Solving fuzzy relational equations through logical filtering

Kaoru Hirota; Witold Pedrycz

doi:10.1016/0165-0114(95)00221-9

Solving fuzzy relational equations through logical filtering

Kaoru Hirota
, Witold Pedrycz^*

^*Corresponding author for this work

Tokyo Institute of Technology
University of Manitoba

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

21 Citations (Scopus)

Abstract

The paper introduces an idea of logical filtering viewed as a new tool for solving fuzzy relational equations. Considering the panoply of the existing methods, the proposed approach can be classified as semi-analytic in the sense it departs from the individual analytical solutions to the individual equations in the system and combines them through an optimization process of logical filtering (masking). Several types of filtering are studied and provided with detailed learning schemes.

Original language	English
Pages (from-to)	355-363
Number of pages	9
Journal	Fuzzy Sets and Systems
Volume	81
Issue number	3
DOIs	https://doi.org/10.1016/0165-0114(95)00221-9
Publication status	Published - 1996
Externally published	Yes

Keywords

Fuzzy relational equations
Logical filtering
Optimization

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10.1016/0165-0114(95)00221-9

Cite this

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title = "Solving fuzzy relational equations through logical filtering",

abstract = "The paper introduces an idea of logical filtering viewed as a new tool for solving fuzzy relational equations. Considering the panoply of the existing methods, the proposed approach can be classified as semi-analytic in the sense it departs from the individual analytical solutions to the individual equations in the system and combines them through an optimization process of logical filtering (masking). Several types of filtering are studied and provided with detailed learning schemes.",

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AU - Hirota, Kaoru

AU - Pedrycz, Witold

PY - 1996

Y1 - 1996

N2 - The paper introduces an idea of logical filtering viewed as a new tool for solving fuzzy relational equations. Considering the panoply of the existing methods, the proposed approach can be classified as semi-analytic in the sense it departs from the individual analytical solutions to the individual equations in the system and combines them through an optimization process of logical filtering (masking). Several types of filtering are studied and provided with detailed learning schemes.

AB - The paper introduces an idea of logical filtering viewed as a new tool for solving fuzzy relational equations. Considering the panoply of the existing methods, the proposed approach can be classified as semi-analytic in the sense it departs from the individual analytical solutions to the individual equations in the system and combines them through an optimization process of logical filtering (masking). Several types of filtering are studied and provided with detailed learning schemes.

KW - Fuzzy relational equations

KW - Logical filtering

KW - Optimization

UR - https://www.scopus.com/pages/publications/0345890335

U2 - 10.1016/0165-0114(95)00221-9

DO - 10.1016/0165-0114(95)00221-9

M3 - Article

AN - SCOPUS:0345890335

SN - 0165-0114

VL - 81

SP - 355

EP - 363

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 3

ER -

Solving fuzzy relational equations through logical filtering

Abstract

Keywords

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