Abstract
Interval-valued Information System (IvIS) is a generalized model of single-valued information system, in which the attribute values of objects are all interval values instead of single values. The attribute set in IvIS is not static but rather dynamically changing over time with the collection of new information. The rough approximations may evolve accordingly, which should be updated continuously for data analysis based on rough set theory. In this paper, on the basis of the similarity-based rough set theory in IvIS, we first analyze the relationships between the original approximation sets and the updated ones. And then we propose the incremental methods for updating rough approximations when adding and removing attributes, respectively. Finally, a comparative example is used to validate the effectiveness of the proposed incremental methods.
References
Inbarani, H.H., Azar, A.T., Jothi, G.: Supervised hybrid feature selection based on pso and rough sets for medical diagnosis. Comput. Methods Program. Biomed. 113(1), 175–185 (2014)
Yao, J., Herbert, J.P.: Financial time-series analysis with rough sets. Appl. Soft Comput. 9(3), 1000–1007 (2009)
Chen, Y., Cheng, C.: A soft-computing based rough sets classifier for classifying ipo returns in the financial markets. Appl. Soft Comput. 12(1), 462–475 (2012)
Tseng, T.B., Jothishankar, M.C., Wu, T.T.: Quality control problem in printed circuit board manufacturingan extended rough set theory approach. J. Manufact. Syst. 23(1), 56–72 (2004)
Wang, F.H.: On acquiring classification knowledge from noisy data based on rough set. Expert Syst. Appl. 29(1), 49–64 (2005)
Bai, H.X., Ge, Y., Wang, J.F., Li, D.Y., Liao, Y.L., Zheng, X.Y.: A method for extracting rules from spatial data based on rough fuzzy sets. Knowl.-Based Syst. 57, 28–40 (2014)
Pawlak, Z.: Information systems theoretical foundation. Inf. Syst. 3(6), 205–218 (1981)
Chen, Z.C., Qin, K.Y.: Attribute reduction of interval-valued information system based on variable precision tolerance relation. Comput. Sci. 36(3), 163–166 (2009)
Leung, Y., Fischer, M.M., Wu, W.Z., Mi, J.S.: A rough set approach for the discovery of classification rules in interval-valued information systems. Int. J. Approx. Reasoning 47(2), 233–246 (2008)
Qian, Y.H., Liang, J.Y., Dang, C.Y.: Interval ordered information systems. Comput. Math. Appl. 56(8), 1994–2009 (2008)
Miao, D.Q., Zhang, N., Yue, X.D.: Knowledge reduction in interval-valued information systems. In: Proceedings of the 8th IEEE International Conference on Congitive Informatics, pp. 320–327 (2009)
Yang, X.B., Yu, D.J., Yang, J.Y., Wei, L.H.: Dominance-based rough set approach to incomplete interval-valued information system. Data Knowl. Eng. 68(11), 1331–1347 (2009)
Dai, J.H., Wang, W.T., Mi, J.S.: Uncertainty measurement for interval-valued information systems. Inf. Sci. 251, 63–78 (2013)
Dai, J.H., Wang, W.T., Xu, Q., Tian, H.W.: Uncertainty measurement for interval-valued decision systems based on extended conditional entropy. Knowl.-Based Syst. 27, 443–450 (2012)
Zhang, H.Y., Leung, Y., Zhou, L.: Variable-precision-dominance-based rough set approach to interval-valued information systems. Inf. Sci. 244, 75–91 (2013)
Du, W.S., Hu, B.Q.: Approximate distribution reducts in inconsistent interval-valued ordered decision tables. Inf. Sci. 271, 93–114 (2014)
Li, T.R., Ruan, D., Geert, W., Song, J., Xu, Y.: A rough Sets based characteristic relation approach for dynamic attribute generalization in data mining. Knowl.-Based Syst. 20(5), 485–494 (2007)
Luo, C., Li, T.R., Chen, H.M., Liu, D.: Incremental approaches for updating approximations in set-valued ordered information systems. Knowl.-Based Syst. 50, 218–233 (2013)
Luo, C., Li, T.R., Chen, H.M.: Dynamic maintenance of approximations in set-valued ordered decision systems under the attribute generalization. Inf. Sci. 257, 210–228 (2014)
Luo, C., Li, T.R., Chen, H.M., Lu, L.X.: Fast algorithms for computing rough approximations in set-valued decision systems while updating criteria values. Inf. Sci. 299, 221–242 (2015)
Li, S.Y., Li, T.R., Liu, D.: Incremental updating approximations in dominance-based rough sets approach under the variation of the attribute set. Knowl.-Based Syst. 40, 17–26 (2013)
Zeng, A.P., Li, T.R., Liu, D., Zhang, J.B., Chen, H.M.: A fuzzy rough set approach for incremental feature selection on hybrid information systems. Fuzzy Sets Syst. 258, 39–60 (2015)
Chen, H.M., Li, T.R., Luo, C., et al.: A Decision-theoretic Rough Set Approach for Dynamic Data Mining. IEEE Trans. Fuzzy Syst. (2015). doi:10.1109/TFUZZ.2014.2387877
Acknowledgements
This work is supported by the National Science Foundation of China (No. 61175047), NSAF (No. U1230117), the Young Software Innovation Foundation of Sichuan Province, China (No. 2014-046) and the Beijing Key Laboratory of Traffic Data Analysis and Mining (BKLTDAM2014001).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 2.5 International License (http://creativecommons.org/licenses/by-nc/2.5/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.
The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Zhang, Y., Li, T., Luo, C., Chen, H. (2015). Incremental Updating Rough Approximations in Interval-valued Information Systems. In: Ciucci, D., Wang, G., Mitra, S., Wu, WZ. (eds) Rough Sets and Knowledge Technology. RSKT 2015. Lecture Notes in Computer Science(), vol 9436. Springer, Cham. https://doi.org/10.1007/978-3-319-25754-9_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-25754-9_22
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-25753-2
Online ISBN: 978-3-319-25754-9
eBook Packages: Computer ScienceComputer Science (R0)