Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

An overview on rough neural networks

  • Review
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. Pawalk Z (1982) Rough sets. Int J Comput Inf Sci 11(5):341–356

    Article  Google Scholar 

  2. Shi Z (2011) Knowledge discovery, 2nd edn. Tsinghua University Press, Beijing

    Google Scholar 

  3. Yan PF, Zhang CS (2005) Artificial Neural Networks and evolutionary computation. Tsinghua University Press, Beijing

    Google Scholar 

  4. Schmidhuber J (2015) Deep learning in Neural Networks: an overview. Neural Netw 61:85–117

    Article  Google Scholar 

  5. 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

    Article  Google Scholar 

  6. 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

    Article  Google Scholar 

  7. Shi ZZ (2009) Neural Networks. Higher Education Press, Beijing

    Google Scholar 

  8. Cao JW, Lin ZP, Huang GB (2010) Composite functions wavelet neural networks with extreme learning machine. Neurocomputing 73:1405–1416

    Article  Google Scholar 

  9. 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

    Article  Google Scholar 

  10. 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

    MathSciNet  Google Scholar 

  11. Xu XZ (2012) A study on the optimization methods for granularity Neural Network based on rough set. China University of Mining and Technology, Xuzhou

    Google Scholar 

  12. 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

    Article  Google Scholar 

  13. Ding SF, Jia HJ, Chen JR, Jin FX (2014) Granular Neural Networks. Artif Intell Rev 41(3):373–384

    Article  Google Scholar 

  14. 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

    Article  Google Scholar 

  15. 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

    Google Scholar 

  16. He X, Xu S (2010) Process Neural Networks: theory and applications. Springer, Berlin

    Book  MATH  Google Scholar 

  17. Banerjee M, Mitra S, Pal SK (1998) Rough fuzzy MLP: knowledge encoding and classification. IEEE Trans Neural Netw 9(6):1203–1216

    Article  Google Scholar 

  18. 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

    Article  MATH  Google Scholar 

  19. 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

  20. 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

    Article  Google Scholar 

  21. Ding SF, Chen JR, Xu XZ, Li J (2011) Rough Neural Networks: a review. J Comput Inf Syst 7(7):2338–2346

    Google Scholar 

  22. 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

  23. Han L, Shi LP, Xu ZG (2007) A pruning algorithm for RBF neural network based on rough sets. Inf Control 36(5):604–609

    Google Scholar 

  24. Zhu WF, Zhao SJ (2007) Optimal design of structure for neural networks based on rough sets. Comput Eng Des 28(17):4210–4212

    Google Scholar 

  25. 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

    Article  Google Scholar 

  26. 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

    Article  Google Scholar 

  27. 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

    Article  MathSciNet  MATH  Google Scholar 

  28. Yao Y (2010) Three-way decisions with probabilistic rough sets. Inf Sci 180(3):341–353

    Article  MathSciNet  Google Scholar 

  29. Pawlak Z, Wong SKM, Ziarko W (1988) Rough sets: probabilistic versus deterministic approach. Int J Man Mach Stud 29(1):81–95

    Article  MATH  Google Scholar 

  30. 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

    Article  MathSciNet  MATH  Google Scholar 

  31. Huang GB, Siew CK (2004) Extreme learning machine: RBF network case. Control Autom Robot Vision Conf 2:1029–1036

    Google Scholar 

  32. Zhu QY, Qin AK, Suganthan PN, Huang GB (2005) Rapid and brief communication evolutionary extreme learning machine. Pattern Recogn 38:1759–1763

    Article  MATH  Google Scholar 

  33. Huang GB, Ding XJ, Zhou HM (2010) Optimization method based extreme learning machine for classification. Neurocomputing 74:155–163

    Article  Google Scholar 

  34. 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

  35. Abe S (2010) Support vector machines for pattern classification. Springer, London

    Book  MATH  Google Scholar 

  36. Ding SF, Jin FX, Zhao XW (2013) Modern data analysis and information pattern recognition. Science Press, Beijing

    Google Scholar 

  37. 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

    Article  Google Scholar 

  38. 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

    Article  Google Scholar 

  39. 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

    Article  Google Scholar 

  40. Ma G (2013) A study on learning methods of rough RBF Neural Network. China University of Mining and Technology, Xuzhou

    Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China (No. 61379101).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shifei Ding.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-015-2009-6

Keywords