区间数多准则分类问题的一种 UTADIS 扩展方法

摘要

We propose an extension of the traditional UTADIS sorting method for the multi-criteria sorting problems with interval data,which is called IUTADIS.In this method,the interval numbers are not reduced to crisp numbers,but calculated according to their endpoints.A linear programming model is established to obtain the ranges of categories that each alternative may be assigned,namely, the intervals of contiguous categories.Because the calculation is directly based on the endpoints of in-terval numbers,it can minimize the information loss because of interval computation.In addition,it is flexible because it only requires decision maker to offer the range of some alternatives.Finally,an ex-ample is given to illustrate the feasibility of the method.%针对带有区间数的多准则分类问题,扩展了传统的 UTADIS(UTilites Additives DIScriminantes)方法,提出了一种区间 UTADIS(interval UTADIS,IUTADIS)方法。该方法不是将区间数转化为一个精确值(如均值),而是根据区间数的端点,建立一个线性规划模型,得到了各方案的分配范围,即分类区间。由于是直接采用区间数的端点计算,所以可以尽量减少因区间数运算带来的信息损失；并且,决策人对部分方案的分配,只需提供分类区间,这样可使该方法更加灵活。最后,用一个算例说明了该方法的可行性。