Abstract
This paper is based on rough set theory and neural networks, and mainly introduces the previous researchers how to use rough set theory, which has the superior ability to rule out redundant, and neural networks, which has the self-organizing and self-learning ability to complement each other’s advantages, in order to obtain rough neural networks with better performance. This paper also details the possibility of the integration of these two theories and the current mainstream fusion method and then takes two more mainstream previous neural networks, back-propagation neural networks and radial basis function neural networks, as an example to integrate with rough set theory. This example describes the fusion method, fusion performance, and its corresponding learning algorithm after fusion in detail.





Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Pawalk Z (1982) Rough sets. Int J Comput Inf Sci 11(5):341–356
Shi Z (2011) Knowledge discovery, 2nd edn. Tsinghua University Press, Beijing
Yan PF, Zhang CS (2005) Artificial Neural Networks and evolutionary computation. Tsinghua University Press, Beijing
Schmidhuber J (2015) Deep learning in Neural Networks: an overview. Neural Netw 61:85–117
Ding SF, Su CY, Yu JZ (2011) An optimizing BP neural network algorithm is based on genetic algorithm. Artif Intell Rev 36(2):153–162
Ding SF, Xu L, Su CY, Jin FX (2012) An optimizing method of RBF neural network based on a genetic algorithm. Neural Comput Appl 21(2):333–336
Shi ZZ (2009) Neural Networks. Higher Education Press, Beijing
Cao JW, Lin ZP, Huang GB (2010) Composite functions wavelet neural networks with extreme learning machine. Neurocomputing 73:1405–1416
Shen W, Guo X, Wu C, Wu D (2011) Forecasting stock indices using radial basis function neural networks optimized by artificial fish swarm algorithm. Knowl-Based Syst 24(3):378–385
Wang DW, Song XF, Yin WY, Yuan JY (2015) Forecasting core business transformation risk using the optimal rough set and the Neural Network. Journal of Forecast. doi:10.1002/for.2349
Xu XZ (2012) A study on the optimization methods for granularity Neural Network based on rough set. China University of Mining and Technology, Xuzhou
Xu XZ, Ding SF, Shi ZZ et al (2012) Optimizing radial basis function neural network based on rough sets and affinity propagation clustering algorithm. J Zhejiang Univ Sci C Comput Electron 13(2):131–138
Ding SF, Jia HJ, Chen JR, Jin FX (2014) Granular Neural Networks. Artif Intell Rev 41(3):373–384
Ding SF, Ma G, Shi ZZ (2014) A novel self-adaptive extreme learning machine is based on affinity propagation for radial basis function Neural Network. Neural Comput Appl 24(7–8):1487–1495
Ding SF, Ma G, Xu XZ (2011) A rough RBF Neural Networks optimized by the genetic algorithm. Adv Inf Sci Serv Sci 3(7):332–339
He X, Xu S (2010) Process Neural Networks: theory and applications. Springer, Berlin
Banerjee M, Mitra S, Pal SK (1998) Rough fuzzy MLP: knowledge encoding and classification. IEEE Trans Neural Netw 9(6):1203–1216
Feng F, Li C, Davvaz B et al (2010) Soft sets combined with fuzzy sets and rough sets: a tentative approach. Soft Comput 14(9):899–911
HM He, ZC Qin (2010) A k-hyperplane-based neural network for non-linear regression. In: Proceedings of the 9th IEEE International Conference on Cognitive Informatics (ICCI2010), IEEE, pp 783–787
He HM, McGinnity TM, Coleman S, Gardiner B (2014) Linguistic decision making for Robot route learning. IEEE Trans Neural Netw Learn Syst 25(1):203–215
Ding SF, Chen JR, Xu XZ, Li J (2011) Rough Neural Networks: a review. J Comput Inf Syst 7(7):2338–2346
M Mitra, RK Samanta (2015) Hepatitis disease diagnosis using multiple imputation and neural network with rough set feature reduction. In: Proceedings of the 3rd International Conference on Frontiers of Intelligent Computing: Theory and Applications (FICTA) 2014, Springer International Publishing, pp 285–293
Han L, Shi LP, Xu ZG (2007) A pruning algorithm for RBF neural network based on rough sets. Inf Control 36(5):604–609
Zhu WF, Zhao SJ (2007) Optimal design of structure for neural networks based on rough sets. Comput Eng Des 28(17):4210–4212
Xu XZ, Ding SF, Jia WK, Ma G, Jin FX (2013) Research of assembling optimized classification algorithm by neural network based on Ordinary Least Squares (OLS). Neural Comput Appl 22(1):187–193
Ding SF, Ma G, Shi ZZ (2014) A rough RBF neural network is based on weighted regularized extreme learning machine. Neural Process Lett 40(3):245–260
Qian Y, Liang J, Pedrycz W, Dang C (2010) Positive approximation: an accelerator for attribute reduction in rough set theory. Artif Intell 174(9):597–618
Yao Y (2010) Three-way decisions with probabilistic rough sets. Inf Sci 180(3):341–353
Pawlak Z, Wong SKM, Ziarko W (1988) Rough sets: probabilistic versus deterministic approach. Int J Man Mach Stud 29(1):81–95
Azam N, Yao JT (2014) Analyzing uncertainties of probabilistic rough set regions with game-theoretic rough sets. Int J Approximate Reasoning 55(1):142–155
Huang GB, Siew CK (2004) Extreme learning machine: RBF network case. Control Autom Robot Vision Conf 2:1029–1036
Zhu QY, Qin AK, Suganthan PN, Huang GB (2005) Rapid and brief communication evolutionary extreme learning machine. Pattern Recogn 38:1759–1763
Huang GB, Ding XJ, Zhou HM (2010) Optimization method based extreme learning machine for classification. Neurocomputing 74:155–163
HC Wang, Q He, TF Shang, FZ Zhuang, ZZ Shi (2015) Extreme learning machine ensemble classifier for large-scale data. In: Proceedings of ELM-2014 Vol 1, Springer International Publishing, pp 151–161
Abe S (2010) Support vector machines for pattern classification. Springer, London
Ding SF, Jin FX, Zhao XW (2013) Modern data analysis and information pattern recognition. Science Press, Beijing
Deng ZH, Jiang YZ, Choi KS, Chung FS (2013) Knowledge-leverage-based TSK fuzzy system modeling. IEEE Trans Neural Netw Learn Syst 24(8):1200–1212
Deng Z, Choi K, Jiang Y, Wang S (2014) Generalized hidden-mapping ridge regression, knowledge-leveraged inductive transfer learning for neural networks, fuzzy systems and kernel methods. IEEE Trans Cybern 44(12):2585–2599
Garnett MJ, Edelman EJ, Heidorn SJ, Greenman CD, Dastur A et al (2012) Systematic identification of genomic markers of drug sensitivity in cancer cells. Nature 483(7391):570–575
Ma G (2013) A study on learning methods of rough RBF Neural Network. China University of Mining and Technology, Xuzhou
Acknowledgments
This work is supported by the National Natural Science Foundation of China (No. 61379101).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liao, H., Ding, S., Wang, M. et al. An overview on rough neural networks. Neural Comput & Applic 27, 1805–1816 (2016). https://doi.org/10.1007/s00521-015-2009-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00521-015-2009-6