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International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems

IPMU 2016: Information Processing and Management of Uncertainty in Knowledge-Based Systems pp 65–77Cite as

Inclusion-Exclusion Integral and t-norm Based Data Analysis Model Construction

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 610))

Abstract

A data analysis model using the inclusion-exclusion integral and a new construction method of a model utilizing t-norms are proposed. This model is based on the integral with respect to the nonadditive measure and is constructed in three steps of specifications of monotone functions, t-norm and of monotone measures. The model has good description ability and can be applied flexibly to real problems. Applying this model to the data set of a multiple criteria decision making problem, the efficiency of the model is verified by comparing it with the classical linear regression model and with the Choquet integral model.

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Notes

  1. 1.

    http://archive.ics.uci.edu/ml/.

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Acknowledgment

This work was supported by JSPS KAKENHI Grant Number 50271119.

Author information

Authors and Affiliations

  1. Kyushu Institute of Technology, 680-2 Kawazu, Iizuka, Fukuoka, 820-8502, Japan

    Aoi Honda

  2. Fuzzy Logic Systems Institute, 680-41 Kawazu, Iizuka, Fukuoka, 820-0067, Japan

    Yoshiaki Okazaki

Authors
  1. Aoi Honda
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  2. Yoshiaki Okazaki
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Corresponding author

Correspondence to Aoi Honda .

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

    Ronald R. Yager

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© 2016 Springer International Publishing Switzerland

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Honda, A., Okazaki, Y. (2016). Inclusion-Exclusion Integral and t-norm Based Data Analysis Model Construction. 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 610. Springer, Cham. https://doi.org/10.1007/978-3-319-40596-4_7

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  • DOI: https://doi.org/10.1007/978-3-319-40596-4_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40595-7

  • Online ISBN: 978-3-319-40596-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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