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A Linguistic Quantifier Based Aggregation for a Human Consistent Summarization of Time Series

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Soft Methods for Integrated Uncertainty Modelling

Part of the book series: Advances in Soft Computing ((AINSC,volume 37))

Abstract

Dynamics, or variability over time, is crucial in virtually all real world processes. Among many formal approaches to the description of dynamic behavior is the use of time series, notably those composed of a sequence of real numbers that represent how values of a quantity, variable, etc. evolve over time. Time series are then used for many diverse purposes exemplified by decision making, prediction, etc. However, in all these situations first we have to grasp the very meaning of a particular time series in the sense of what is going on with the quantity or variable whose values it represents.

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References

  1. J.F.Baldwin, T.P.Martin, J.M.Rossiter (1998). Time Series Modelling and Prediction using Fuzzy Trend Information. In Proceedings of Fifth International Conference on Soft Computing and Information/Intelligent Systems, 499–502.

    Google Scholar 

  2. I. Batyrshin (2002). On Granular Derivatives and the Solution of a Granular Initial Value Problem. In International Journal of Applied Mathematics and Computer Science, 12(3): 403–410.

    MATH  Google Scholar 

  3. J. Colomer, J. Melendez, J. L. de la Rosa, and J. Augilar. A qualitative/quantitative representation of signals for supervision of continuous systems. In Proceedings of the European Control Conference -ECC97, Brussels, 1997.

    Google Scholar 

  4. J. Kacprzyk and R.R. Yager (2001). Linguistic summaries of data using fuzzy logic. In International Journal of General Systems, 30:33–154.

    Article  MathSciNet  Google Scholar 

  5. J. Kacprzyk, R.R. Yager and S. Zadrożny (2000). A fuzzy logic based approach to linguistic summaries of databases. In International Journal of Applied Mathematics and Computer Science, 10: 813–834.

    MATH  Google Scholar 

  6. L.A. Zadeh and J. Kacprzyk, Eds. (1999) Computing with Words in Information/Intelligent Systems. Part 1. Foundations, Part 2. Applications, Springer-Verlag, Heidelberg and New York.

    Google Scholar 

  7. J. Kacprzyk and S. Zadrożny (1995). FQUERY for Access: fuzzy querying for a Windows-based DBMS. In P. Bosc and J. Kacprzyk (Eds.) Fuzziness in Database Management Systems, Springer-Verlag, Heidelberg, 415–433.

    Google Scholar 

  8. J. Kacprzyk and S. Zadrożny (1999). The paradigm of computing with words in intelligent database querying. In L.A. Zadeh and J. Kacprzyk (Eds.) Computing with Words in Information/Intelligent Systems. Part 2. Foundations, Springer-Verlag, Heidelberg and New York, 382–398.

    Google Scholar 

  9. J. Kacprzyk, S. Zadrożny (2005). Linguistic database summaries and their protoforms: toward natural language based knowledge discovery tools. In Information Sciences 173: 281–304.

    Article  MathSciNet  Google Scholar 

  10. J. Kacprzyk, S. Zadrożny (2005). Fuzzy linguistic data summaries as a human consistent, user adaptable solution to data mining. In B. Gabrys, K. Leiviska, J. Strackeljan (Eds.) Do Smart Adaptive Systems Exist? Springer, Berlin Heidelberg New York, 321–339.

    Chapter  Google Scholar 

  11. J. Sklansky and V. Gonzalez (1980) Fast polygonal approximation of digitized curves. In Pattern Recognition 12(5): 327–331.

    Article  Google Scholar 

  12. R.R. Yager (1982). A new approach to the summarization of data. Information Sciences, 28: 69–86.

    Article  MATH  MathSciNet  Google Scholar 

  13. L.A. Zadeh (1983). A computational approach to fuzzy quantifiers in natural languages. In Computers and Mathematics with Applications, 9: 149–184.

    Article  MATH  MathSciNet  Google Scholar 

  14. L.A. Zadeh (2002). A prototype-centered approach to adding deduction capabilities to search engines –the concept of a protoform. BISC Seminar, University of California, Berkeley.

    Google Scholar 

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Kacprzyk, J., Wilbik, A., Zadrożny, S. (2006). A Linguistic Quantifier Based Aggregation for a Human Consistent Summarization of Time Series. In: Lawry, J., et al. Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34777-1_23

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  • DOI: https://doi.org/10.1007/3-540-34777-1_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34776-7

  • Online ISBN: 978-3-540-34777-4

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