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About the Use of Admissible Order for Defining Implication Operators

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Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2016)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 610))

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.

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References

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Acknowledgements

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.

Author information

Authors and Affiliations

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

    Maria Jose Asiain

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

    Humberto Bustince & Daniel 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, 59078-970, Brazil

    Benjamin Bedregal

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

    Zdenko Takáč

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

    Michal Baczyński

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

    Graçaliz Dimuro

Authors
  1. Maria Jose Asiain
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  2. Humberto Bustince
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  3. Benjamin Bedregal
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  4. Zdenko Takáč
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  5. Michal Baczyński
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  6. Daniel Paternain
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  7. Graçaliz Dimuro
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Corresponding author

Correspondence to Humberto Bustince .

Editor information

Editors and Affiliations

  1. INESC-ID,Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    Joao Paulo Carvalho

  2. LIP 6, Université Pierre et Marie Curie, Paris, France

    Marie-Jeanne Lesot

  3. School of Industrial Engineering, Eindhoven University of Technology, Eindhoven, The Netherlands

    Uzay Kaymak

  4. IDMEC,Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    Susana Vieira

  5. LIP6, Université Pierre et Marie Curie, CNRS, Paris, France

    Bernadette Bouchon-Meunier

  6. Machine Intelligence Institute, Iona College, New Rochelle, New York, USA

    Ronald R. Yager

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© 2016 Springer International Publishing Switzerland

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Asiain, M.J. et al. (2016). About the Use of Admissible Order for Defining Implication Operators. In: Carvalho, J., Lesot, MJ., Kaymak, U., Vieira, S., Bouchon-Meunier, B., Yager, R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2016. Communications in Computer and Information Science, vol 610. Springer, Cham. https://doi.org/10.1007/978-3-319-40596-4_30

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  • DOI: https://doi.org/10.1007/978-3-319-40596-4_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40595-7

  • Online ISBN: 978-3-319-40596-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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