典型T-S模糊系统是通用逼近器

研究的多输入单输出T－S模糊系统采用输入变量的线性函数作为规则后件，称为典型T－S模糊系统，在每个输入变量的模糊子集满足一致性以及隶属函数连续且分段可微的条件下，证明了典型T－S模糊系统是通和逼近器，以此为基础，提出当典型T－S模糊系统采用BP算法进行在线学习时，可以仅调节规则后件的参数，而同时仍然能够确保通用逼所性。

Typical T-S Fuzzy Systems Are Universal Approximators

The multi input single output T S fuzzy systems investigated in this paper, named as typical T S fuzzy systems, use linear functions of input variables as rule consequents. On the condition that fuzzy sets of each input variable are consistent and all the membership functions are continuous and piecewise differentiable, we proved that typical T S fuzzy systems are universal approximators. Based on the proof, we further pointed out that it's feasible to modify only the rule consequent parameters of typical T S fuzzy systems when it carries out online learning, however the universal approximation capability is still ensured.