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A New Proposal of Aggregation Functions: The Linguistic Summary

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2715))

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Abstract

This paper presents a new way of giving the summary of a numerical attribute involved in a fuzzy query. It is based on the idea of offering a linguistic interpretation, therefore we propose to use a flat fuzzy number as summary. To obtain it, we optimize any index which measures the relation between the fuzzy bag (which is the answer to the fuzzy query) and the fuzzy number. Several indices should be considered: some of them are based on linguistic quantified sentences, other ones are founded on divergence measures. The method can be also used to summarize other related fuzzy sets such as fuzzy average, maximum, minimum etc.

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Author information

Authors and Affiliations

  1. Departamento de Lenguajes y Computación, Universidad de Almería, Camino de Sacramento s/n, 01071, Almería, Spain

    Ignacio Blanco

  2. Depto. de Ciencias de la Computación e I.A., E.T.S.I de Informática, Universidad de Granada, Periodista Daniel Saucedo Aranda s/n, 18071, Granada, Spain

    Daniel Sánchez, José M. Serrano & María A. Vila

Authors
  1. Ignacio Blanco
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  2. Daniel Sánchez
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  3. José M. Serrano
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  4. María A. Vila
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Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Taner Bilgiç

  2. Dept. of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, 9000, Gent, Belgium

    Bernard De Baets

  3. Department of Electrical and Electronics Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Okyay Kaynak

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© 2003 Springer-Verlag Berlin Heidelberg

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Blanco, I., Sánchez, D., Serrano, J.M., Vila, M.A. (2003). A New Proposal of Aggregation Functions: The Linguistic Summary. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_14

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  • DOI: https://doi.org/10.1007/3-540-44967-1_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40383-8

  • Online ISBN: 978-3-540-44967-6

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