摘要
针对多属性决策评价问题,为了克服传统理想解法欧式距离的缺陷,提出一种基于投影法和夹角度量法的改进TOPSIS方法.该方法以理想解法为基础模型,由灰色关联度法确定各评价指标的权重,然后通过投影法和夹角度量法计算各待评价方案到理想解和虚拟最劣解的正负投影距离和正负夹角,最后将两者的评价值进行有机结合,构造一种新的相对贴近度——投影夹角系数来实现对各待评价方案的综合评价.该方法综合了灰色关联度法、投影法、夹角度量法三种方法的优势,构造了一种更全面的综合评价方法,最后文章将该方法与TOPSIS法、夹角度量法、正交投影法进行了分析对比,通过实例证明了该方法的可行性与有效性.
In this paper,we present a new TOPSIS method based on projection method and angle measure evaluation method for the purpose of overcoming the defects caused by the traditional TOPSIS Euclidean distance.This method is based on TOPSIS,and the weight of each evaluation index is determined by grey correlation degree.Meanwhile,the relative projection distance and angle of each evaluation scheme to the ideal solution and the virtual worst solution are calculated by projection method and angle measure evaluation method,and a new relative similarity degree is established by combining projection method and angle measure evaluation method.At the end,this method is compared with TOPSIS method,angle measure evaluation method and vertical projection method and the feasibility and effectiveness of this method are explained by example.
作者
李美娟
袁宁
陈磊
LI Meijuan;YUAN Ning;CHEN Lei(School of Economics and Management,Fuzhou University,Fuzhou 350108)
出处
《系统科学与数学》
CSCD
北大核心
2020年第9期1614-1627,共14页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(71872047,71801050,71972041)
国家社科基金(18BGL121)
福建省社会科学规划项目(FJ2018B029,FJ2019B086)
福建省软科学项目(2019R0083,2019R0013)
福建省高等学校新世纪优秀人才支持计划资助
福建省高校领军人才资助课题
关键词
灰色关联度法
投影法
夹角度量法
理想解法
Grey correlation degree
projection method
angle measure evaluation method
TOPSIS
