Abstract
Multi-knowledge extraction is significant for many real-world applications. The nature inspired population-based reduction approaches are attractive to find multiple reducts in the decision systems, which could be applied to generate multi-knowledge and to improve decision accuracy. In this Chapter, we introduce two nature inspired population-based computational optimization techniques namely Particle Swarm Optimization (PSO) and Genetic Algorithm (GA) for rough set reduction and multi-knowledge extraction. A Multi-Swarm Synergetic Optimization (MSSO) algorithm is presented for rough set reduction and multi-knowledge extraction. In the MSSO approach, different individuals encodes different reducts. The proposed approach discovers the best feature combinations in an efficient way to observe the change of positive region as the particles proceed throughout the search space. We also attempt to theoretically prove that the multi-swarm synergetic optimization algorithm converges with a probability of 1 towards the global optimal. The performance of the proposed approach is evaluated and compared with Standard Particle Swarm Optimization (SPSO) and Genetic Algorithms (GA). Empirical results illustrate that the approach can be applied for multiple reduct problems and multi-knowledge extraction very effectively.
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References
Pawlak, Z.: Rough Sets. International Journal of Computer and Information Sciences 11, 341–356 (1982)
Pawlak, Z.: Rough Sets: Present State and The Future. Foundations of Computing and Decision Sciences 18, 157–166 (1993)
Pawlak, Z.: Rough Sets and Intelligent Data Analysis. Information Sciences 147, 1–12 (2002)
Kusiak, A.: Rough Set Theory: A Data Mining Tool for Semiconductor Manufacturing. IEEE Transactions on Electronics Packaging Manufacturing 24, 44–50 (2001)
Shang, C., Shen, Q.: Rough Feature Selection for Neural Network Based Image Classification. International Journal of Image and Graphics 2, 541–555 (2002)
Tay, F.E.H.: Economic And Financial Prediction Using Rough Sets Model. European Journal of Operational Research 141, 641–659 (2002)
Świniarski, R.W., Skowron, A.: Rough Set Methods in Feature Selection and Recognition. Pattern Recognition Letters 24, 833–849 (2003)
Beaubouef, T., Ladner, R., Petry, F.: Rough Set Spatial Data Modeling for Data Mining. International Journal of Intelligent Systems 19, 567–584 (2004)
Shen, L., Tay, F.E.H.: Tay Applying Rough Sets to Market Timing Decisions. Decision Support Systems 37, 583–597 (2004)
Gupta, K.M., Moore, P.G., Aha, D.W., Pal, S.K.: Rough Set Feature Selection Methods for Case-Based Categorization of Text Documents. In: Pal, S.K., Bandyopadhyay, S., Biswas, S. (eds.) PReMI 2005. LNCS, vol. 3776, pp. 792–798. Springer, Heidelberg (2005)
Kennedy, J., Eberhart, R.: Swarm Intelligence. Morgan Kaufmann Publishers, San Francisco (2001)
Clerc, M., Kennedy, J.: The Particle Swarm-Explosion, Stability, and Convergence in a Multidimensional Complex Space. IEEE Transactions on Evolutionary Computation 6, 58–73 (2002)
Clerc, M.: Particle Swarm Optimization. ISTE Publishing Company, London (2006)
Liu, H., Abraham, A., Clerc, M.: Chaotic Dynamic Characteristics in Swarm Intelligence. Applied Soft Computing Journal 7, 1019–1026 (2007)
Parsopoulos, K.E., Vrahatis, M.N.: Recent approaches to global optimization problems through particle swarm optimization. Natural Computing 1, 235–306 (2002)
Abraham, A., Guo, H., Liu, H.: Swarm Intelligence: Foundations, Perspectives and Applications. In: Nedjah, N., Mourelle, L. (eds.) Swarm Intelligent Systems. Studies in Computational Intelligence, pp. 3–25. Springer, Germany (2006)
Salman, A., Ahmad, I., Al-Madani, S.: Particle Swarm Optimization for Task Assignment Problem. Microprocessors and Microsystems 26, 363–371 (2002)
Sousa, T., Silva, A., Neves, A.: Particle Swarm Based Data Mining Algorithms for Classification Tasks. Parallel Computing 30, 767–783 (2004)
Liu, B., Wang, L., Jin, Y., Tang, F., Huang, D.: Improved Particle Swarm Optimization Combined With Chaos. Chaos, Solitons and Fractals 25, 1261–1271 (2005)
Schute, J.F., Groenwold, A.A.: A Study of Global Optimization Using Particle Swarms. Journal of Global Optimization 3, 103–108 (2005)
Liu, H., Abraham, A.: An Hybrid Fuzzy Variable Neighborhood Particle Swarm Optimization Algorithm for Solving Quadratic Assignment Problems. Journal of Universal Computer Science 13(7), 1032–1054 (2007)
Boussouf, M.: A Hybrid Approach to Feature Selection. In: Żytkow, J.M. (ed.) PKDD 1998. LNCS, vol. 1510, pp. 231–238. Springer, Heidelberg (1998)
Skowron, A., Rauszer, C.: The Discernibility Matrices and Functions in Information Systems. In: Świniarski, R.W. (ed.) Handbook of Applications and Advances of the Rough Set Theory, pp. 331–362. Kluwer Academic Publishers, Dordrecht (1992)
