Minimal and maximal solutions of a decomposition problem of fuzzy relations

Antonio Di Nola; Salvatore Sessa; Witold Pedrycz; Masahiko Higashi

doi:10.1080/03081078508934903

Minimal and maximal solutions of a decomposition problem of fuzzy relations

Antonio Di Nola
, Salvatore Sessa
, Witold Pedrycz
, Masahiko Higashi

Department of Measurements and Control Systems (RAU/RAU2)

University of Naples Federico II
University of Georgia

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

18 Citations (Scopus)

Abstract

In this work we continue the study already begun in our foregoing paper, dealing with the decomposition problem of a binary fuzzy relation defined in the Cartesian product of a finite space. We characterize the whole set of the solutions of the max-min fuzzy relation equation which formulates the decomposition problem.

Original language	English
Pages (from-to)	103-116
Number of pages	14
Journal	International Journal of General Systems
Volume	11
Issue number	2
DOIs	https://doi.org/10.1080/03081078508934903
Publication status	Published - Aug 1985

Keywords

Fuzzy relation
decomposition of relation
fuzzy relation equation

ASJC Scopus subject areas

Control and Systems Engineering
Theoretical Computer Science
Information Systems
Modeling and Simulation
Computer Science Applications

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10.1080/03081078508934903

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title = "Minimal and maximal solutions of a decomposition problem of fuzzy relations",

abstract = "In this work we continue the study already begun in our foregoing paper, dealing with the decomposition problem of a binary fuzzy relation defined in the Cartesian product of a finite space. We characterize the whole set of the solutions of the max-min fuzzy relation equation which formulates the decomposition problem.",

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AU - Sessa, Salvatore

AU - Pedrycz, Witold

AU - Higashi, Masahiko

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AB - In this work we continue the study already begun in our foregoing paper, dealing with the decomposition problem of a binary fuzzy relation defined in the Cartesian product of a finite space. We characterize the whole set of the solutions of the max-min fuzzy relation equation which formulates the decomposition problem.

KW - Fuzzy relation

KW - decomposition of relation

KW - fuzzy relation equation

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DO - 10.1080/03081078508934903

M3 - Article

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EP - 116

JO - International Journal of General Systems

JF - International Journal of General Systems

IS - 2

ER -

Minimal and maximal solutions of a decomposition problem of fuzzy relations

Abstract

Keywords

ASJC Scopus subject areas

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