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First Approach of Type-2 Fuzzy Sets via Fusion Operators

  • Conference paper
Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 444))

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Abstract

In this work we introduce the concept of a fusion operator for type-2 fuzzy sets as a mapping that takes m functions from [0,1] to [0,1] and brings back a new function of the same type. We study in depth the properties of pointwise fusion operators and representable fusion operators. Finally, we study the union and intersection of type-2 fuzzy sets and we analyze when these functions are pointwise and representable fusion operators.

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad Pública de Navarra, Campus Arrosadía s/n, 31006, Pamplona, Spain

    María Jesús Campión & Esteban Induráin

  2. Departamento de Análisis Económico, Facultad de Ciencias Económicas y Empresariales, Universidad de Zaragoza, Gran Vía 2-4, 50005, Zaragoza, Spain

    Juan Carlos Candeal

  3. Departamento de Automática y Computación, Universidad Pública de Navarra, Campus Arrosadía s/n, 31006, Pamplona, Spain

    Laura De Miguel & Daniel Paternain

Authors
  1. María Jesús Campión
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  2. Juan Carlos Candeal
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  3. Laura De Miguel
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  4. Esteban Induráin
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  5. Daniel Paternain
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Editor information

Editors and Affiliations

  1. University Montpellier 2, LIRMM - CNRS UMR 5506, 161, Rue Ada, 34392, Montpellier Cedex 5, France

    Anne Laurent

  2. Institute for Human Factors and Technology Management, IAT, University of Stuttgart, Nobelstraße 12, 70569, Stuttgart, Germany

    Oliver Strauss

  3. LIP6, UPMC Univ. Paris 06, CNRS UMR 7606, F-75005, Paris, France

    Bernadette Bouchon-Meunier

  4. Dept. of Information Systems, Iona College, 710 North Ave, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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© 2014 Springer International Publishing Switzerland

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Campión, M.J., Candeal, J.C., De Miguel, L., Induráin, E., Paternain, D. (2014). First Approach of Type-2 Fuzzy Sets via Fusion Operators. In: Laurent, A., Strauss, O., Bouchon-Meunier, B., Yager, R.R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2014. Communications in Computer and Information Science, vol 444. Springer, Cham. https://doi.org/10.1007/978-3-319-08852-5_37

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  • DOI: https://doi.org/10.1007/978-3-319-08852-5_37

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08851-8

  • Online ISBN: 978-3-319-08852-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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