CAJ | 학술논문

针对属性权重和阶段权重完全未知且属性信息表示为混合形式的多阶段决策问题，提出一种新的决策方法。首先，将混合型属性信息统一成区间数形式，在此基础上根据属性信息的熵权区间和离差水平确定属性权重。然后，借助有序聚类法将决策对象各个阶段的矢量信息划分为若干个聚集，再以聚集中决策矢量的距离最小化为目标，构建优化模型求得聚集内各矢量的阶段权重，进而得到所有决策对象的综合阶段权重。最后，利用TOPSIS 法对决策对象进行排序，并通过算例对该方法的可行性和实用性进行证明。
침대속성권중화계단권중완전미지차속성신식표시위혼합형식적다계단결책문제，제출일충신적결책방법。수선，장혼합형속성신식통일성구간수형식，재차기출상근거속성신식적적권구간화리차수평학정속성권중。연후，차조유서취류법장결책대상각개계단적시량신식화분위약간개취집，재이취집중결책시량적거리최소화위목표，구건우화모형구득취집내각시량적계단권중，진이득도소유결책대상적종합계단권중。최후，이용TOPSIS 법대결책대상진행배서，병통과산례대해방법적가행성화실용성진행증명。
For the multi-stage decision-making problem that attribute weights and stage weights are com-pletely unknown and attribute information is expressed as different forms,a new decision-making method is pro-posed.Firstly,mixed attribute information is normalized into the form of interval numbers,and on this basis, the attribute weights are obtained by attribute entropy weight intervals and deviation degree of attribute infor-mation.Secondly,the decision information in different stages for each decision object is divided into several ag-gregations by a sequential clustering method.Thirdly,an optimization model which aims minimizing the sum of squares over the decision vector distance in aggregation is proposed,the stage weights over different aggrega-tions are obtained,and the comprehensive stage weights over all decision objects are achieved.Finally,TOPSIS is introduced to rank the decision objects.A numerical example is introduced to illustrate the feasibility and va-lidity of this approach.