Fuzzy relation equations on a finite set

Ernest Czogala; Józef Drewniak; Witold Pedrycz

doi:10.1016/0165-0114(82)90043-4

Fuzzy relation equations on a finite set

Ernest Czogala
, Józef Drewniak
, Witold Pedrycz

Department of Measurements and Control Systems (RAU/RAU2)

Silesian University of Technology

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

175 Citations (Scopus)

Abstract

The family of all the solutions of a fuzzy relation equation on a finite set is considered. It is characterized by the set of all the lower solutions, which can be obtained by a combinatorial algorithm.

Original language	English
Pages (from-to)	89-101
Number of pages	13
Journal	Fuzzy Sets and Systems
Volume	7
Issue number	1
DOIs	https://doi.org/10.1016/0165-0114(82)90043-4
Publication status	Published - Jan 1982

Keywords

Chain of solutions
Elementary solution
Fuzzy relations
Fuzzy set
Greatest solution
Lower solution
Relation equation

ASJC Scopus subject areas

Logic
Artificial Intelligence

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10.1016/0165-0114(82)90043-4

Cite this

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title = "Fuzzy relation equations on a finite set",

abstract = "The family of all the solutions of a fuzzy relation equation on a finite set is considered. It is characterized by the set of all the lower solutions, which can be obtained by a combinatorial algorithm.",

keywords = "Chain of solutions, Elementary solution, Fuzzy relations, Fuzzy set, Greatest solution, Lower solution, Relation equation",

author = "Ernest Czogala and J{\'o}zef Drewniak and Witold Pedrycz",

year = "1982",

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AU - Czogala, Ernest

AU - Drewniak, Józef

AU - Pedrycz, Witold

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N2 - The family of all the solutions of a fuzzy relation equation on a finite set is considered. It is characterized by the set of all the lower solutions, which can be obtained by a combinatorial algorithm.

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KW - Chain of solutions

KW - Elementary solution

KW - Fuzzy relations

KW - Fuzzy set

KW - Greatest solution

KW - Lower solution

KW - Relation equation

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U2 - 10.1016/0165-0114(82)90043-4

DO - 10.1016/0165-0114(82)90043-4

M3 - Article

AN - SCOPUS:0020005317

SN - 0165-0114

VL - 7

SP - 89

EP - 101

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 1

ER -

Fuzzy relation equations on a finite set

Abstract

Keywords

ASJC Scopus subject areas

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