广义分层混合模糊系统及其泛逼近性

摘要

为避免广义模糊系统出现规则爆炸现象，引进实参数将Mamdani模糊系统和T-S模糊系统统一起来建立广义分层混合模糊系统，进而给出了广义分层混合模糊系统的数学表示．此外，应用方形分片线性函数的优良性质获得该广义分层混合模糊系统在积分模意义下仍具有泛逼近性，并通过实例及仿真说明该分层混合模糊系统能够避免模糊规则爆炸问题．%To avoid the rule-explosion in the fuzzy system, we introduce a real-number and unify the Mamdani fuzzy system and the T-S fuzzy system to build a generalized hierarchical hybrid fuzzy system, and derive its mathematical representation. Because of the good properties of square-piecewise linear functions, this type of fuzzy system still possesses the universal approximation ability in the sense of integral norm. Simulation in an example shows that the generalized hierarchical hybrid fuzzy system can avoid the rule-explosion problem.