权重为区间数的多指标决策问题的逼近理想点法

TOPSIS of Multiple Attribute Decision Making Problem With Interval-Valued Weight

通过引进区间数数量乘法运算 ,将权重为区间数的多指标决策问题转化为指标取值为区间数的多指标决策问题。在此基础上 ,定义了区间数正理想方案和区间数负理想方案 ,由此给出了权重为区间数的多指标决策问题的逼近理想点法 ,该方法简单实用 ,所需信息少。运用该方法分析了一个实际问题。

The paper transforms a multiple attribute decision making problem with interval valued weight into a multiple attribute decision making problem with interval valued indexes by introducing quantity multiplication operation of interval number. On this basis, it gives definitions of positive ideal plan and negative ideal plan of multiple attribute decision making problem with interval valued indexes, and by which gives TOPSIS to multiple attribute decision making problem with interval valued weight. This method is simple, practical and demands less information. Finally, a concrete problem by using the method is analyzed.\;