Minimal solutions of general fuzzy relation equations on linear carriers. An algebraic characterization

Juan Carlos Diaz-Moreno; Jesus Medina; Esko Turunen

doi:10.1016/j.fss.2016.02.004

Minimal solutions of general fuzzy relation equations on linear carriers. An algebraic characterization

Juan Carlos Diaz-Moreno, Jesus Medina, Esko Turunen

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

21 Citations (Scopus)

Abstract

This paper considers a general fuzzy relation equation, which has minimal solutions, if it is solvable. In this case, an algebraic characterization is introduced which provides an interesting method to compute minimal solutions in this general setting. Moreover, a comparison with other frameworks is also given.

Original language	English
Pages (from-to)	112–123
Journal	Fuzzy Sets and Systems
Volume	311
DOIs	https://doi.org/10.1016/j.fss.2016.02.004
Publication status	Published - 2017
Publication type	A1 Journal article-refereed

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10.1016/j.fss.2016.02.004

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title = "Minimal solutions of general fuzzy relation equations on linear carriers. An algebraic characterization",

abstract = "This paper considers a general fuzzy relation equation, which has minimal solutions, if it is solvable. In this case, an algebraic characterization is introduced which provides an interesting method to compute minimal solutions in this general setting. Moreover, a comparison with other frameworks is also given.",

author = "Diaz-Moreno, {Juan Carlos} and Jesus Medina and Esko Turunen",

year = "2017",

doi = "10.1016/j.fss.2016.02.004",

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journal = "Fuzzy Sets and Systems",

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AU - Diaz-Moreno, Juan Carlos

AU - Medina, Jesus

AU - Turunen, Esko

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AB - This paper considers a general fuzzy relation equation, which has minimal solutions, if it is solvable. In this case, an algebraic characterization is introduced which provides an interesting method to compute minimal solutions in this general setting. Moreover, a comparison with other frameworks is also given.

U2 - 10.1016/j.fss.2016.02.004

DO - 10.1016/j.fss.2016.02.004

M3 - Article

VL - 311

SP - 112

EP - 123

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

ER -

Minimal solutions of general fuzzy relation equations on linear carriers. An algebraic characterization

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