开发生成数据集分类模糊规则的模糊网格划分方法

Murni Marbun, O. S. Sitompul, E. Nababan, Poltak Sihombing
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摘要

复杂而庞大的模糊规则系统的主要弱点是分类数据解释的复杂性。由于多种原因,减少规则和删除重要规则会影响分类解释。根据使用模糊网格划分(FGP)方法处理高维数据的实验结果,随着特征数量的增加,生成许多模糊规则的难度仍呈指数级增长。解决这一问题的方法是一种结合了粗糙集方法和 FGP 方法优点的混合方法,即模糊网格划分粗糙集(FGPRS)方法。在爱尔兰数据中,粗糙集方法减少了特征和对象的数量,从而可以尽量减少数值过大的数据,而且使用 FGP 方法产生的模糊规则更加简洁。在 K=2 时,使用 FGPRS 方法产生的模糊规则数量为 50%;在 K=K+1 时,减少了 66.7%;在 K=2 K 时,减少了 75%。根据数据收集分类测试结果,FGPRS 方法的分类准确率为 83.33%,所有数据均可分类。
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Development of the fuzzy grid partition methods in generating fuzzy rules for the classification of data set
The main weakness of complex and sizeable fuzzy rule systems is the complexity of data interpretation in terms of classification. Classification interpretation can be affected by reducing rules and removing important rules for several reasons. Based on the results of experiments using the fuzzy grid partition (FGP) approach for high-dimensional data, the difficulty in generating many fuzzy rules still increases exponentially as the number of characteristics increases. The solution to this problem is a hybrid method that combines the advantages of the rough set method and the FGP method, which is called the fuzzy grid partition rough set (FGPRS) method. In the Irish data, the rough set approach reduces the number of characteristics and objects so that data with excessive values can be minimized, and the fuzzy rules produced using the FGP method are more concise. The number of fuzzy rules produced using the FGPRS method at K=2 is 50%; at K=K+1, it is reduced by 66.7% and at K=2 K, it is reduced by 75%. Based on the findings of the data collection classification test, the FGPRS method has a classification accuracy rate of 83.33%, and all data can be classified.
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