Skip to main content
Log in

Extended sequential adaptive fuzzy inference system for classification problems

  • Original Paper
  • Published:
Evolving Systems Aims and scope Submit manuscript

Abstract

This paper presents the performance evaluation of the recently developed Sequential Adaptive Fuzzy Inference System (SAFIS) algorithm for classification problems. In SAFIS the number of fuzzy rules can be automatically determined according to learning process and the parameters in fuzzy rules can be updated simultaneously. Earlier SAFIS has been evaluated only for function approximation problems. Improvements to SAFIS for enhancing its performance in both accuracy and speed are described in the paper and the resulting algorithm is referred to as Extended SAFIS (ESAFIS). In ESAFIS, the concept of the modified influence of a fuzzy rule is introduced for adding or removing the fuzzy rules. If the input data does not warrant adding of fuzzy rules, the parameters of the fuzzy rules are updated using a Recursive Least Square Error (RLSE) scheme. Empirical study of ESAFIS is executed based on several commonly used classification benchmark problems. The results indicate that the proposed ESAFIS produces higher classification accuracy with reduced computational complexity compared with original SAFIS and other algorithms, such as eTS (Angelov and Filev 2004), Simpl_eTS (Angelov and Filev 2005) and k-NN (Huang et al. 2006).

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.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  • Angelov P, Filev D (2005) Simpl_eTS: a simplified method for learning evolving Takagi-Sugeno fuzzy models. In: The 14th IEEE international conference on fuzzy systems, pp 1068–1073

  • Angelov P, Zhou X (2006) Evolving fuzzy systems from data streams in real-time. In: Symposium on evolving fuzzy systems, pp 29–35

  • Angelov PP, Filev DP (2004) An approach to online identification of takagi-sugeno fuzzy models. IEEE Trans Syst Man Cybern Part B Cybern 34(1):484–498

    Article  Google Scholar 

  • Babu RV, Suresh S, Makur A (2010) Online adaptive radial basis function networks for robust object tracking. Comput Vis Image Underst 114(3):297–310

    Article  Google Scholar 

  • Blake C, Merz C (1998) UCI repository of machine learning databases. http://www.ics.uci.edu/mlearn/MLRepository.html. Department of Information and Computer Sciences, University of California, Irvine

  • Cho KB, Wang BH (1996) Radial basis function based adaptive fuzzy systems and their applications to system identification and prediction. Fuzzy Sets Syst 83:325–339

    Article  MathSciNet  Google Scholar 

  • Fix E, Hodeges JL (1951) Discriminatory analysis: nonparametric discrimination: consistency properties. 4, US Airforce School of Aviation Medicine, Technical Report

  • Gopal S, Karthikeyan B, Kavitha D (2004) Partial discharge pattern classification using fuzzy expert system. In: Proceedings of the 2004 IEEE international conference on solid dielectrics, Toulouse, France, pp 653–656

  • Huang GB, Saratchandran P, Sundararajan N (2004) An effcient sequential learning algorithm for growing and pruning RBF (GAP-RBF) networks. IEEE Trans Syst Man Cybern Part B Cybern 34(6):2284–2292

    Article  Google Scholar 

  • Huang GB, Saratchandran P, