Fuzzy models and relational equations

W. Pedrycz

doi:10.1016/0270-0255(87)90508-2

Fuzzy models and relational equations

W. Pedrycz

Department of Measurements and Control Systems (RAU/RAU2)

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

15 Citations (Scopus)

Abstract

We consider a problem of system modelling expressed mathematically in terms of fuzzy sets, especially fuzzy relational equations. A general methodological scheme is proposed and, as a sequel, particularized in the form of a sequence of several steps, such as: (i) structure determination, (ii) parameter determination and (iii) model validation. Procedures for studying and detecting a data structure are given special attention. New schemes are proposed. Moreover, several examples indicating fields of application of fuzzy models are considered.

Original language	English
Pages (from-to)	427-434
Number of pages	8
Journal	Mathematical Modelling
Volume	9
Issue number	6
DOIs	https://doi.org/10.1016/0270-0255(87)90508-2
Publication status	Published - 1987

ASJC Scopus subject areas

General Engineering

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10.1016/0270-0255(87)90508-2

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title = "Fuzzy models and relational equations",

abstract = "We consider a problem of system modelling expressed mathematically in terms of fuzzy sets, especially fuzzy relational equations. A general methodological scheme is proposed and, as a sequel, particularized in the form of a sequence of several steps, such as: (i) structure determination, (ii) parameter determination and (iii) model validation. Procedures for studying and detecting a data structure are given special attention. New schemes are proposed. Moreover, several examples indicating fields of application of fuzzy models are considered.",

author = "W. Pedrycz",

year = "1987",

doi = "10.1016/0270-0255(87)90508-2",

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journal = "Mathematical Modelling",

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T1 - Fuzzy models and relational equations

AU - Pedrycz, W.

PY - 1987

Y1 - 1987

N2 - We consider a problem of system modelling expressed mathematically in terms of fuzzy sets, especially fuzzy relational equations. A general methodological scheme is proposed and, as a sequel, particularized in the form of a sequence of several steps, such as: (i) structure determination, (ii) parameter determination and (iii) model validation. Procedures for studying and detecting a data structure are given special attention. New schemes are proposed. Moreover, several examples indicating fields of application of fuzzy models are considered.

AB - We consider a problem of system modelling expressed mathematically in terms of fuzzy sets, especially fuzzy relational equations. A general methodological scheme is proposed and, as a sequel, particularized in the form of a sequence of several steps, such as: (i) structure determination, (ii) parameter determination and (iii) model validation. Procedures for studying and detecting a data structure are given special attention. New schemes are proposed. Moreover, several examples indicating fields of application of fuzzy models are considered.

UR - https://www.scopus.com/pages/publications/38249037141

U2 - 10.1016/0270-0255(87)90508-2

DO - 10.1016/0270-0255(87)90508-2

M3 - Article

AN - SCOPUS:38249037141

SN - 0270-0255

VL - 9

SP - 427

EP - 434

JO - Mathematical Modelling

JF - Mathematical Modelling

IS - 6

ER -

Fuzzy models and relational equations

Abstract

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