Abstract
The purpose of this paper is to propose a new, human consistent way to capture the very essence of a dynamic behavior of some sequences of numerical data. Instead of using traditional, notably statistical type analyses, we propose the use of fuzzy logic based linguistic summaries of data(bases) in the sense of Yager, later developed by Kacprzyk and Yager, and Kacprzyk, Yager and Zadrożny. Our main interest is in the summarization of trends characterized by: dynamics of change, duration and variability. To define the dynamic of change of the time series we propose to use for a preprocessing of data a SOM (self-organizing maps) learned with a LVQ (Learning Vector Quantization) algorithm, and then our approach for linguistic summaries of trends.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
German, E., Ece, D.G., Gerek, O.N.: Self Organizing Map (SOM) Approach for Classification of Power Quality Events. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds.) ICANN 2005. LNCS, vol. 3696, pp. 403–408. Springer, Heidelberg (2005)
Kacprzyk, J., Yager, R.R.: Linguistic summaries of data using fuzzy logic. International Journal of General Systems 30, 33–154 (2001)
Kacprzyk, J., Yager, R.R., Zadrożny, S.: A fuzzy logic based approach to linguistic summaries of databases. International Journal of Applied Mathematics and Computer Science 10, 813–834 (2000)
Zadeh, L.A., Kacprzyk, J. (eds.): Computing with Words in Information/ Intelligent Systems. Part 1. Foundations, Part 2. Applications. Springer, Heidelberg (1999)
Kacprzyk, J., Zadrożny, S.: FQUERY for Access: fuzzy querying for a Windows-based DBMS. In: Bosc, P., Kacprzyk, J. (eds.) Fuzziness in Database Management Systems, pp. 415–433. Springer, Heidelberg (1995)
Kacprzyk, J., Zadrożny, S.: The paradigm of computing with words in intelligent database querying. In: Zadeh, L.A., Kacprzyk, J. (eds.) Computing with Words in Information/Intelligent Systems. Part 2. Foundations, pp. 382–398. Springer, Heidelberg (1999)
Kacprzyk, J., Zadrożny, S.: Linguistic database summaries and their protoforms: toward natural language based knowledge discovery tools. Information Sciences 173, 281–304 (2005)
Kacprzyk, J., Zadrożny, S.: Fuzzy linguistic data summaries as a human consistent, user adaptable solution to data mining. In: Gabrys, B., Leiviska, K., Strackeljan, J. (eds.) Do Smart Adaptive Systems Exist?, pp. 321–339. Springer, Heidelberg (2005)
Kacprzyk, J., Wilbik, A., Zadrożny, S.: Linguistic summarization of trends: a fuzzy logic based approach (2006) (in press)
Kohonen, T.: Self-Organizing Maps. Springer, Heidelberg (1995)
Kohonen, T.: The self-organizing map. Neurocomputing 21, 1–6 (1998)
Simon, G., Lee, J.A., Verleysen, M.: On the need of unfold preprocessing for time series clustering. In: 5th Workshop on Self-Organizing Maps, Paris, September 5-8, pp. 251–258 (2005)
Simon, G., Lendasse, A., Cottrell, M., Fort, J.-C., Verleysen, M.: Time series forecasting: Obtaining long term trends with self-organizing maps. Pattern Recognition Letters 26, 1795–1808 (2005)
Yager, R.R.: A new approach to the summarization of data. Information Sciences 28, 69–86 (1982)
Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Computers and Mathematics with Applications 9, 149–184 (1983)
Zadeh, L.A.: A prototype-centered approach to adding deduction capabilities to search engines – the concept of a protoform. In: BISC Seminar. University of California, Berkeley (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kacprzyk, J., Wilbik, A., Zadrożny, S. (2006). A Linguistic Approach to a Human-Consistent Summarization of Time Series Using a SOM Learned with a LVQ-Type Algorithm. In: Kollias, S., Stafylopatis, A., Duch, W., Oja, E. (eds) Artificial Neural Networks – ICANN 2006. ICANN 2006. Lecture Notes in Computer Science, vol 4132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11840930_18
Download citation
DOI: https://doi.org/10.1007/11840930_18
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-38871-5
Online ISBN: 978-3-540-38873-9
eBook Packages: Computer ScienceComputer Science (R0)