Abstract
Parallel computing refers to the practice of exploiting parallelism in computing to achieve higher performance. Rough set theory plays a fundamental role in data analysis, which was extensively used in the context of data mining. The lower and upper approximations are the basic tools in rough set theory. The fast calculation of approximations can effectively improve the efficiency of rough set theory-based approaches. In this paper, we propose a new parallel strategy for computing approximations, which is able to exploit parallelism at all levels of the computation. An illustrative example is given to demonstrate the effectiveness and validity of the proposed method.
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References
Pawlak Z (1982) Rough sets. Int J Comput Inf Sci 11:341–356
Grzymala-Busse JW (2005) Rough set theory with applications to data mining. In: Negoita MG, Reushch B (eds) Real world applications of computational intelligence. Springer, Berlin, pp 221–244
Lynch C (2008) How do your data grow? Nature 455:28–29
Domingos P, Hulten G (2003) A general framework for mining massive data streams. J Comput Graphical Stat 12(4):945–949
Chen JY, Zhang CS (2011) Efficient clustering method based on rough set and genetic algorithm. Procedia Eng 15:1498–1503
Wang XY, Yang J, Teng XL, Xia WJ, Jensen R (2007) Feature selection based on rough sets and particle swarm optimization. Pattern Recogn Lett 28(4):459–471
Ahn BS, Cho SS, Kim CY (2000) The integrated methodology of rough set theory and artificial neural network for business failure prediction. Expert Syst Appl 18:65–74
Ke LG, Feng ZR, Ren ZG (2008) An efficient ant colony optimization approach to attribute reduction in rough set theory. Pattern Recogn Lett 29(9):1351–1357
An A, Shan N, Chan C, Cercone N, Ziarko W (1996) Discovering rules for water demand prediction: an enhanced rough-set approach. Eng Appl Artif Intell 9(6):645–653
Qian YH, Liang JY, Pedrycz W, Dang CY (2010) Positive approximation: an accelerator for attribute reduction in rough set theory. Artif Intell 174(9–10):597–618
Liang JY, Wang F, Dang CY, Qian YH (2012) An efficient rough feature selection algorithm with a multi-granulation view. Int J Approximate Reasoning 53(6):912–926
Ananthanarayana VS, Narasimha Murty M, Subramanian DK (2003) Tree structure for efficient data mining using rough sets. Pattern Recogn Lett 24(6):851–862
Fan YN, Tseng TL, Chern CC, Huang CC (2009) Rule induction based on an incremental rough set. Expert Syst Appl 36:11439–11450
Li TR, Ruan D, Geert W (2007) A rough sets based characteristic relation approach for dynamic attribute generalization in data mining. Knowl-Based Syst 20:485–494
Chen HM, Li TR, Qiao SJ, Ruan D (2010) A rough set based dynamic maintenance approach for approximations in coarsening and refining attribute values. Int J Intell Syst 25(10):1005–1026
Luo C, Li TR, Chen HM, Liu D (2013) Incremental approaches for updating approximations in set-valued ordered information systems. Knowl-Based Syst 50:218–233
Wang F, Liang JY, Qian YH (2013) Attribute reduction: a dimension incremental strategy. Knowl-Based Syst 39:95–108
Hu F, Wang GY, Xia Y (2007) Attribute core computation based on divide and conquer method. In: Kryszkiewicz M, Rybinski JF, Skowron A (eds) RSEISP 2007, vol 4585. Lecture note in artificial intelligence, Warsaw, Poland, pp 310–319
Qian J, Miao DQ, Zhang ZH (2011) Knowledge reduction algorithms in cloud computing. Chin J Comput 34(12):2332–2343 (in Chinese)
Zhang JB, Li TR, Ruan D, Gao ZZ, Zhao CB (2012) A parallel method for computing rough set approximations. Inf Sci 194:209–223
Acknowledgments
This work is supported by the National Science Foundation of China (nos. 61175047, 71201133, 61100117, and 61262058) and NSAF (no. U1230117), the Youth Social Science Foundation of the Chinese Education Commission (nos. 10YJCZH117 and 11YJC630127), and the Fundamental Research Funds for the Central Universities (nos. SWJTU11ZT08, SWJTU12CX091, and SWJTU12CX117).
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Luo, C., Li, T., Zhang, J., Zeng, A., Chen, H. (2014). An Improved Parallel Method for Computing Rough Set Approximations. In: Wen, Z., Li, T. (eds) Foundations of Intelligent Systems. Advances in Intelligent Systems and Computing, vol 277. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54924-3_3
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DOI: https://doi.org/10.1007/978-3-642-54924-3_3
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