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Linguistic Summaries of Time Series: On Some Additional Data Independent Quality Criteria

  • Chapter
Foundations of Reasoning under Uncertainty

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 249))

Abstract

We further extend our approach on the linguistic summarization of time series (cf. Kacprzyk, Wilbik and Zadrożny) in which an approach based on a calculus of linguistically quantified propositions is employed, and the essence of the problem is equated with a linguistic quantifier driven aggregation of partial scores (trends). Basically, we present here some reformulation and extension of our works mainly by including a more complex evaluation of the linguistic summaries obtained. In addition to the basic criterion of a degree of truth (validity), we also use here as the additional criteria a degree of imprecision, specificity, fuzziness and focus. However, for simplicity and tractability, we use in the first shot the degrees of truth (validity) and focus, which usually reduce the space of possible linguistic summaries to a considerable extent, and then - for a usually much smaller set of linguistic summaries obtained - we use the remaining three degrees of imprecision, specificity and fuzziness for making a final choice of appropriate linguistic summaries. We show an application to the absolute performance type analysis of daily quotations of an investment fund.

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Author information

Authors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447, Warsaw, Poland

    Janusz Kacprzyk

  2. PIAP – Industrial Research Institute for Automation and Measurements, Al. Jerozolimskie 202, 02-486, Warsaw, Poland

    Janusz Kacprzyk

  3. Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447, Warsaw, Poland

    Anna Wilbik

Authors
  1. Janusz Kacprzyk
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  2. Anna Wilbik
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Editor information

Editors and Affiliations

  1. LIP6, Université Pierre et Marie Curie, 104 avenue du président Kennedy, 75016, Paris, France

    Bernadette Bouchon-Meunier

  2. European Centre for Soft Computing, Edificio Científico-Tecnológico., 3â Planta., C Gonzalo Gutiérrez Quirós S/N, 33600, Mieres, Asturias, Spain

    Luis Magdalena

  3. Computer Science Faculty, University of Málaga, Blv Louis Pasteur s/n, 29071, Málaga, Spain

    Manuel Ojeda-Aciego

  4. Computer Science Faculty, University of Granada, C/Periodista Daniel, Saucedo Aranda s/n, 18071, Granada, Spain

    José-Luis Verdegay

  5. Machine Intelligence Institute, Iona College, 10801, New Rochelle, NY, USA

    Ronald R. Yager

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Kacprzyk, J., Wilbik, A. (2010). Linguistic Summaries of Time Series: On Some Additional Data Independent Quality Criteria. In: Bouchon-Meunier, B., Magdalena, L., Ojeda-Aciego, M., Verdegay, JL., Yager, R.R. (eds) Foundations of Reasoning under Uncertainty. Studies in Fuzziness and Soft Computing, vol 249. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10728-3_8

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  • DOI: https://doi.org/10.1007/978-3-642-10728-3_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10726-9

  • Online ISBN: 978-3-642-10728-3

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