基于熵权法的区间数多指标决策方法及应用

Interval Number Multiple Index Decision Making Method Based on Entropy Weight Method and Its Application

以区间数的距离及规范化理论为基础探讨了属性值为区间数的多指标决策问题.分别构建了基于熵权法的区间数TOPSIS评价模型、基于熵权法的区间数灰色关联评价模型,基于熵权法的区间数TOPSIS-灰色关联组合评价模型.通过实例分析表明了,三种模型的算法的有效性及评价结果的合理性.进一步比较三种评价结果,说明了基于区间数的TOPSIS-灰色关联组合评价模型对方案的排序更具稳定性和实用性.

Based on the distance and normalization theory of interval numbers,the multi-index decision making problem with attribute values of interval numbers is discussed.The interval number TOPSIS evaluation model based on the entropy weight method,the interval number grey relational evaluation model based on the entropy weight method and the interval number TOPSIS-grey relational combination evaluation model based on the entropy weight method are constructed respectively.The example analysis shows that the effectiveness of the three models and the rationality of the evaluation results are valid.Further comparing the three evaluation results,it shows that the TOPSIS-grey relational combination evaluation model based on interval number has more stability and practicability in the sequencing of schemes.