基于Choquet积分的多属性灰靶群决策方法  

Approach for multi-attribute grey target group decision-making based on Choquet integral

作　　者：王大澳 菅利荣[1] 刘思峰[1] 王慧[2] 

机构地区：[1]南京航空航天大学经济与管理学院,南京211106 [2]北京交通大学经济管理学院,北京100044

出　　处：《控制与决策》2017年第7期1286-1292,共7页Control and Decision

基　　金：国家自然科学基金项目(71573124;71503103;71173104);欧盟项目(FP7-PIIF-GA-2013-629051);江苏自然科学基金项目(BK20150157);江苏省普通高校研究生科研创新资助项目(KYZZ16_0154)

摘　　要：针对属性间具有关联性且属性值为区间灰数的多属性群决策问题,提出一种基于Choquet积分的多属性灰靶群决策方法.根据模糊测度和Choquet积分的性质,定义关于区间灰数的Choquet积分信息集成算子,并证明其相关性质;通过灰靶决策方法,对方案集的综合靶心距进行排序.仿真实例验证了所提出方法的合理性.A method of multi-attribute grey target group decision-making based on Choquet integral is proposed for the multi-attribute group decision-making problems that there are correlation between attributes and attribute values are interval grey number. Firstly, the Choquet integral information integration operator of interval grey numbers is defined according to the properties of the fuzzy measure and Choquet integral, and the related properties are proved. Then,the scheme set is sorted by using the method of gray target decision-making. Finally, a simulation example verifies the rationality of the proposed method.

关 键 词：区间灰数 模糊测度 CHOQUET积分 灰靶决策 

分 类 号：N941.5[自然科学总论—系统科学]