Abstract
Dominance-based Rough Sets Approach (DRSA) is a useful tool for multi-criteria classification problems solving. Parallel computing is an efficient way to accelerate problems solving. Computation of approximations is a vital step to find the solutions with rough sets methodologies. In this paper, we propose a matrix-based approach for computing approximations in DRSA and design the corresponding parallel algorithms on Graphics Processing Unit (GPU). A numerical example is employed to illustrate the feasibility of the matrix-based approach. Experimental evaluations show the performance of the parallel algorithm.
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
Bache, K., Lichman, M.: UCI machine learning repository (2013), http://archive.ics.uci.edu/ml
Chan, C.: A rough set approach to attribute generalization in data mining. Information Sciences 107, 177–194 (1998)
Chen, H., Li, T., Qiao, S., Ruan, D.: A rough set based dynamic maintenance approach for approximations in coarsening and refining attribute values. International Journal of Intelligent Systems 25, 1005–1026 (2010)
Chen, H., Li, T., Ruan, D., Lin, J., Hu, C.: A rough-set-based incremental approach for updating approximations under dynamic maintenance environments. IEEE Transactions on Knowledge and Data Engineering 25(2), 274–284 (2013)
Cheng, Y.: The incremental method for fast computing the rough fuzzy approximations. Data & Knowledge Engineering 70, 84–100 (2011)
Greco, S., Matarazzo, B., Slowinski, R.: Rough sets theory for multicriteria decision analysis. European Journal of Operational Research 129, 1–47 (2001)
Li, S., Li, T., Liu, D.: Dynamic maintenance of approximations in dominance-based rough set approach under the variation of the object set. International Journal of Intelligent Systems 28(8), 729–751 (2013)
Li, S., Li, T., Liu, D.: Incremental updating approximations in dominance-based rough sets approach under the variation of the attribute set. Knowledge-Based Systems 40, 17–26 (2013)
Li, T., Ruan, D., Geert, W., Song, J., Xu, Y.: A rough sets based characteristic relation approach for dynamic attribute generalization in data mining. Knowledge-Based Systems 20, 485–494 (2007)
Luo, C., Li, T., Chen, H.: Dynamic maintenance of approximations in set-valued ordered decision systems under the attribute generalization. Information Sciences 257, 210–228 (2014)
Luo, C., Li, T., Chen, H., Liu, D.: Incremental approaches for updating approximations in set-valued ordered information systems. Knowledge-Based Systems 50, 218–233 (2013)
Navarro, C.A., Hitschfeld-Kahler, N., Mateu, L.: A survey on parallel computing and its applications in data-parallel problems using GPU architectures. Communications in Computational Physics 15(2), 285–329 (2014)
Pawlak, Z., Skowron, A.: Rough sets: Some extensions. Information Sciences 177, 28–40 (2007)
Qian, Y., Liang, J., Pedrycz, W., Dang, C.: Positive approximation: An accelerator for attribute reduction in rough set theory. Artificial Intelligence 174, 597–618 (2010)
Zhang, J., Li, T., Ruan, D.: Neighborhood rough sets for dynamic data mining. International Journal of Intelligent Systems 27, 317–342 (2012)
Zhang, J., Li, T., Ruan, D.: A parallel method for computing rough set approximations. Information Sciences 194, 209–223 (2012)
Zhang, J., Li, T., Ruan, D.: Rough sets based matrix approaches with dynamic attribute variation in set-valued information systems. International Journal of Approximate Reasoning 53, 620–635 (2012)
Zhang, J., Wong, J., Li, T., Pan, Y.: A comparison of parallel large-scale knowledge acquisition using rough set theory on different MapReduce runtime systems. International Journal of Approximate Reasoning 55, 896–907 (2014)
Zhang, J., Li, T., Chen, H.: Composite rough sets for dynamic data mining. Information Sciences 257, 81–100 (2014)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Li, S., Li, T. (2014). A Parallel Matrix-Based Approach for Computing Approximations in Dominance-Based Rough Sets Approach. In: Miao, D., Pedrycz, W., Ślȩzak, D., Peters, G., Hu, Q., Wang, R. (eds) Rough Sets and Knowledge Technology. RSKT 2014. Lecture Notes in Computer Science(), vol 8818. Springer, Cham. https://doi.org/10.1007/978-3-319-11740-9_17
Download citation
DOI: https://doi.org/10.1007/978-3-319-11740-9_17
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-11739-3
Online ISBN: 978-3-319-11740-9
eBook Packages: Computer ScienceComputer Science (R0)