Approximation of nonlinear T-S fuzzy system to p-integrable functions based on the triangular fuzzifier
Guoyin Zhang · Journal of Zhejiang University(Science Edition) · 2015
The analytical expression of piecewise linear function is firstly introduced by agiven p-integrable function.We constitute a class of new nonlinear T-S fuzzy system based on the triangular fuzzifier,product inference engine and center average defuzzifier.It is proved that the nonlinear T-S fuzzy system can approximate the piecewise linear function in the sense of p-integral norm,and also can approximate a p-integrable function with respect to p-integral norm.