Generalized hierarchical hybrid fuzzy system and its universal approximation
广义分层混合模糊系统及其泛逼近性

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.