NDLI: Multi-resolution techniques in the rules-based intelligent control systems: a universal approximation result

Content Provider	IEEE Xplore Digital Library
Author	Yeung Yam Nguyen, H.T. Kreinovich, V.
Copyright Year	1999
Description	Author affiliation: Dept. of Mech. & Autom. Eng., Chinese Univ. of Hong Kong, Shatin, Hong Kong (Yeung Yam)
Abstract	One of the main problems of fuzzy control is that the number of rules which are necessary to represent a given control strategy with a given accuracy, grows exponentially with the increase in accuracy. As a result, for reasonable accuracy and a reasonable number of input variables, a great number of rules is sometimes needed. In this paper, we start to solve this problem by pointing out that traditional one-step fuzzy rule bases, in which expert rules directly express control in terms of the input, are often a simplification of the actual multi-step expert reasoning. We show that a natural formalization of such expert reasoning leads to a universal approximation result in which the number of control rules does not increase with the increase in accuracy. Thus, this multi-resolution approach looks like a promising solution to the rule base explosion problem.
Starting Page	213
Ending Page	218
File Size	531095
Page Count	6
File Format	PDF
ISBN	0780356659
ISSN	21589860
DOI	10.1109/ISIC.1999.796657
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-09-17
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Intelligent control Automatic control Fuzzy control Temperature control Control systems Natural languages Home appliances Space shuttles Input variables Explosions
Content Type	Text
Resource Type	Article

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