基于理想点—矢量余弦投影的多属性决策方法  

Multiple attribute decision making based on ideal point-vector cosine method

作　　者：孔造杰[1,2] 李斌 赵啸天 耿立沙 孙可远[1] Kong Zaojie;Li Bin;Zhao Xiaotian;Geng Lisha;Sun Keyuan(School of Economics & Management Hebei University of Technology,Tianjin 300401,China;Zhuhai College of Jilin University,Zhuhai Guangdong 519041,China;Dept. of Management Engineering,Shijiazhuang Science & Technology Vocational College,Shijiazhuang 050800,China)

机构地区：[1]河北工业大学经济管理学院,天津300401 [2]吉林大学珠海学院,广东珠海519041 [3]石家庄科技工程职业学院管理工程系,石家庄050800

出　　处：《计算机应用研究》2019年第9期2651-2654,共4页Application Research of Computers

基　　金：河北省科学技术厅项目(16214533);河北省研究生创新资助项目(CXZZBS2019044)

摘　　要：针对现有的多属性问题决策过程大多无法体现决策者对产品的个人多等级偏好以及缺乏一个客观合理的多属性评价基准的不足,提出一种基于矢量余弦投影的多属性偏好决策方法。通过多等级成对比较法来确定决策者对各项属性的偏好度;再根据理想点来确定理想评价对象各项属性的理想值;利用矢量余弦投影法计算一般多属性问题矢量在理想多属性问题矢量方向上的投影强度,根据强度的大小确定各个方案的优先级排序结果。通过一个算例验证了所提方法的有效性和可行性。In view of the deficiencies of current multiple attribute decision making methods can not reflect the individual pre- ference on multiple grades of the decision makers and lack an objective and reasonable multiple attribute evaluation benchmark. This paper proposed a multiple attribute decision making method based on the vector cosine method.Firstly,it used the pairwise comparison of alternatives on multiple grades to determine decision maker′s preference for each attribute.Secondly,it used the ideal point method to determine the ideal value of each attribute for the ideal evaluation object.Finally,it used the vector cosine projection method to calculate the projection intensity of the general multiple attribute problem vector in the direction of the ideal multiple attribute problem vector,these projection intensities determine the ranking result of the schemes.It used an example to demonstrate the feasibility of effectiveness of the proposed method.

关 键 词：多属性问题 个人多等级偏好 理想点法 矢量余弦投影法 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]