后给出算例验证上述理论和方法的合理性.In this paper the model and solution of multi-attribute decision making （MADM） with interaction among attributes are analyzed based on k-additive fuzzy measure and Choquet integral. The optimal value of k is identified on the basis of direct-relationship matrix of attribute; the weights of attribute and their combines are determined through Marichal entropy; the synthetical values of the alternatives are computed by Choquet integral; and the alternatives are ranked. Finally, an example is given to verify our theories and methods.

关 键 词：多属性决策分析 关联 k-可加模糊测度 CHOQUET积分 Marichal 熵 

分 类 号：C934[经济管理—管理学]