SISO T-S Fuzzy Systems as Universal Approximators

نویسندگان

  • Lijuan Cai
  • Wei Ge
  • Ziqiang Hao
چکیده

According to mathematical properties of continuous function, the universal approximation properties of fuzzy mapping in only one interval are analyzed, and some related theorems are proposed and proved. Then, the sufficient conditions of the general T-S fuzzy systems with universal approximation are derived from these theorems, which helps establish the new relationship between approximation error bounds and the number of the fuzzy rules of different T-S fuzzy systems. Finally, the paper proposes some suggestions to construct T-S fuzz systems with universal approximation.

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تاریخ انتشار 2014