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Solving General Fuzzy Relation Equations Using Property-Oriented Concept Lattices

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Advances in Computational Intelligence (IPMU 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 298))

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Abstract

A generalization of the classical fuzzy relation equations has been introduced in order to consider any residuated conjunctor. Moreover, these equations can be solved using the theory of a general property-oriented concept lattice.

Partially supported by the Spanish Science Ministry TIN2009-14562-C05-03 and by Junta de Andalucía project P09-FQM-5233.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Cádiz, Spain

    Juan Carlos Díaz, Jesús Medina & Rafael Rodríguez

Authors
  1. Juan Carlos Díaz
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  2. Jesús Medina
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  3. Rafael Rodríguez
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Editor information

Editors and Affiliations

  1. Faculty of Economics, University of Catania, Corso Italia, 55, 95129, Catania, Italy

    Salvatore Greco  & Benedetto Matarazzo  & 

  2. Université Pierre et Marie Curie - Paris6, CNRS UMR 7606, DAPA, LIP6 8, rue du Capitaine Scott, F-75015, Paris, France

    Bernadette Bouchon-Meunier

  3. Dip. Matematica e Informatica, Università di Perugia, 06123, Perugia, Italy

    Giulianella Coletti

  4. Department of Computer and Management Science, University of Trento, Via Inama 5, 38122, Trento, Italy

    Mario Fedrizzi

  5. Machine Intelligence Institute, IONA College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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© 2012 Springer-Verlag Berlin Heidelberg

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Díaz, J.C., Medina, J., Rodríguez, R. (2012). Solving General Fuzzy Relation Equations Using Property-Oriented Concept Lattices. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (eds) Advances in Computational Intelligence. IPMU 2012. Communications in Computer and Information Science, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31715-6_42

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  • DOI: https://doi.org/10.1007/978-3-642-31715-6_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31714-9

  • Online ISBN: 978-3-642-31715-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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