利用信息熵计算评价指标权重原理及实例

在对系统进行评价过程中，针对评价指标建立适当的权重，能充分反映评价体系中各指标的重要程度。选择客观赋权方法，能有效避免在评价过程中受到更多的人为因素影响。利用信息熵理论计算权重，首先需要解决为什么能利用信息熵来建立权重，讨论信息熵和权重之间的等价性，然后必须提供切实可行的计算方法。最后通过实例证明通过信息熵得到的权重，完全根据评价指标的客观数据间的关系进行计算，充分体现数据间差异性，是一种合理的客观赋权法。

Principles and Examples of Using Information Entropy to Calculate Weight

In the system evaluation, the establishment of appropriate weight for evaluation index is important, and it should fully reflect the importance of the evaluation system in each index. Selecting objective weighting method can effectively avoid the influence of anthropogenic factors more in the evaluation process. Firstly, we solve the question why information entropy can be used to calculate weight and discuss equivalence between entropy and weights, and then we must provide the calculation method feasible and give an algorithm. Finally, with the example, we can prove the weight obtained from information entropy. The study calculated entirely objective data evaluation based on the relationship between the fully reflects the difference between data, which is considered a reasonable and objective weighting method.