Fuzzy systems with defuzzification are universal approximators.
作者信息
Castro J L, Delgado M
机构信息
Dept. de Ciencias de la Comput. e Inteligencia Artificial, Granada Univ.
出版信息
IEEE Trans Syst Man Cybern B Cybern. 1996;26(1):149-52. doi: 10.1109/3477.484447.
PMID:18263015
Abstract
In this paper, we consider a fundamental theoretical question: Is it always possible to design a fuzzy system capable of approximating any real continuous function on a compact set with arbitrary accuracy? Moreover, we research whether the answer to the above question is positive when we restrict to a fixed (but arbitrary) type of fuzzy reasoning and to a subclass of fuzzy relations. This result can be viewed as an existence theorem of an optimal fuzzy system for a wide variety of problems.
摘要
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