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Proceedings of the Conference of the European Society for Fuzzy Logic and Technology

International Workshop on Intuitionistic Fuzzy Sets and Generalized Nets

EUSFLAT 2017, IWIFSGN 2017: Advances in Fuzzy Logic and Technology 2017 pp 443–455Cite as

Analyzing the Behavior of Aggregation and Pre-aggregation Functions in Fuzzy Rule-Based Classification Systems with Data Complexity Measures

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 642))

Abstract

In our previous works, we have generalized the Choquet integral by replacing the product by t-norms and copula functions. This generalization has led to new theoretical results in the field of aggregations functions and it has allowed to define a new concept named pre-aggregation function. We applied this generalization in the fuzzy reasoning method of fuzzy rule-based classification systems with the aim of aggregating the information given by the fired rules so that global information associated with the classes of the problem can be derived. In these works, we have shown that this application is successful since it has allowed to enhance the behavior of a classical averaging aggregation operator like the maximum, which is used in the fuzzy reasoning method of the winning rule. In this contribution, we aim at studying whether there are characteristics of the datasets that allow one to know whether an aggregation function will work better then others or not.

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Notes

  1. 1.

    http://www.keel.es.

  2. 2.

    In this paper, a increasing (decreasing) function does not need to be strictly increasing (decreasing).

  3. 3.

    For more information See http://sci2s.ugr.es/DC-automatic-method.

  4. 4.

    http://www.keel.es.

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Acknowledgment

This work is supported by Brazilian National Counsel of Technological and Scientific Development CNPq (Proc. 233950/2014-1, 306970/2013-9, 307781/2016-0), by the Spanish Ministry of Science and Technology (under project TIN2016-77356-P (AEI/FEDER, UE)), by Caixa and Fundación Caja Navarra of Spain.

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Authors and Affiliations

  1. Department of Automation and Computing, Universidad Publica de Navarra, 31006, Pamplona, Spain

    Giancarlo Lucca, Jose Sanz & Humberto Bustince

  2. Institute of Smart Cities, Universidad Publica de Navarra, 31006, Pamplona, Spain

    Jose Sanz, Graçaliz P. Dimuro & Humberto Bustince

  3. Centro de Ciências Computacionais, Universidade Federal do Rio Grande, Rio Grande, Brazil

    Graçaliz P. Dimuro

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

    Benjamín Bedregal

Authors
  1. Giancarlo Lucca
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  2. Jose Sanz
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  3. Graçaliz P. Dimuro
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  4. Benjamín Bedregal
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  5. Humberto Bustince
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Corresponding author

Correspondence to Giancarlo Lucca .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Slawomir Zadrożny

  4. Department of Telecommunications and Information Processing, Bulgarian Academy of Sciences, Sofia, Bulgaria

    K. T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Lucca, G., Sanz, J., Dimuro, G.P., Bedregal, B., Bustince, H. (2018). Analyzing the Behavior of Aggregation and Pre-aggregation Functions in Fuzzy Rule-Based Classification Systems with Data Complexity Measures. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 642. Springer, Cham. https://doi.org/10.1007/978-3-319-66824-6_39

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  • DOI: https://doi.org/10.1007/978-3-319-66824-6_39

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66823-9

  • Online ISBN: 978-3-319-66824-6

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