Numerical and applicational aspects of fuzzy relational equations

Witold Pedrycz

doi:10.1016/S0165-0114(83)80065-7

Numerical and applicational aspects of fuzzy relational equations

Witold Pedrycz

Department of Measurements and Control Systems (RAU/RAU2)

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

132 Citations (Scopus)

Abstract

We discuss numerical methods leading to a resolution of fuzzy relational equations which create a formal description of ill-defined systems. An applicability of the numerical approach is shown in solving some problems in fuzzy systems such as identification and control. An idea of fuzzy discretization (fuzzy chopping) as a meaningful tool for handling various problems is also investigated.

Original language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Fuzzy Sets and Systems
Volume	11
Issue number	1-3
DOIs	https://doi.org/10.1016/S0165-0114(83)80065-7
Publication status	Published - 1983

Keywords

Control
Fuzzy discretization
Fuzzy relational equation
Identification
Numerical methods

ASJC Scopus subject areas

Logic
Artificial Intelligence

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10.1016/S0165-0114(83)80065-7

Cite this

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title = "Numerical and applicational aspects of fuzzy relational equations",

abstract = "We discuss numerical methods leading to a resolution of fuzzy relational equations which create a formal description of ill-defined systems. An applicability of the numerical approach is shown in solving some problems in fuzzy systems such as identification and control. An idea of fuzzy discretization (fuzzy chopping) as a meaningful tool for handling various problems is also investigated.",

keywords = "Control, Fuzzy discretization, Fuzzy relational equation, Identification, Numerical methods",

author = "Witold Pedrycz",

year = "1983",

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language = "English",

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T1 - Numerical and applicational aspects of fuzzy relational equations

AU - Pedrycz, Witold

PY - 1983

Y1 - 1983

N2 - We discuss numerical methods leading to a resolution of fuzzy relational equations which create a formal description of ill-defined systems. An applicability of the numerical approach is shown in solving some problems in fuzzy systems such as identification and control. An idea of fuzzy discretization (fuzzy chopping) as a meaningful tool for handling various problems is also investigated.

AB - We discuss numerical methods leading to a resolution of fuzzy relational equations which create a formal description of ill-defined systems. An applicability of the numerical approach is shown in solving some problems in fuzzy systems such as identification and control. An idea of fuzzy discretization (fuzzy chopping) as a meaningful tool for handling various problems is also investigated.

KW - Control

KW - Fuzzy discretization

KW - Fuzzy relational equation

KW - Identification

KW - Numerical methods

UR - https://www.scopus.com/pages/publications/0346837453

U2 - 10.1016/S0165-0114(83)80065-7

DO - 10.1016/S0165-0114(83)80065-7

M3 - Article

AN - SCOPUS:0346837453

SN - 0165-0114

VL - 11

SP - 1

EP - 18

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 1-3

ER -

Numerical and applicational aspects of fuzzy relational equations

Abstract

Keywords

ASJC Scopus subject areas

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