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Sequential Classification Via Fuzzy Relations

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Artificial Intelligence and Soft Computing – ICAISC 2006 (ICAISC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4029))

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Abstract

In this paper there are developed and evaluated methods for performing sequential classification (SC) using fuzzy relations defined on product of class set and fuzzified feature space. First on the base of learning set, fuzzy relation in the proposed method is determined as a solution of appropriate optimization problem. Next, this relation in the form of matrix of membership degrees is used at successive instants of sequential decision process. Three various algorithms of SC which differ both in the sets of input data and procedure are described. Proposed algorithms were practically applied to the computer-aided recognition of patient’s acid-base equilibrium states where as an optimization procedure the real-coded genetic algorithm (RGA) was used.

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References

  1. Toussaint, G.: The Use of Context in Pattern Recognition. Pattern Recognition 10, 189–204 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  2. Kurzynski, M.: Benchmark of Approaches to Sequential Diagnosis. In: Lisboa, P., Ifeachor, J., Szczepaniak, P. (eds.) Perspectives in Neural Computing, pp. 129–140. Springer, Heidelberg (1998)

    Google Scholar 

  3. Kurzynski, M.: Multistage Diagnosis of Myocardial Infraction Using a Fuzzy Relation. In: Rutkowski, L., Siekmann, J.H., Tadeusiewicz, R., Zadeh, L.A. (eds.) ICAISC 2004. LNCS (LNAI), vol. 3070, pp. 1014–1019. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  4. Zolnierek, A.: The Empirical Study of the Naive Bayes Classifier in the Case of Markov Chain Recognition Task. In: Kurzynski, M., Wozniak, M. (eds.) Computer Recognition Systems CORES 2005, pp. 329–336. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Devroye, L., Gyorfi, P., Lugossi, G.: A Probabilistic Theory of Pattern Recognition. Springer, Heidelberg (1996)

    MATH  Google Scholar 

  6. Duda, R., Hart, P., Stork, D.: Pattern Classification. John Wiley and Sons, New York (2001)

    MATH  Google Scholar 

  7. Czogala, E., Leski, J.: Fuzzy and Neuro-Fuzzy Intelligent Systems. Springer, Heidelberg (2000)

    MATH  Google Scholar 

  8. Michalewicz, Z.: Genetic Algorithms + Data Structure = Evolution Programs. Springer, New York (1996)

    Google Scholar 

  9. Goldberg, D.: Genetic Algorithms in Search, Optimization and Machine Learning. Adison-Wesley, New York (1989)

    MATH  Google Scholar 

  10. Herrera, F., Lozano, M.: Gradual Distributed Real-Coded Genetic Algorithm. IEEE Trans. on Evolutionary Computing 4, 43–63 (2000)

    Article  Google Scholar 

  11. Pedrycz, W.: Fuzzy Sets in Pattern Recognition: Methodology and Methods. Pattern Recognition 23, 121–146 (1990)

    Article  Google Scholar 

  12. Pedrycz, W.: Genetic Algorithms for Learning in Fuzzy Relation Structures. Fuzzy Sets Syst. 69, 37–45 (1995)

    Article  Google Scholar 

  13. Ray, K., Dinda, T.: Pattern Classification Using Fuzzy Relational Calculus. IEEE Trans. SMC 33, 1–16 (2003)

    Google Scholar 

  14. Dinola, A., Pedrycz, W., Sessa, S.: Fuzzy Relation Equations Theory as a Basis of Fuzzy Modelling: An Overview. Fuzzy Sets Syst. 40, 415–429 (1991)

    Article  MathSciNet  Google Scholar 

  15. Ovchinnikov, S., Riera, T.: On Fuzzy Classifications. Fuzzy Sets Syst. 49, 119–132 (1992)

    Article  Google Scholar 

  16. Gottwald, S.: Approximately Solving Fuzzy Relation Equations: Some Mathematical Results and Some Heuristic Proposals. Fuzzy Sets Syst. 66, 175–193 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  17. Setnes, M., Babuska, R.: Fuzzy Relational Classifier Trained by Fuzzy Clustering. IEEE Trans. on SMC 29, 619–625 (1999)

    Google Scholar 

  18. Acharya, U., et al.: Classification of Heart Rate Data Using Artificial Neural Network and Fuzzy Equivalence Relation. Pattern Recognition 36, 61–68 (2002)

    Google Scholar 

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Kurzynski, M., Zolnierek, A. (2006). Sequential Classification Via Fuzzy Relations. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds) Artificial Intelligence and Soft Computing – ICAISC 2006. ICAISC 2006. Lecture Notes in Computer Science(), vol 4029. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11785231_65

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  • DOI: https://doi.org/10.1007/11785231_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-35748-3

  • Online ISBN: 978-3-540-35750-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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