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摘要: 研究了采用三角型隶属度函数的模糊系统的插值特性.针对常见的Mamdani和TSK 两类模糊系统,研究了模糊系统与分段插值函数在函数逼近上的等价性.在此基础上,分别给出 了两类模糊系统在插值方面的逼近误差估计.这一结果为模糊系统的结构分析提供了新的研究 方法和理论依据.Abstract: The interpolation mechanism of SISO fuzzy systems that use triangle MFs is discussed in this paper. Firstly, two types of fuzzy systems are studied: one with single value output and the other with polynomial output. The equivalence between the fuzzy systems and the piecewise interpolation functions is demonstrated then. And the estimation of the approximation error is given. In the end, the results in this paper are validated through some simulation examples.
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Key words:
- Fuzzy systems /
- membership functions /
- piecewise interpolation /
- function approxiamtion
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