Abstract
Optimal discretization of real valued attributes in rough set is a problem of NP-complete. To resolve this problem, a modified quantum genetic algorithm (MQGA) and a new parametric configuration scheme for the fitness function are proposed in this paper. In MQGA, a novel technique with locally hierarchical search ability is introduced to speed up the convergence of QGA. With this configuration scheme, it is convenient to distinguish the appropriate solutions that partition the new decision table consistently from all the results. Experiments on dataset of Iris have demonstrated that the proposed MQGA is more preferable compared with the traditional GA-based method and QGA based method in terms of execution time and ability to obtain the optimal solution.
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
Dubois, D., Prade, H.F.: Rough sets: Theoretical Aspects of Reasoning about Data, by Z. Pawlak. Kluwer, Dordrecht (1991)
Zdzislaw, P., Jerzy, G., Roman, S.: Rough Sets. Communications of the ACM 38(6) (June 1995)
Nguyen, H.S., Skowron, A.: Quantization of Real Value Attributes, Rough Set and Boolean Reasoning Approaches. In: Proceedings of the 2nd Joint Annual Conference on Information Science, Wrightsville Beach, NC, pp. 34–37 (1995)
Hou, L.J., Wang, G.Y., Nie, N.: Discretization in Rough Set Theory. Computer Science, 89–94 (2000)
Dai, J.H., Li, Y.X.: Study on Discretization Based on Rough Set Theory. In: Proceedings of the 1st International Conference on Machine Learning and Cybernetics, Beijing, pp. 1371–1373 (2002)
Tay, E.H., Shen, L.: A Modified Chi2 Algorithm for Discretization. IEEE Transactions on Knowledge and Data Engineering, pp. 666–670 (2002)
Li, M., Wu, C.D., Han, Z.H.: A Hierarchial Clustering Method for Attribute Discretization in Rough Set Theory. In: Proceedings of the 3rd International Conference on Machine Learning and Cybernatics, Shanghai, pp. 3650–3654 (2004)
Xie, H., Cheng, H.Z., Niu, D.X.: Discretization of Continuous Attributes in Rough Set Theory Based on Information Entropy. Chinese Journal of Computers 28(9), 1571–1574 (2005)
Han, K.H., Kim, J.H.: Genetic Quantum Algorithm and Its Application to Combinatorial Optimization Problem [A]. In: Proceedings of the 2000 IEEE Congress on Evolutionary Computation [C], pp. 1354–1360 (2000)
Nguyen, H.S.: Dicretization of Real Value Attributes: Boolean Reasoning Approach [Ph.D Dissertaion]. Warsaw University, Polland (1997)
Dai, J.H., Li, Y.X.: The Application of Genetic Algorithm for Discretization of Decision System. Microelectronics & Computer 20(2), 19–21 (2003)
Ge-Xiang, Z., Wei-Dong, J., Lai-Zhao, H.: Feature Selection Algorithm Based Quantum Genetic Algorithm. Control Theory & Applications 22(5), 810–813 (2005)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Chen, S., Yuan, X. (2008). Study on Discretization in Rough Set Via Modified Quantum Genetic Algorithm. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2008. Lecture Notes in Computer Science(), vol 5227. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85984-0_37
Download citation
DOI: https://doi.org/10.1007/978-3-540-85984-0_37
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85983-3
Online ISBN: 978-3-540-85984-0
eBook Packages: Computer ScienceComputer Science (R0)