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About the Use of Admissible Order for Defining Implication Operators

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Modeling Decisions for Artificial Intelligence (MDAI 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9880))

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Abstract

Implication functions are crucial operators for many fuzzy logic applications. In this work, we consider the definition of implication functions in the interval-valued setting using admissible orders and we use this interval-valued implications for building comparison measures.

H. Bustince was supported by Project TIN2013-40765-P of the Spanish Government. Z. Takáč was supported by Project VEGA 1/0420/15. B. Bedregal and G. Dimuro were supported by Brazilian funding agency CNPQ under Processes 481283/2013-7, 306970/2013-9, 232827/2014-1 and 307681/2012-2.

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Author information

Authors and Affiliations

  1. Dept. de Matemáticas, Universidad Pública de Navarra, Campus Arrosadia, s/n, 31.006, Pamplona, Spain

    M. Asiain

  2. Dept. de Automática y Computación, Universidad Pública de Navarra, Campus Arrosadia, s/n, 31.006, Pamplona, Spain

    Humberto Bustince & D. Paternain

  3. Institute of Smart Cities, Universidad Pública de Navarra, Campus Arrosadia, s/n, 31.006, Pamplona, Spain

    Humberto Bustince

  4. Departamento de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Campus Universitario, s/n, Lagoa Nova, Natal, CEP 59078-970, Brazil

    B. Bedregal

  5. Institute of Information Engineering, Automation and Mathematics, Slovak University of Technology in Bratislava, Radlinskeho 9, Bratislava, Slovakia

    Z. Takáč

  6. Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007, Katowice, Poland

    M. Baczyński

  7. Centro de Ciências Computacionais, Universidade Federal do Rio Grande, Av. Itália, km 08, Campus Carreiros, 96201-900, Rio Grande, Brazil

    G. P. Dimuro

Authors
  1. M. Asiain
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  2. Humberto Bustince
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  3. B. Bedregal
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  4. Z. Takáč
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  5. M. Baczyński
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  6. D. Paternain
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  7. G. P. Dimuro
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Corresponding author

Correspondence to Humberto Bustince .

Editor information

Editors and Affiliations

  1. University of Kövde , Skövde, Sweden

    Vicenç Torra

  2. Toho Gakuen , Kunitachi, Tokyo, Japan

    Yasuo Narukawa

  3. Enginyeria de la Informacio I de les Com, Univ Autonoma de Barcelona, Bellaterra, Spain

    Guillermo Navarro-Arribas

  4. Universitat d'Andorra , Sant Julià de Lòria, Andorra

    Cristina Yañez

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© 2016 Springer International Publishing Switzerland

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Asiain, M. et al. (2016). About the Use of Admissible Order for Defining Implication Operators. In: Torra, V., Narukawa, Y., Navarro-Arribas, G., Yañez, C. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2016. Lecture Notes in Computer Science(), vol 9880. Springer, Cham. https://doi.org/10.1007/978-3-319-45656-0_11

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  • DOI: https://doi.org/10.1007/978-3-319-45656-0_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45655-3

  • Online ISBN: 978-3-319-45656-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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