基于Choquet积分的区间灰数多属性决策方法  

Approach for multiple attribute decision-making with interval grey number based on Choquet integral

作　　者：王霞[1] 党耀国[1] 

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京211106

出　　处：《系统工程与电子技术》2015年第5期1106-1110,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(71071077;71371098);中央高校基本科研业务费专项资金(NC2012001);江苏省高校哲学社会科学重点研究基地重大项目(2012JDXM005);江苏省普通高校研究生科研创新计划(CXZZ13_0183)资助课题

摘　　要：针对多属性决策中属性间的关联性对决策结果的影响,提出了基于区间灰数灰度和Choquet积分的区间灰数多属性决策方法。根据区间灰数灰度的定义,证明了区间灰数的灰度是一种灰测度,由此定义了关于区间灰数灰度的离散Choquet积分并证明其性质;依据各方案的综合属性值的方差最小的原则建立多目标优化模型,确定了各属性或属性集的权重,最后利用Choquet积分对各方案的效果评价向量进行集成。通过实例说明了该方法的有效性。With regard to the interaction between attributes which has influenced on decision results in mul- tiple attribute decision making, a multiple attribute decision making method of interval grey number based on degree of greyness and Choquet integral is presented. Degree of greyness of interval grey number is proved as a grey measure according to its definition, then discrete Choquet integral of degree of greyness of interval grey number is defined, and some of its properHes are investigated. The weight of each attribute or attribute set is determined by using a multi-objective optimization model, which variance of comprehensive attribute values of each scheme is minimum; and the effect evaluation vector of each scheme are integrated based on Choquet inte- gral. Finally, an example is also presented to illustrate the effectiveness of the proposed method.

关 键 词：区间灰数 关联性 灰度 CHOQUET积分 

分 类 号：N941.5[自然科学总论—系统科学]