Abstract
We present an approach to learn fuzzy binary decision rules from ordinal temporal data where the task is to classify every instance at each point in time. We assume that one class is preferred to the other, e.g. the undesirable class must not be misclassified. Hence it is appealing to use the Variable Consistency Dominance-based Rough Set Approach (VC-DRSA) to exploit preference information about the problem. In this framework, the VC-DomLEM algorithm has been used to generate the minimal set of consistent rules. Every attribute is then fuzzified by first applying a crisp clustering to the rules’ antecedent thresholds and second using the cluster centroids as indicator for the overlap of neighboring trapezoidal normal membership functions. The widths of the neighboring fuzzy sets are finally tuned by an evolutionary algorithm trying to minimize the specificity of the current fuzzy rule base.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Błaszczyński, J., Słowiński, R., Szeląg, M.: Sequential covering rule induction algorithm for variable consistency rough set approaches. Information Sciences 181(5), 987–1002 (2011), doi:10.1016/j.ins.2010.10.030
Greco, S., Matarazzo, B., Słowiński, R., Stefanowski, J.: Variable Consistency Model of Dominance-Based Rough Sets Approach. In: Ziarko, W., Yao, Y. (eds.) RSCTC 2000. LNCS (LNAI), vol. 2005, pp. 170–181. Springer, Heidelberg (2001)
Greco, S., Matarazzo, B., Słowiński, R.: Dominance-based rough set approach to decision under uncertainty and time preference. Annals of Operations Research 176(1), 41–75 (2010), doi:10.1007/s10479-009-0566-8
Ishibuchi, H., Nakashima, T., Murata, T.: Three-objective genetics-based machine learning for linguistic rule extraction. Information Sciences 136(1-4), 109–133 (2001), doi:10.1016/S0020-0255(01)00144-X
MacQueen, J.: Some methods for classification and analysis of multivariate observations. In: Cam, L.M.L., Neyman, J. (eds.) Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, vol. 1, pp. 281–297. University of California Press, Berkeley (1967)
Moewes, C.: Application of support vector machines to discriminate vehicle crash events. Diploma thesis, School of Computer Science, University of Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany (2007)
Moewes, C., Kruse, R.: Unification of fuzzy SVMs and rule extraction methods through imprecise domain knowledge. In: Verdegay, J.L., Magdalena, L., Ojeda-Aciego, M. (eds.) Proceedings of the International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2008), Torremolinos (Málaga), pp. 1527–1534 (2008)
Moewes, C., Kruse, R.: Zuordnen von linguistischen Ausdrücken zu Motiven in Zeitreihen (Matching of Labeled Terms to Time Series Motifs). Automatisierungstechnik 57(3), 146–154 (2009), doi:10.1524/auto.2009.0760
Moewes, C., Kruse, R.: On the usefulness of fuzzy SVMs and the extraction of fuzzy rules from SVMs. In: Galichet, S., Montero, J., Mauris, G. (eds.) Proceedings of the 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2011) and LFA-2011, Advances in Intelligent Systems Research, vol. 17, pp. 943–948. Atlantis Press, Amsterdam (2011), doi:10.2991/eusflat.2011.46
Moewes, C., Otte, C., Kruse, R.: Tackling Multiple-Instance Problems in Safety-Related Domains by Quasilinear SVM. In: Dubois, D., Lubiano, M.A., Prade, H., Ángeles Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds.) Soft Methods for Handling Variability and Imprecision. AISC, vol. 48, pp. 409–416. Springer, Heidelberg (2008)
Moewes, C., Otte, C., Kruse, R.: Simple machine learning approaches to safety-related systems. In: De, R.K., Mandal, D.P., Ghosh, A. (eds.) Machine Interpretation of Patterns: Image Analysis and Data Mining. Statistical Science and Interdisciplinary Research, vol. 11, pp. 231–249. World Scientific Publishing Co. Inc., Hackensack (2010)
Nauck, D., Kruse, R.: A neuro-fuzzy method to learn fuzzy classification rules from data. Fuzzy Sets and Systems 89(3), 277–288 (1997), doi:10.1016/S0165-0114(97)00009-2
Nusser, S.: Robust learning in safety-related domains: Machine learning methods for solving safety-related application problems. PhD thesis, School of Computer Science, University of Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany (2009)
Pawlak, Z.: Rough Sets: Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Norwell (1991)
Schröder, M., Petersen, R., Klawonn, F., Kruse, R.: Two paradigms of automotive fuzzy logic applications. In: Jamshidi, M., Titli, A., Zadeh, L., Boverie, S. (eds.) Applications of Fuzzy Logic: Towards High Machine Intelligence Quotient Systems. Environmental and Intelligent Manufacturing Systems Series, vol. 9, pp. 153–174. Prentice-Hall, Inc., Upper Saddle River (1997)
Wang, J., Lee, C.: Self-adaptive neuro-fuzzy inference systems for classification applications. IEEE Transactions on Fuzzy Systems 10(6), 790–802 (2002), doi:10.1109/TFUZZ.2002.805880
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Moewes, C., Kruse, R. (2013). Evolutionary Fuzzy Rules for Ordinal Binary Classification with Monotonicity Constraints. In: Yager, R., Abbasov, A., Reformat, M., Shahbazova, S. (eds) Soft Computing: State of the Art Theory and Novel Applications. Studies in Fuzziness and Soft Computing, vol 291. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34922-5_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-34922-5_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34921-8
Online ISBN: 978-3-642-34922-5
eBook Packages: EngineeringEngineering (R0)