کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
407725 | 678166 | 2015 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Approximation properties of ELM-fuzzy systems for smooth functions and their derivatives
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Approximation properties of ELM-fuzzy systems for smooth functions and their derivatives Approximation properties of ELM-fuzzy systems for smooth functions and their derivatives](/preview/png/407725.png)
چکیده انگلیسی
In this paper, we utilize generalized Bernstein polynomials to construct fuzzy system. Different from traditional Bernstein polynomials, partition of interval on input variable can be chosen as non-equidistant division. We prove that generalized Bernstein fuzzy systems are universal approximators to a given continuous function and its high-order derivatives. Further, ELM method is used to tune the parameters of generalized Bernstein fuzzy system and Spline fuzzy system. It is proved that ELM-Spline fuzzy system can approximate a function and its derivative. Simulation examples show that the proposed ELM-Bernstein fuzzy system and ELM-spline fuzzy system can achieve high approximation capability for nonlinear model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Neurocomputing - Volume 149, Part A, 3 February 2015, Pages 265–274
Journal: Neurocomputing - Volume 149, Part A, 3 February 2015, Pages 265–274
نویسندگان
De-Gang Wang, Wen-Yan Song, Hong-Xing Li,