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Atanassov’s Intuitionistic Contractive Fuzzy Negations

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Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods (IPMU 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 80))

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Abstract

In this work we consider the concept of contractive Atanassov’s intuitionistic mapping. In particular, we show that with our definitions, the only strict (strong) contractive negation is the standard one.

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Author information

Authors and Affiliations

  1. Departamento de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Brazil

    Benjamin Bedregal

  2. Departamento Automática y Computación, Universidad Publica de Navarra, Spain

    Humberto Bustince & Javier Fernandez

  3. Department of Applied Mathematics and Computer Science, Ghent University, Belgium

    Glad Deschrijver

  4. Department of Mathematics and Descriptive Geometry, Slovak University of Technology, Slovakia

    Radko Mesiar

Authors
  1. Benjamin Bedregal
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  2. Humberto Bustince
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  3. Javier Fernandez
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  4. Glad Deschrijver
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  5. Radko Mesiar
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Editor information

Editors and Affiliations

  1. Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Marburg, Germany

    Eyke Hüllermeier

  2. Department of Knowledge Processing and Language Engineering, Otto-von-Guericke University of Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany

    Rudolf Kruse

  3. Fakultät für Elektrotechnik und Informationstechnik, Technische Universität Dortmund, 44221, Dortmund, Germany

    Frank Hoffmann

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Bedregal, B., Bustince, H., Fernandez, J., Deschrijver, G., Mesiar, R. (2010). Atanassov’s Intuitionistic Contractive Fuzzy Negations. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Methods. IPMU 2010. Communications in Computer and Information Science, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14055-6_62

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  • DOI: https://doi.org/10.1007/978-3-642-14055-6_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14054-9

  • Online ISBN: 978-3-642-14055-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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