Fuzzy systems with defuzzification are universal approximators

被引：155

作者：

Castro, JL

Delgado, M

机构：

[1] Department of Computer Science and Artificial Intelligence, Universidad de Granada

来源：

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 1996年 / 26卷 / 01期

关键词：

D O I：

10.1109/3477.484447

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider a fundamental theoretical question: Is it always possible to design a fuzzy system able of approximating any real continuous function on a compact set with arbitrary accuracy? Moreover, we will 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.

引用

页码：149 / 152

页数：4

共 22 条

[1]

Bernard J. A., 1988, IEEE Control Systems Magazine, V8, P3, DOI 10.1109/37.7735

[2] SUGENO TYPE CONTROLLERS ARE UNIVERSAL CONTROLLERS [J].

BUCKLEY, JJ .

FUZZY SETS AND SYSTEMS, 1993, 53 (03) :299-303

[3] FUZZY-LOGIC CONTROLLERS ARE UNIVERSAL APPROXIMATORS [J].

CASTRO, JL .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1995, 25 (04) :629-635

[4]

KOSKO B, 1992, MAR P IEEE INT C FUZ, P1153

[5]

LARSEN PM, 1980, INT J MAN MACH STUD, V12, P3, DOI 10.1016/S0020-7373(80)80050-2

[6] FUZZY-LOGIC IN CONTROL-SYSTEMS - FUZZY-LOGIC CONTROLLER .1. [J].

LEE, CC .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1990, 20 (02) :404-418

[7]

LEE CC, 1990, IEEE T SYST MAN CYB, V20, P419, DOI 10.1109/21.52552

[8] EXPERIMENT IN LINGUISTIC SYNTHESIS WITH A FUZZY LOGIC CONTROLLER [J].

MAMDANI, EH ;

ASSILIAN, S .

INTERNATIONAL JOURNAL OF MAN-MACHINE STUDIES, 1975, 7 (01) :1-13

[9] COMPARISON OF FUZZY-REASONING METHODS [J].

MIZUMOTO, M ;

ZIMMERMANN, HJ .

FUZZY SETS AND SYSTEMS, 1982, 8 (03) :253-283

[10]

MURAKAMI S, 1985, IND APPL FUZZY CONTR, P105

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