一种新的区间型多属性决策方法

A new method for interval multi-attribute decision making

针对属性值和权重均为区间数的多属性决策问题,结合区间数运算,找出各属性属性值区间数中最小下限和最大上限形成一组新区间数,构造这组区间数的加权平均区间数作为基本区间数,利用集对分析思想,计算各方案的加权平均区间数与基本区间数的联系度,最后用集对势进行方案排序.实际算例表明了排序方法的合理性与有效性.

A new method is proposed for interval multi-attribute decision making, in which both the attribute values and the attribute weights are in the form of interval numbers. Firstly, the minimum limit and maximum limit of every attribute value interval number are found out to form a new interval number, with interval number operation, its weighted average interval number is constituted as based interval number. Then, by using the idea of set pair analysis, the connection degree between each program weighted average interval number and based interval number is calculated. Finally, all programs are ranked by using set pair. An illustrative example is given to illustrate the reasonability and efficiency of the proposed method.