一般区间2型Mamdani模糊系统是普遍逼近器

NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society Pub Date : 2008-05-19 DOI:10.1109/NAFIPS.2008.4531255

H. Ying

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引用次数: 43

摘要

使用2型模糊集和模糊逻辑的模糊系统很重要，并且在文献中确实越来越受到关注(例如，2型模糊控制器和模糊模型)。一个基本问题是2型模糊系统是否是一个普遍逼近器，因为它能够以任何精度一致逼近紧定义域上的任何实连续函数。到目前为止，在文献中没有找到解决这个问题的工作。构造性地证明了一类广义的Mamdani区间2型模糊系统是全称逼近器。该结果为模糊系统的开发奠定了理论基础。

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General interval type-2 Mamdani fuzzy systems are universal approximators

Fuzzy systems using type-2 fuzzy sets and fuzzy logic are important and are indeed gaining increasing attention in the literature (e.g., type-2 fuzzy controllers and fuzzy models). A fundamental question is whether a type-2 fuzzy system is a universal approximator in that it is capable of uniformly approximating any real continuous function on a compact domain to any degree of accuracy. Up to date, no work addressing this issue can be found in the literature. In this paper, we constructively prove that a general class of Mamdani interval type-2 fuzzy systems is universal approximator. This result lays a theoretical foundation for the fuzzy systems development.

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NAFIPS 2008 - 2008 Annual Meeting of the North American Fuzzy Information Processing Society

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