Abstract
Although neighborhood rough set(NRS) based attribute reduction methods have achieved excellent performance in many scenarios, the efficiency and robustness of these methods have not attracted much attention. In this study, we propose a fast fixed granular-ball model (FFGB) for attribute reduction in label noise environments. In FFGB, we propose a fast neighborhood search mechanism to improve the efficiency of NRS. This fast mechanism reduces the neighborhood search range from the universe to a neighborhood and reduces the time complexity of the neighborhood calculation to much less than \(O(n^2)\). Based on the fast mechanism, we propose FFGB model whose definitions are relaxed to be robust to against label noise. In addition, a FFGB attribute reduction algorithm is designed. Finally, we apply the FFGB attribute reduction to medical diagnosis. The experimental results indicate that FFGB is more efficient and robust than the comparison methods.
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Dong L, Chen D (2020) Incremental attribute reduction with rough set for dynamic datasets with simultaneously increasing samples and attributes. Int J Mach Learn Cybernet 11:1339–1355
Fan B, Wu W, Xu W, Li W (2019) Attribute-oriented cognitive concept learning strategy: a multi-level method. Int J Mach Learn Cybernet 10:2421–2437
Zhu X, Pedrycz W, Li Z (2021) A development of granular input space in system modeling. IEEE Trans Cybernet 51(3):1639–1650
Qian Y, Cheng H, Wang J, Liang J, Pedrycz W, Dang C (2017) Grouping granular structures in human granulation intelligence. Inform Sci 382:150–169
Chu X, Sun B, Chu X, Wu J, Han K, Zhang Y, Huang Q (2022) Multi-granularity dominance rough concept attribute reduction over hybrid information systems and its application in clinical decision-making. Inform Sci 597:274–299
Ng WW, Jiang X, Tian X, Pelillo M, Wang H, Kwong S (2020) Incremental hashing with sample selection using dominant sets. Int J Mach Learn Cybernet 11:2689–2702
Yang X, Yang J, Wu C, Yu D (2008) Dominance-based rough set approach and knowledge reductions in incomplete ordered information system. Inform Sci 178(4):1219–1234
Li D, Wu W (2018) On the characterization of fuzzy rough sets based on a pair of implications. Int J Mach Learn Cybernet 9:2081–2092
Yang Y, Song S, Chen D, Xiao Z (2020) Discernible neighborhood counting based incremental feature selection for heterogeneous data. Int J Mach Learn Cybernet 11:1115–1127
Zhang K, Zhan J, Wang X (2020) TOPSIS-WAA method based on a covering-based fuzzy rough set: An application to rating problem. Inform Sci 539:397–421
Shao M, Wu W, Wang X, Wang C (2020) Knowledge reduction methods of covering approximate spaces based on concept lattice. Knowl-Based Syst 191:105269
Jiang H, Zhan J, Chen D (2019) Covering-based variable precision (I, T)-fuzzy rough sets with applications to multiattribute decision-making. IEEE Trans Fuzzy Syst 27(8):1558–1572
Chen X, Chen D, Mi J (2021) Feature distribution-based label correlation in multi-label classification. Int J Mach Learn Cybernet 12:1705–1719
Tsang EC, Hu Q, Chen D (2016) Feature and instance reduction for pnn classifiers based on fuzzy rough sets. Int J Mach Learn Cybernet 7:1–11
Sun L, Yin T, Ding W, Qian Y, Xu J (2020) Multilabel feature selection using ML-relieff and neighborhood mutual information for multilabel neighborhood decision systems. Inform Sci 537:401–424
Xu Z, He Y, Wang X (2019) An overview of probabilistic-based expressions for qualitative decision-making: techniques, comparisons and developments. Int J Mach Learn Cybernet 10:1513–1528
Zuo H, Lu J, Zhang G, Pedrycz W (2019) Fuzzy rule-based domain adaptation in homogeneous and heterogeneous spaces. IEEE Trans Fuzzy Syst 27(2):348–361
Zhan J, Jiang H, Yao Y (2021) Three-way multiattribute decision-making based on outranking relations. IEEE Trans Fuzzy Syst 29(10):2844–2858
Shao Y, Qi X, Gong Z (2020) A general framework for multi-granulation rough decision-making method under q-rung dual hesitant fuzzy environment. Artificial Intell Rev 53:4903–4933
Gao C, Zhou J, Miao D et al (2021) Granular-conditional-entropy-based attribute reduction for partially labeled data with proxy labels. Inform Sci 580:111–128
Zhang X, Mei C, Chen D, Yang Y, Li J (2020) Active incremental feature selection using a fuzzy-rough-set-based information entropy. IEEE Trans Fuzzy Syst 28(5):901–915
Gao C, Lai Z, Zhou J et al (2019) Granular maximum decision entropy-based monotonic uncertainty measure for attribute reduction. Int J Approx Reason 104:9–24
M. A. Hall, Correlation-based feature selection for discrete and numeric class machine learning, in: International Conference on Machine Learning, Vol. 7, 2000, pp. 359-366
Frénay B, Verleysen M (2014) Classification in the presence of label noise: A survey. IEEE Trans Neural Netw Learn Syst 25(5):845–869
Xu R, Wen Z, Gui L, Lu Q, Li B, Wang X (2020) Ensemble with estimation: seeking for optimization in class noisy data. Int J Mach Learn Cybernet 11:231–248
S. Xia, G. Wang, Z. Chen, Y. Duan, Q. liu, Complete random forest based class noise filtering learning for improving the generalizability of classifiers, IEEE Trans Knowl Data Eng 31 (11) (2019) 2063-2078
Luengo J, Snchez-Tarrag D, Prati RC, Herrera F (2021) Multiple instance classification: bag noise filtering for negative instance noise cleaning. Inform Sci 579:388–400
S. Xia, S. Zheng, G. Wang, X. Gao, B. Wang, Granular ball sampling for noisy label classification or imbalanced classification, IEEE Transactions on Neural Networks and Learning Systems DOI:https://doi.org/10.1109/TNNLS.2021.3105984.
