基于直觉乘性模糊判断矩阵的效能指标聚合方法  

Aggregation method for effectiveness index based on intuitionistic multiplicative preference relation

作　　者：王劲松[1] 金天祥 刘方正[1] 齐全[1] WANG Jin-song;JIN Tian-xiang;LIU Fang-zheng;QI Quan(Network System,Hefei Electronic Engineering Inst.,Hefei 230037,China)

机构地区：[1]合肥电子工程学院网络系,合肥230037

出　　处：《海军工程大学学报》2018年第4期41-46,共6页Journal of Naval University of Engineering

基　　金：国家自然科学基金资助项目(61171170);安徽省自然科学基金资助项目(1408085QF115);全军军事学研究生资助项目(2014JY338)

摘　　要：针对效能指标权重难以确定、效能评估环境存在不确定性等效能指标聚合问题,提出了一种基于直觉乘性模糊判断矩阵的效能指标聚合方法。首先,根据直觉乘性模糊判断矩阵提出直觉乘性模糊熵和交叉熵;然后,基于直觉乘性模糊熵和交叉熵计算专家权重,克服了传统指标聚合方法确定专家权重时存在的主观判断误差;最后,集成所有专家的直觉乘性模糊判断矩阵信息确定各效能指标的集成权重。算例分结果析表明:该方法合理有效,可操作性强。Aiming at the problems that the weight of the effectiveness index is difficult to be determined and the efficiency evaluation environment keeps uncertain,a new effectiveness index aggregation method based on intuitionistic multiplicative preference relation(IMPR)is proposed.Firstly,intuitionistic multiplicative preference entropy and cross entropy are defined according to the IMPR.Then expert weights are calculated from entropy and cross entropy,and through the expert weights calculation method the errors in traditional effectiveness index aggregation can be corrected.Finally,the index aggregation weights are calculated from overall IMPR which is integrated from experts′IMPRs.An example analysis shows that the proposed method is reasonable,effective and easy to operate.

关 键 词：直觉乘性模糊判断矩阵 熵 交叉熵 效能指标聚合 

分 类 号：E919[军事]