On direct construction of fuzzy systems

Ming Ma; Yanqing Zhang; Gideon Langholz; Abraham Kandel

doi:10.1016/S0165-0114(97)00387-4

On direct construction of fuzzy systems

Ming Ma, Yanqing Zhang, Gideon Langholz, Abraham Kandel^*

^*Corresponding author for this work

Department of Electrical Engineering - Systems

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we show that the fuzzy logic system presented by Wang and Mendel (1992) is a linear expansion of the fuzzy rule base if fuzzy events are represented by triangular basis functions. Therefore, based on linear regression theory, we propose a direct approach for constructing a fuzzy logic system from input-output data. The effectiveness of this approach is demonstrated by simulations.

Original language	English
Pages (from-to)	165-171
Number of pages	7
Journal	Fuzzy Sets and Systems
Volume	112
Issue number	1
DOIs	https://doi.org/10.1016/S0165-0114(97)00387-4
State	Published - 16 May 2000

Keywords

Fuzzy logic systems
Fuzzy rule base
Linear expansion
Linear regression
Linguistic variables

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10.1016/S0165-0114(97)00387-4

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title = "On direct construction of fuzzy systems",

abstract = "In this paper, we show that the fuzzy logic system presented by Wang and Mendel (1992) is a linear expansion of the fuzzy rule base if fuzzy events are represented by triangular basis functions. Therefore, based on linear regression theory, we propose a direct approach for constructing a fuzzy logic system from input-output data. The effectiveness of this approach is demonstrated by simulations.",

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AU - Ma, Ming

AU - Zhang, Yanqing

AU - Langholz, Gideon

AU - Kandel, Abraham

PY - 2000/5/16

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N2 - In this paper, we show that the fuzzy logic system presented by Wang and Mendel (1992) is a linear expansion of the fuzzy rule base if fuzzy events are represented by triangular basis functions. Therefore, based on linear regression theory, we propose a direct approach for constructing a fuzzy logic system from input-output data. The effectiveness of this approach is demonstrated by simulations.

AB - In this paper, we show that the fuzzy logic system presented by Wang and Mendel (1992) is a linear expansion of the fuzzy rule base if fuzzy events are represented by triangular basis functions. Therefore, based on linear regression theory, we propose a direct approach for constructing a fuzzy logic system from input-output data. The effectiveness of this approach is demonstrated by simulations.

KW - Fuzzy logic systems

KW - Fuzzy rule base

KW - Linear expansion

KW - Linear regression

KW - Linguistic variables

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DO - 10.1016/S0165-0114(97)00387-4

M3 - מאמר

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VL - 112

SP - 165

EP - 171

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

IS - 1

ER -

On direct construction of fuzzy systems

Abstract

Keywords

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