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International Conference on Modeling Decisions for Artificial Intelligence

MDAI 2013: Modeling Decisions for Artificial Intelligence pp 237–247Cite as

Permutability of Fuzzy Consequence Operators Induced by Fuzzy Relations

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8234))

Abstract

In this paper we study the permutability of the composition of fuzzy consequence operators when they are induced by fuzzy relations using the usual Zadeh’s compositional rule. In particular, we study the case of fuzzy indistinguishability operators and fuzzy preorders. We study the connection between the permutability of the fuzzy relations and the permutability of their induced fuzzy operators.

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Author information

Authors and Affiliations

  1. Departamento de Física y Matemática Aplicada, Facultad de Ciencias, Universidad de Navarra, Pamplona, Spain

    Neus Carmona, Jorge Elorza & Jean Bragard

  2. Secció Matemàtiques i Informàtica, ETS Arquitectura del Vallès, Universitat Politècnica de Catalunya, Sant Cugat del Vallès, Spain

    Jordi Recasens

Authors
  1. Neus Carmona
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  2. Jorge Elorza
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  3. Jordi Recasens
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  4. Jean Bragard
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Editor information

Editors and Affiliations

  1. IIIA-CSIC, Campüus UAB s/n, 08193, Bellaterra, Catalonia, Spain

    Vicenç Torra

  2. Toho Gakuen, 3-1-10, Naka, 186-0004, Kunitachi, Tokyo, Japan

    Yasuo Narukawa

  3. Departament d’Enginyeria de la Informació i de les Comunicacions, Universitat Autonoma de Barcelona, 08193, Bellaterra, Catalonia, Spain

    Guillermo Navarro-Arribas

  4. Internet Interdisciplinary Institute (IN3); Estudis d’Informàtica, Multimèdia i Telecomunicació, Universitat Oberta de Catalunya, Rambla del Poblenou, 156, 08018, Barcelona, Catalonia, Spain

    David Megías

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Carmona, N., Elorza, J., Recasens, J., Bragard, J. (2013). Permutability of Fuzzy Consequence Operators Induced by Fuzzy Relations. In: Torra, V., Narukawa, Y., Navarro-Arribas, G., Megías, D. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2013. Lecture Notes in Computer Science(), vol 8234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41550-0_21

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  • DOI: https://doi.org/10.1007/978-3-642-41550-0_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-41549-4

  • Online ISBN: 978-3-642-41550-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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