引用本文:郭三党,刘思峰,方志耕.基于核和灰度的区间灰数多属性决策方法[J].控制与决策,2016,31(6):1042-1046
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基于核和灰度的区间灰数多属性决策方法
郭三党 刘思峰 方志耕
1. 南京航空航天大学经济与管理学院,南京210016;
2. 河南农业大学信息与管理科学学院,郑州450002.
摘要:

针对属性值为区间灰数且部分权重信息已知的多属性决策问题, 提出一种基于区间灰数的核和灰度的决策方法. 根据专家评价值的取值范围设置区间灰数的取值论域, 给出了区间灰数的基于核和灰度的简化形式, 建立了普通区间灰数到标准区间灰数的转化方法, 分别基于标准灰数的核和灰度分别求取属性的权重, 进而得到属性的综合权重, 并提出了一种基于标准区间灰数相对核的排序方法对方案进行排序. 最后通过一个算例验证了所提出方法的有效性和可行性.

关键词:  

多属性决策|标准区间灰数|相对核|灰度

DOI:10.13195/j.kzyjc.2015.0633
分类号:N945
基金项目:

国家社科基金重大项目(10zd&014);江苏省研究生培养创新工程;中央高校基本科研业务费专项资金项目(CXLX12-0177).

Multi-attribute decision making model based on kernel and degree of greyness of interval grey numbers
GUO San-dang LIU Si-feng FANG Zhi-geng
1. College of Economics and Management,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;
2. College of Information and Management Science,He’nan Agricultural University,Zhengzhou 450002,China.
Abstract:

In view of the multi-objective decision problem that the attribute values are interval grey numbers and the attribute weights partially known, the multi-objective decision-making method based on the kernel and the degree of greyness of the interval grey numbers is proposed. Considering the scope of the expert evaluation, the domain of discourse and the simplified forms of the interval grey number based on the kernel and the degree of greyness of grey numbers are given. The conversion method from the ordinary interval grey numbers to standard grey numbers is designed. The attribute weight vector is solved respectively based on the kernel and the degree of greyness of the standard grey numbers. An ordering method based on the relative kernel of the standard grey numbers is proposed and is used to sort the project. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.

Key words:  

multi-attribute decision making|standard interval grey numbers|relative kernel|degree of greyness of grey numbers

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