控制理论与应用2013，Vol.30Issue(6)：765-772,8.DOI:10.7641/CTA.2013.21162
基于二叉树型分层的广义混合模糊系统推理规则数的缩减
Reducing the number of inference rules for generalized hybrid fuzzy systems based on binary tree-type hierarchy
摘要
Abstract
To avoid the rule-explosion in the generalized hybrid fuzzy systems with increasing number of input variables,we put the hybrid inference rules in a binary tree-type hierarchy,and hierarchize the input variables of the generalized hybrid fuzzy system in the binary trees to obtain expressions for the input and output of the generalized hybrid fuzzy system,and theoretically derive a formula for computing the total number of inference rules.In an example,we analyze and compare the total number of fuzzy inference rules between the hierarchical and non-hierarchical generalized hybrid fuzzy systems.It shows that the total number of inference rules in hierarchical generalized hybrid fuzzy system is reduced greatly,effectively avoiding the rules explosion.关键词
二叉树型分层/混合推理规则/广义混合模糊系统/推理规则总数Key words
binary tree-type hierarchy/ hybrid inference rule/ generalized hybrid fuzzy systems/ inference rules分类
信息技术与安全科学引用本文复制引用
杨阳,王贵君,杨永强..基于二叉树型分层的广义混合模糊系统推理规则数的缩减[J].控制理论与应用,2013,30(6):765-772,8.基金项目
国家自然科学基金资助项目(60974144). （60974144）
