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Finding Minimal Rough Set Reducts with Particle Swarm Optimization

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Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing (RSFDGrC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3641))

Abstract

We propose a new algorithm to find minimal rough set reducts by using Particle Swarm Optimization (PSO). Like Genetic Algorithm, PSO is also a type of evolutionary algorithm. But compared with GA, PSO does not need complex operators as crossover and mutation that GA does, it requires only primitive and simple mathematical operators, and is computationally inexpensive in terms of both memory and times. The experiments on some UCI data compare our algorithm with GA-based, and other deterministic rough set reduction algorithms. The results show that PSO is efficient to minimal rough set reduction.

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References

  1. Swiniarski, R.W., Skowron, A.: Rough set methods in feature selection and recognition. Pattern Recognition Letters 24, 833–849 (2003)

    Article  MATH  Google Scholar 

  2. Chouchoulas, A., Shen, Q.: Rough set-aided keyword reduction for text categorization. Applied Artificial Intelligence 15(9), 843–873 (2001)

    Article  Google Scholar 

  3. Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems. In: Swiniarski, R. (ed.) Intelligent Decision Support–Handbook of Applications and Advances of the Rough Sets Theory, pp. 311–362. Kluwer Academic Publishers, Dordrecht (1992)

    Google Scholar 

  4. Hu, X.: Knowledge discovery in databases: An attribute-oriented rough set approach. Ph.D thesis, Regina university (1995)

    Google Scholar 

  5. Wang, G.Y., et al.: Theoretical Study on Attribute Reduction of Rough Set Theory: Comparison of Algebra and Information Views. In: Proceedings of the Third IEEE International Conference on Cognitive Informatics (2004)

    Google Scholar 

  6. Wroblewski, J.: Finding minimal reducts using genetic algorithms. In: Proc. of the Second Annual Join Conference on Information Sciences, Wrightsville Beach, NC, September 28 - October 1, pp. 186–189 (1995)

    Google Scholar 

  7. Wroblewski, J.: Theoretical Foundations of Order-Based Genetic Algorithms. Fundamenta Informaticae 28(3-4), 423–430 (1996)

    MATH  MathSciNet  Google Scholar 

  8. Bazan, J., Nguyen, H.S., et al.: Rough set algorithms in classification problems. In: Polkowski, L., Lin, T.Y., Tsumoto, S. (eds.) Rough Set Methods and Applications: New Developments in Knowledge Discovery in Information Systems. Studies in Fuzziness and Soft Computing, vol. 56, pp. 49–88. Physica, Heidelberg (2000)

    Google Scholar 

  9. Bazan, J.: A Comparison of Dynamic and non-Dynamic Rough Set Methods for Extracting Laws from Decision Table. In: Polkowski, L., Skowron, A. (eds.) Rough Sets in Knowledge Discovery, pp. 321–365. Physica, Heidelberg (1998)

    Google Scholar 

  10. Slezak, D., Wroblewski, J.: Order based genetic algorithms for the search of approximate entropy reducts. In: Wang, G., Liu, Q., Yao, Y., Skowron, A., et al. (eds.) RSFDGrC 2003. LNCS (LNAI), vol. 2639, pp. 308–311. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  11. Stefanowski, J.: On rough set based approaches to induction of decision rules. In: Skowron, A., Polkowski, L. (eds.) Rough Sets in Knowledge Discovery, vol. 1, pp. 500–529. Physica, Heidelberg (1998)

    Google Scholar 

  12. Kennedy, J., Eberhart, R.: Particle Swarm Optimization. In: Proc. IEEE Int. Conf. on Neural Networks, Perth, pp. 1942–1948 (1995)

    Google Scholar 

  13. Kennedy, J., Spears, W.M.: Matching Algorithms to Problems: An Experimental Test of the Particle Swarm and Some Genetic Algorithms on the Multimodal Problem Generator. In: Proceedings of the IEEE Int’l Conference on Evolutionary Computation (1998)

    Google Scholar 

  14. Shi, Y., Eberhart, R.: A modified particle swarm optimizer. In: Proc. IEEE Int. Conf. On Evolutionary Computation, Anchorage, AK, USA, pp. 69–73 (1998)

    Google Scholar 

  15. Eberhart, R., Shi, Y.: Particle swarm optimization: Developments, applications and resources. In: Proc. IEEE Int. Conf. On Evolutionary Computation, Seoul, pp. 81–86 (2001)

    Google Scholar 

  16. Blake, C., Keogh, E., et al.: UCI repository of machine learning databases. Tech. rep. Department of Information and Computer Science, University of California, Irvine, CA (1998), http://www.ics.uci.edu/mlearn/MLRepository.htm

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© 2005 Springer-Verlag Berlin Heidelberg

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Wang, X., Yang, J., Peng, N., Teng, X. (2005). Finding Minimal Rough Set Reducts with Particle Swarm Optimization. In: Ślęzak, D., Wang, G., Szczuka, M., Düntsch, I., Yao, Y. (eds) Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing. RSFDGrC 2005. Lecture Notes in Computer Science(), vol 3641. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11548669_47

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  • DOI: https://doi.org/10.1007/11548669_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28653-0

  • Online ISBN: 978-3-540-31825-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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