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Resolution of Fuzzy Relation Equations When the Fuzzy Relation is Defined on Fuzzy Subsets

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The Mathematics of the Uncertain

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 142))

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Abstract

In this paper some results of the theory of fuzzy relation equations are generalized, when fuzzy relations defined on fuzzy sets instead of crisp sets are considered. We find the biggest (or the smallest) solution of a fuzzy relation equation with different types of compositions.

It has been a deep honour having Pedro Gil as a master and mentor. And, besides it, we have been certainly lucky because his support, mentorship and advice having been truly influential for us. He taught us not only how to research and to publish an article but also how to pursue ideas that eventually could make an impact. He taught us so many things,... the most important ones: the worth of honesty and friendship. Thank you Pedro! we feel proud having learned from you!

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Oviedo, Oviedo, Spain

    Manuel José Fernández

  2. Departamento de Estadística, I.O. y D.M., Universidad de Oviedo, Oviedo, Spain

    Fermín Suárez

Authors
  1. Manuel José Fernández
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  2. Fermín Suárez
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Corresponding author

Correspondence to Manuel José Fernández .

Editor information

Editors and Affiliations

  1. Liberbank, Oviedo, Spain

    Eduardo Gil

  2. Viajes El Corte Inglés, Oviedo, Spain

    Eva Gil

  3. Funl Media, Oxford, United Kingdom

    Juan Gil

  4. Departamento de Estadística e Investigación Operativa y Didáctica de la Matemática, Facultad de Ciencias, Universidad de Oviedo, Oviedo, Spain

    María Ángeles Gil

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Fernández, M.J., Suárez, F. (2018). Resolution of Fuzzy Relation Equations When the Fuzzy Relation is Defined on Fuzzy Subsets. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_55

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  • DOI: https://doi.org/10.1007/978-3-319-73848-2_55

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73847-5

  • Online ISBN: 978-3-319-73848-2

  • eBook Packages: EngineeringEngineering (R0)

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