Fuzzy relation equations on a finite set

Ernest Czogala; Józef Drewniak; Witold Pedrycz

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

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Fuzzy relation equations on a finite set

Journal article

Peer reviewed

Fuzzy relation equations on a finite set

Ernest Czogala, Józef Drewniak and Witold Pedrycz

Fuzzy sets and systems, Vol.7(1), pp.89-101

1982

DOI: https://doi.org/10.1016/0165-0114(82)90043-4

Abstract

Chain of solutions

Elementary solution

Fuzzy relations

Fuzzy set

Greatest solution

Lower solution

Relation equation

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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Details

Title: Fuzzy relation equations on a finite set
Creators - without role: Ernest Czogala - Silesian University of Technology
Józef Drewniak - Silesian University of Technology
Witold Pedrycz - Silesian University of Technology
Publication Details: Fuzzy sets and systems, Vol.7(1), pp.89-101
Publisher: Elsevier B.V
Identifiers: 9938649308331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article