Comparative Evaluation of Prediction Model between Inference Fuzzy System and Universal Kriging for Spatial Data

Ghanim Mahmood Dhaher, Ibrahim Abdulghany Ibrahim
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Abstract

This paper dealt with one of the spatial interpolation methods in the geostatistics field. The purpose of this research is to get the parameters of unbiased estimators based on regionalized random variables in spatial statistics. In this paper, we used universal kriging with the fuzzy inference system by the Mamdani technique. the objective of this work is to estimate the parameters of covariance functions relying on spatial real for the depth of groundwater in Mosul city, Iraq. The data adopted contains (100) real data with locations representing the depth. From the results we show the best model with the constructs of weights, we illustrate the performance of universal kriging is the best when corresponding with the fuzzy system. In conclusion, the improvement of any method of spatial interpolation or fuzzy system does not depend on more statistical structures but depends on the efficiency of the method which satisfies the conditions of weights and minimum variance errors. All programming is applied by Matlab language.
空间数据推理模糊系统与通用克里格预测模型的比较评价
本文讨论了地统计学领域的一种空间插值方法。本文的研究目的是得到空间统计中基于区域化随机变量的无偏估计量的参数。本文利用Mamdani技术将通用克里格与模糊推理系统相结合。本工作的目的是估计伊拉克摩苏尔市地下水深度依赖空间实数的协方差函数参数。采用的数据包含(100)个真实数据,其位置表示深度。从结果中我们得到了带有权重结构的最佳模型,并说明了通用克里金算法在与模糊系统相对应时的性能是最好的。综上所述,任何一种空间插值方法或模糊系统的改进都不依赖于更多的统计结构,而取决于该方法的效率,该方法满足权值和方差误差最小的条件。所有程序设计均采用Matlab语言。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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