区间数排序法在多属性决策中的应用与研究  

Study on Sorting Method of Interval Numbers in Multiple Attributive Decision Making and Its Application

作　　者：赵慧冬[1] 包玉娥[1] 关世霞[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028043

出　　处：《数学的实践与认识》2013年第19期43-48,共6页Mathematics in Practice and Theory

基　　金：内蒙古自然科学基金(2010MS0119)

摘　　要：针对不确定多属性决策问题中区间数排序方法的讨论,首先给出了正区间数排序的公理化定义,然后基于公理化定义提出了区间数几何平均排序法;其次,将优势矩阵排序法、离差最大化排序法、基于相对关联系数的区间数排序法与几何平均排序法进行了比较,并指出了基于相对关联系数的区间数排序法的不足;最后,通过实例分析,得出几何平均排序法可以弥补基于相对关联系数的区间数排序法的不足,且拥有计算简便,运算量少的优点,验证了几何平均排序法的合理性及有效性.In this paper, sorting method of interval numbers in uncertain multiple attribu- tive decision making is discussed. Firstly, the axiomatic definition of sorting for positive interval numbers is given, and based on the axiomatic definition, geometric mean sorting method of interval numbers is proposed. Then, the comparison with sorting methods for advantage matrix, deviation maximization, interval numbers and geometric mean based on relative correlation coefficient is given, and the shortage of sorting method for interval num- bers based on relative correlation coefficient is derived. Finally, by the example, the advan- tages of sorting method for geometric mean than sorting method for interval numbers based on relative correlation coefficient are obtained, and the rationality and the practicality of geometric mean sorting method are further confirmed.

关 键 词：区间数 排序公理 排序方法 多属性决策 

分 类 号：C934[经济管理—管理学]