Optimal Rule Extraction of RBFN Based System Using Hierarchical Self Organised Evolution

S. Mukhopadhyay, A. Mandal
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Abstract

Abstract The fuzzy if-then rule extraction invariably assumes a preassigned structure instead of an optimal one. The paper presents the development of a hierarchical self organized radial basis function network (RBFN) that simultaneously evolve the structure and parameter of the Fuzzy rule-base. Robust particle swarm optimization (RPSO) is used as a tool for the learning of the state reproducing the result repeatedly with a preassigned value of iteration. Also the multi dimensional crossover vector is introduced as a set of Accommodation Boundary of the data set to employ desired number of linguistic fuzzy rules. Experiments conducted and comprehensive analyses show that the proposed method produces smaller number of rules with respect to the other methods along with comparable error. Also the computational time for learning will decrease significantly in this method as the concept of iteration during a learning cycle has been removed. The effect of different membership function has also been studied during the recruitment of node.
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基于层次自组织进化的RBFN系统最优规则提取
模糊if-then规则提取总是采用预先设定的结构,而不是最优结构。提出了一种分层自组织径向基函数网络(RBFN),该网络可以同时演化模糊规则库的结构和参数。采用鲁棒粒子群算法(RPSO)进行状态学习,以预先设定的迭代值重复生成结果。同时引入了多维交叉向量作为数据集的一组调节边界,以使用期望数量的语言模糊规则。实验和综合分析表明,与其他方法相比,该方法产生的规则数量较少,且误差相当。此外,由于在学习周期中去掉了迭代的概念,该方法的学习计算时间将大大减少。研究了节点招募过程中不同隶属函数的影响。
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