G. Roffo, S. Melzi, U. Castellani, A. Vinciarelli, Infinite latent feature selection: A probabilistic latent graph-based ranking approach. In: IEEE International Conference on Computer Vision, IEEE Computer Society, 2017, pp. 1407-1415
Guyon I, Elisseeff A (2003) An introduction to variable and feature selection. J Mach Learn Res 3:1157–1182
Hu Q, Yu D, Xie Z (2008) Numerical attribute reduction based on neighborhood granulation and rough approximation. J Softw 19(3):640–649
Hu Q, Liu J, Yu D (2008) Mixed feature selection based on granulation and approximation. Knowl-Based Syst 21(4):294–304
Hu Q, Zhao H, Yu D (2008) Efficient symbolic and numerical attribute reduction with neighborhood rough sets. Pattern Recognit Artificial Intell 21(6):732–738
Hu Q, Pedrycz W, Yu D, Lang J (2010) Selecting discrete and continuous features based on neighborhood decision error minimization. IEEE Trans Syst Man Cybernet Part B (Cybernetics) 40(1):137–150
Wang C, Hu Q, Wang X, Chen D, Qian Y, Dong Z (2018) Feature selection based on neighborhood discrimination index. IEEE Trans Neural Netw Learn Syst 29(7):2986–2999
Sang B, Chen H, Yang L, Li T, Xu W, Luo C (2021) Feature selection for dynamic interval valued ordered data based on fuzzy dominance neighborhood rough set. Knowl-Based Syst 227:107223
S. Xu, X. Yang, E. Tsang, E. A. Mantey, Neighborhood collaborative classifiers, in: International Conference on Machine Learning and Cybernetics, Vol. 1, 2016, pp. 470-476
Wang C, Shao M, He Q, Qian Y, Qi Y (2016) Feature subset selection based on fuzzy neighborhood rough sets. Knowl-Based Syst 111:173–179
Li J, Yang X, Song X, Li J, Wang P, Yu D (2019) Neighborhood attribute reduction: a multicriterion approach. Int J Mach Learn Cybernet 10(4):731–742
Liao S, Zhu Q, Qian Y, Lin G (2018) Multi-granularity feature selection on cost-sensitive data with measurement errors and variable costs. Knowl-Based Syst 158:25–42
Sun L, Wang L, Ding W et al (2020) Neighborhood multi-granulation rough sets-based attribute reduction using lebesgue and entropy measures in incomplete neighborhood decision systems. Knowl-Based Syst 192:105373
L. Sun, X. Zhang, J Xu, et al. An Attribute Reduction Method Using Neighborhood Entropy Measures in Neighborhood Rough Sets. Entropy 21(2)(2019) 155
Li W, Huang Z, Jia X, Cai X (2016) Neighborhood based decision-theoretic rough set models. Int J Approximate Reason 69:1–17
J. Zhang, T. Li, Y. Yang, L. Wang, Neighborhood rough sets based matrix approach for calculation of the approximations, in: Rough Sets and Knowledge Technology, Vol. 6, 2011, pp. 166-171
Peng X, Wang P, Xia S, Wang C, Pu C, Qian J (2022) FNC: a fast neighborhood calculation framework. Knowl-Based Syst 252:109394
Liu Y, Huang W, Jiang Y, Zeng Z (2014) Quick attribute reduct algorithm for neighborhood rough set model. Inform Sci 271:65–81
Hu M, Tsang E, Guo Y, Chen D, Xu W (2021) A novel approach to attribute reduction based on weighted neighborhood rough sets. Knowl-Based Syst 220:106908
Xia S, Zhang H, Li W, Wang G, Giem E, Chen Z (2022) GBNRS: A novel rough set algorithm for fast adaptive attribute reduction in classification. IEEE Trans Knowl Data Eng 34(3):1231–1242
Xia S, Liu Y, Ding X, Wang G, Luo Y (2019) Granular ball computing classifiers for efficient, scalable and robust learning. Inform Sci 483:136–152
S. Xia, X. Dai, G. Wang, X. Gao, E. Giem. An Efficient and Adaptive Granular-Ball Generation Method in Classification Problem. IEEE Transactions on Neural Networks and Learning Systems DIO: 10.1109/TNNLS.2022.3203381
Acknowledgements
This work is supported in part by the National Key Research and Development Program of China under Grant 2021YFB3301000, and in part by the Chongqing Talent Plan Project under Grant cstc2021ycjh-bgzxm0206. Doctoral Talent Training Program of Chongqing University of Posts and Telecommunications under Grant No. BYJS202010, the Intelligent Manufacturing Industry Technology Research Institute Open Fund under Grant No. ZNZZ2108, the Key Research and Development Program of Dazhou Science and Technology Bureau under Grant Nos. 20ZDYF0003 and 20ZDYF0001, the Ministry of Education’s Industry School Cooperation Collaborative Education Project under Grant 22097042270822, and by the Multi dimensional data perception and intelligent information processing Dazhou key laboratory project under Grant Nos. DWSJ2202 and DWSJ2207.
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Peng, X., Wang, P., Shao, Y. et al. Fast fixed granular-ball for attribute reduction in label noise environments and its application in medical diagnosis. Int. J. Mach. Learn. & Cyber. 15, 1039–1054 (2024). https://doi.org/10.1007/s13042-023-01954-y
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DOI: https://doi.org/10.1007/s13042-023-01954-y