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Fuzzy min-max neural networks. I. Classification

机译:模糊最小-最大神经网络。一,分类

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摘要

A supervised learning neural network classifier that utilizes fuzzy sets as pattern classes is described. Each fuzzy set is an aggregate (union) of fuzzy set hyperboxes. A fuzzy set hyperbox is an n-dimensional box defined by a min point and a max point with a corresponding membership function. The min-max points are determined using the fuzzy min-max learning algorithm, an expansion-contraction process that can learn nonlinear class boundaries in a single pass through the data and provides the ability to incorporate new and refine existing classes without retraining. The use of a fuzzy set approach to pattern classification inherently provides a degree of membership information that is extremely useful in higher-level decision making. The relationship between fuzzy sets and pattern classification is described. The fuzzy min-max classifier neural network implementation is explained, the learning and recall algorithms are outlined, and several examples of operation demonstrate the strong qualities of this new neural network classifier.
机译:描述了一种利用模糊集作为模式分类的监督学习神经网络分类器。每个模糊集都是模糊集超框的集合(联合)。模糊集超级盒是由最小点和最大点定义的n维盒,具有相应的隶属函数。最小-最大点是使用模糊最小-最大学习算法确定的,该算法是一种扩展-收缩过程,可以一次通过数据来学习非线性类别边界,并提供合并新类别和改进现有类别的能力,而无需重新训练。模糊集方法在模式分类中的使用固有地提供了一定程度的成员资格信息,这在更高级别的决策中非常有用。描述了模糊集和模式分类之间的关系。解释了模糊最小-最大分类器神经网络的实现,概述了学习和召回算法,并通过一些操作示例证明了这种新型神经网络分类器的强大特性。

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