Zhang, J., Wang, J., Li, D., He, H., Sun, J.: A New Heuristic Reduct Algorithm Base on Rough Sets Theory. In: Dong, G., Tang, C., Wang, W. (eds.) WAIM 2003. LNCS, vol. 2762, pp. 247–253. Springer, Heidelberg (2003)
Hu, K., Diao, L., Lu, Y.-c., Shi, C.-Y.: A Heuristic Optimal Reduct Algorithm. In: Leung, K.-S., Chan, L., Meng, H. (eds.) IDEAL 2000. LNCS, vol. 1983, pp. 139–144. Springer, Heidelberg (2000)
Zhong, N., Dong, J.: Using Rough Sets with Heuristics for Feature Selection. Journal of Intelligent Information Systems 16, 199–214 (2001)
Banerjee, M., Mitra, S., Anand, A.: Feature Selection Using Rough Sets. Studies in Computational Intelligence, vol. 16, pp. 3–20. Springer, Heidelberg (2006)
Wu, Q., Bell, D.: Multi-knowledge Extraction and Application. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds.) RSFDGrC 2003. LNCS (LNAI), vol. 2639, pp. 574–575. Springer, Heidelberg (2003)
Wu, Q.: Multiknowledge and Computing Network Model for Decision Making and Localisation of Robots. Thesis, University of Ulster (2005)
Wang, G.: Rough Reduction in Algebra View and Information View. International Journal of Intelligent Systems 18, 679–688 (2003)
Xu, Z., Liu, Z., Yang, B., Song, W.: A Quick Attibute Reduction Algorithm with Complexity of Max(O(|C||U|),O(|C|2|U/C|)). Chinese Journal of Computers 29, 391–399 (2006)
Cristian, T.I.: The particle swarm optimization algorithm: convergence analysis and parameter selection. Information Processing Letters 85(6), 317–325 (2003)
van den Bergh, F., Engelbrecht, A.P.: A Study of Particle Swarm Optimization Particle Trajectories. Information Sciences 176(8), 937–971 (2006)
Grosan, C., Abraham, A., Nicoara, M.: Search Optimization Using Hybrid Particle Sub-swarms and Evolutionary Algorithms. International Journal of Simulation Systems, Science & Technology 6(10), 60–79 (2005)
Jiang, C., Etorre, B.: A hybrid Method of Chaotic Particle Swarm Optimization and Linear Interior for Reactive Power Optimisation. Mathematics and Computers in Simulation 68, 57–65 (2005)
Liu, H., Li, B., Ji, Y., Tong, S.: Particle Swarm Optimisation from lbest to gbest. In: Abraham, A., Baets, B.D., Koppen, M. (eds.) Applied Soft Computing Technologies: The Challenge of Complexity, pp. 537–545. Springer, Heidelberg (2006)
Liang, J.J., Qin, A.K., Suganthan, P.N., Baskar, S.: Comprehensive Learning Particle Swarm Optimizer for Global Optimization of Multimodal Functions. IEEE Transactions on Evolutionary Computation 10(3), 281–295 (2006)
Blackwell, T., Branke, J.: Multiswarms, exclusion, and anti-convergence in dynamic environments. IEEE Transactions on Evolutionary Computation 10(4), 459–472 (2006)
Niu, B., Zhu, Y., He, X., Wu, H.: MCPSO: A Multi-Swarm Cooperative Particle Swarm Optimizer. Applied Mathematics and Computation 185(2), 1050–1062 (2007)
Settles, M., Soule, T.: Breeding swarms: a GA/PSO hybrid. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO), pp. 161–168 (2005)
Elshamy, W., Emara, H.M., Bahgat, A.: Clubs-based Particle Swarm Optimization. In: Proceedings of the IEEE International Conference on Swarm Intelligence Symposium, vol. 1, pp. 289–296 (2007)
Guo, C., Tang, H.: Global Convergence Properties of Evolution Stragtegies. Mathematica Numerica Sinica 23(1), 105–110 (2001)
He, R., Wang, Y., Wang, Q., Zhou, J., Hu, C.: An Improved Particle Swarm Optimization Based on Self-adaptive Escape Velocity. Journal of Software 16(12), 2036–2044 (2005)
Weisstein, E.W.: Borel-Cantelli Lemma, From MathWorld – A Wolfram Web Resource (2007), http://mathworld.wolfram.com/Borel-CantelliLemma.html
Xu, Z., Cheng, G., Liang, Y.: Search Capability for An Algebraic Crossover. Journal of Xi’an Jiaotong University 33(10), 88–99 (1999)
Whitley, L.D.: Fundamental Principles of Deception in Genetic Search. Foundation of Genetic Algorithms, pp. 221–241. Morgan Kaufmann Publishers, California (1991)
Mastrolilli, M., Gambardella, L.M.: Effective Neighborhood Functions for the Flexible Job Shop Problem. Journal of Scheduling 3(1), 3–20 (2002)
Holland, J.H.: Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)
Goldberg, D.E.: Genetic Algorithms in search, optimization, and machine learning. Addison-Wesley Publishing Corporation, Inc., Reading (1989)
Cantú-Paz, E.: Efficient and Accurate Parallel Genetic Algorithms. Kluwer Academic Publishers, Netherland (2000)
Abraham, A.: Evolutionary Computation. In: Sydenham, P., Thorn, R. (eds.) Handbook for Measurement Systems Design, pp. 920–931. John Wiley and Sons Ltd., London (2005)
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Liu, H., Abraham, A., Yue, B. (2010). Nature Inspired Multi-Swarm Heuristics for Multi-Knowledge Extraction. In: Koronacki, J., Raś, Z.W., Wierzchoń, S.T., Kacprzyk, J. (eds) Advances in Machine Learning II. Studies in Computational Intelligence, vol 263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05179-1_21
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DOI: https://doi.org/10.1007/978-3-642-05179-1_21
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