On linguistic summarization of numerical time series using fuzzy logic with linguistic quantifiers

J. Kacprzyk, A. Wilbik, S. Zadrozny

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

5 Citations (Scopus)

Abstract

We consider an extension to the linguistic summarization of time series data proposed in our previous papers, in particular by introducing a new protoform of the duration based summaries, that is more intuitively appealing. We summarize trends identified here with straight segments of a piecewise linear approximation of time series. Then we employ, as a set of features, the duration, dynamics of change and variability, and assume different, human consistent granulations of their values. The problem boils down to a linguistic quantifier driven aggregation of partial trends that is done via the classic Zadeh’s calculus of linguistically quantified propositions. We present a modification of this calculus using the new protoform of a duration based linguistic summary. We show an application to linguistic summarization of time series data on daily quotations of an investment fund over an eight year period, accounting for the absolute performance of the fund.
Original languageEnglish
Title of host publicationIntelligent techniques and tools for novel system architectures
EditorsP. Chountas, I. Petrounias, J. Kacprzyk
Place of PublicationBerlin
PublisherSpringer
Chapter10
Pages169-184
Number of pages16
ISBN (Electronic)978-3-540-77623-9
ISBN (Print)978-3-540-77621-5
DOIs
Publication statusPublished - 2008
Externally publishedYes

Publication series

NameStudies in Computational Intelligence (SCI)
Volume109

Fingerprint

Linguistics
Fuzzy logic
Time series
Granulation
Agglomeration

Cite this

Kacprzyk, J., Wilbik, A., & Zadrozny, S. (2008). On linguistic summarization of numerical time series using fuzzy logic with linguistic quantifiers. In P. Chountas, I. Petrounias, & J. Kacprzyk (Eds.), Intelligent techniques and tools for novel system architectures (pp. 169-184). (Studies in Computational Intelligence (SCI); Vol. 109). Berlin: Springer. https://doi.org/10.1007/978-3-540-77623-9_10
Kacprzyk, J. ; Wilbik, A. ; Zadrozny, S. / On linguistic summarization of numerical time series using fuzzy logic with linguistic quantifiers. Intelligent techniques and tools for novel system architectures. editor / P. Chountas ; I. Petrounias ; J. Kacprzyk. Berlin : Springer, 2008. pp. 169-184 (Studies in Computational Intelligence (SCI)).
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Kacprzyk, J, Wilbik, A & Zadrozny, S 2008, On linguistic summarization of numerical time series using fuzzy logic with linguistic quantifiers. in P Chountas, I Petrounias & J Kacprzyk (eds), Intelligent techniques and tools for novel system architectures. Studies in Computational Intelligence (SCI), vol. 109, Springer, Berlin, pp. 169-184. https://doi.org/10.1007/978-3-540-77623-9_10

On linguistic summarization of numerical time series using fuzzy logic with linguistic quantifiers. / Kacprzyk, J.; Wilbik, A.; Zadrozny, S.

Intelligent techniques and tools for novel system architectures. ed. / P. Chountas; I. Petrounias; J. Kacprzyk. Berlin : Springer, 2008. p. 169-184 (Studies in Computational Intelligence (SCI); Vol. 109).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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Kacprzyk J, Wilbik A, Zadrozny S. On linguistic summarization of numerical time series using fuzzy logic with linguistic quantifiers. In Chountas P, Petrounias I, Kacprzyk J, editors, Intelligent techniques and tools for novel system architectures. Berlin: Springer. 2008. p. 169-184. (Studies in Computational Intelligence (SCI)). https://doi.org/10.1007/978-3-540-77623-9_10