熵权、变异系数及模糊多准则决策在测量平差中的综合应用

Integrated application of entropy theory,variation coefficient and fuzzy multi-criteria decision making in surveying adjustment

针对测量平差中按经验定权的片面性,提出了更加全面的定权方法:熵权法定权或变异系数定权,并将模糊多准则决策引入测量平差,可根据定权结果进行定权方法的优选,减少计算工作量。通过实例计算表明,熵权法定权或变异系数定权平差结果精度更高,模糊多准则决策能够有效选择最佳的平差定权方案,并大大减少了计算工作量,从而验证了新方法的可行性和优越性,具有一定的实用价值。

In this paper, aiming at weakness of experience weighting in surveying adjustment, a comprehensive weighting method with entropy theory is presented. At the same time, fuzzy multi-criteria decision making is introduced to surveying adjustment so as to reduce compute time for weight selection. Practical examples show that the accuracy of adjustment results based on entropy theory and variation coefficient is higher. Fuzzy multiple-criteria decision making can be effective to choose the best weight of the adjustment, and greatly reduce the computational workload. The feasibility and advantages of the new method is verified and this method has some practical value.