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Fuzzy Partition and Input Selection by Genetic Algorithms for Designing Fuzzy Rule-Based Classification Systems

机译:遗传算法的模糊划分和输入选择,用于设计基于规则的模糊分类系统

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For function approximation using fuzzy if-then rules, Nomura et al. (1992) proposed a genetic algorithm-based method for adjusting the fuzzy partition of an input space. In this paper, we apply their method to pattern classification problems. We have already extended the coding method to the case where intervals and trapezoidal membership functions can be used for antecedent fuzzy sets (Ishibuchi & Murata, 1996). There are, however, two drawbacks in these methods. One is that the resolution of each axis on which the fuzzy partition is adjusted should be prespecified by a decision-maker. The other is that the number of fuzzy if-then rules exponentially increases as the number of attributes increases. To cope with these drawbacks, we propose a genetic algorithmbased fuzzy partition method that has the following advantages: 1. The resolution of each axis is determined by the histogram of training patterns. 2. The membership function is determined by the histogram and a genetic algorithm. 3. Input selection is also performed by the genetic algorithm. We show the effectiveness of the proposed method by computer simulations on iris data with 4 attributes and wine data with 13 attributes.
机译:对于使用模糊if-then规则的函数逼近,Nomura等人。 (1992年)提出了一种基于遗传算法的方法来调整输入空间的模糊分区。在本文中,我们将其方法应用于模式分类问题。我们已经将编码方法扩展到可以将区间和梯形隶属函数用于前提模糊集的情况(Ishibuchi&Murata,1996)。但是,这些方法有两个缺点。一个是决策者应预先指定调整模糊分区的每个轴的分辨率。另一个是模糊的if-then规则的数量随着属性数量的增加而呈指数增加。为了克服这些缺点,我们提出了一种基于遗传算法的模糊分区方法,具有以下优点:1.每个轴的分辨率由训练模式的直方图确定。 2.隶属度函数由直方图和遗传算法确定。 3.输入选择也由遗传算法执行。我们通过对具有4个属性的虹膜数据和具有13个属性的酒数据进行计算机仿真,证明了该方法的有效性。

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