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Unbalanced OWA Operators for Atanassov Intuitionistic Fuzzy Sets

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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 611))

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Abstract

In this work we introduce a new class of OWA operators for Atanassov intuitionistic fuzzy sets which distinguishes between the weights for the membership degree and the weights for the nonmembership degree; we call these operators Unbalanced Atanassov Intuitionistic OWA operators. We also study under which conditions these operators are aggregation functions with respect to the Atanassov intuitionistic admissible linear orders. Finally, we apply these aggregation functions in an illustrative example of a decision making problem.

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Acknowledgments

The work has been supported by projects TIN2013-40765-P of the Spanish Ministry of Science and the Research Services of the Universidad Publica de Navarra.

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Authors and Affiliations

  1. Departamento de Automatica y Computacion, Universidad Publica de Navarra, Campus Arrosadia s/n, 31006, Pamplona, Spain

    Laura De Miguel, Edurne Barrenechea, Miguel Pagola, Aranzazu Jurio, Jose Sanz, Mikel Elkano & Humberto Bustince

  2. Institute of Smart Cities, Universidad Publica de Navarra, Campus Arrosadia s/n, 31006, Pamplona, Spain

    Laura De Miguel, Edurne Barrenechea, Miguel Pagola, Aranzazu Jurio, Jose Sanz, Mikel Elkano & Humberto Bustince

Authors
  1. Laura De Miguel
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  2. Edurne Barrenechea
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  3. Miguel Pagola
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  4. Aranzazu Jurio
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  5. Jose Sanz
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  6. Mikel Elkano
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  7. Humberto Bustince
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Corresponding author

Correspondence to Laura De Miguel .

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

    Ronald R. Yager

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© 2016 Springer International Publishing Switzerland

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De Miguel, L. et al. (2016). Unbalanced OWA Operators for Atanassov Intuitionistic Fuzzy Sets. 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 611. Springer, Cham. https://doi.org/10.1007/978-3-319-40581-0_35

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  • DOI: https://doi.org/10.1007/978-3-319-40581-0_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40580-3

  • Online ISBN: 978-3-319-40581-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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