一种基于集对分析的区间数多属性决策方法

针对属性权重和决策矩阵均为区间数的多属性决策问题,提出了一种基于集对分析的排序方法。通过借鉴集对分析理论把论域三划分的思想,把区间评价值转化成联系数的形式,给出了两个具有直观意义、计算简便的排序准则,并分析其合理性。分析过程中发现,区间数权重向量和区间数决策矩阵的方案评价向量具有不同的自由度,因此需要对它们采用不同的处理方法。最后,通过算例表明算法排序有效。与已有的数学规划等方法相比,该方法计算更为简便,排序准则具有直观的意义。

Set-pair-analysis-based method for multiple attributes decision-making with intervals

A set-pair-analysis-based method is proposed for multiple attribute decision making problems in which both the attribute weights and the elements of decision matrix are interval numbers.By referring to the thought that the universe is divided into three parts in the set-pair-analysis theory,the interval evaluations are transformed into connection numbers.Two ranking criteria are presented and their rationality is analyzed.Based on the fact that the freedom degree of the interval attribute weights vector is different from that of the evaluation vector of every alternative in decision matrix,different methods to deal with the vectors are needed.Then an example is given to illustrate the proposed method.The result shows that the method is effective for ranking.Compared with popular approaches such as mathematical programming,the proposed method is more simply and conveniently,and its ranking rule has more intuitional meanings.