摘要
提出了决策指标的权重不能完全确定而只能对权重进行大小排序,并且决策矩阵中的元素包含区间数的多指标决策问题.分4种类型给出区间数决策矩阵的规范化方法,给出了决策方案综合评价值区间的计算模型及算法:给出了区间数比较大小的可能度的概念及可能度的性质;给出了优序数的概念及有关定理.在此基础上,给出了一种简易且具有保序性的方案排序方法.最后应用实例对方法进行说明.
In the decision matrix with the interval number of multiple attribute decision making, Puts forward a decision problem of the weigh of attribute uncertainty but can rank. Points are given four types of interval Numbers decision matrix of standardization method; Given the decision making plan comprehensive evaluation value interval computation model and the calculation method; Define the interval number is the size of the possibility degree and gives its nature; Given the concept of preferential ordinal number with it give the related theorem. Based on this, puts forward a scheme of sorting method. The method simple and not change the order of the scheme. Finally application examples show the method.
出处
《数学的实践与认识》
CSCD
北大核心
2014年第21期179-185,共7页
Mathematics in Practice and Theory
基金
国家社会科学基金(12GJ003-076)
教育部人文社会科学研究青年基金(10YJC630337)
关键词
可能度
区间数
多指标决策
区间决策
优序数
possibility degree
interval number
multiple attribute decision making
interval decision making
preferential ordinal number
