基于改进TOPSIS的三参数区间灰数多属性决策方法  

Multi-Attribute Decision Making Method Based on Improved TOPSIS Under Three-Parameter Interval Grey Number

作　　者：王霞 WANG Xia(College of Business Administration,Henan University of Economic and Law,Zhengzhou 450046)

机构地区：[1]河南财经政法大学工商管理学院,郑州450046

出　　处：《系统科学与数学》2021年第5期1328-1338,共11页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(51979106);河南省高等学校重点科研项目(18A120006);河南省软科学项目(212400410056)资助课题。

摘　　要：针对属性值为三参数区间灰数的多属性决策问题,提出了一种基于改进TOPSIS的三参数区间灰数多属性决策方法.文章根据三参数区间灰数的取值特征,定了三参数区间灰数相容度的概念;其次分析了经典TOPSIS方法的不足,结合三参数区间灰数的相容度,定义了方案的加权相对相容度,依据加权相容度对方案进行排序;最后将可变熵拓展到决策信息为三参数区间灰数的情况,建立了确定属性权重的可变熵优化模型,并通过实例验证了该方法的有效性和合理性.Aiming at multi-attribute decision making problems,in which the attribute value of alternatives is three-parameter interval grey number,a multi-attribute decision making method based on improved TOPSIS is proposed.In this paper,according to the value characteristics of three parameter interval grey number,the concept of compatibility degree of three parameter interval grey number is defined.Secondly,the shortcomings of the classical TOPSIS method are analyzed.Combined with the compatibility degree of three parameter interval grey number,the weighted relative compatibility degree of the scheme is defined,and the scheme is sorted according to the weighted compatibility degree.Finally,the variable entropy is extended to the case that the decision information is three-parameter interval grey number,and a variable entropy optimization model is established to determine the attribute weight.The validity and rationality of the method are verified by an example.

关 键 词：三参数区间灰数 相容度 TOPSIS 可变熵 

分 类 号：O225[理学—运筹学与控制论]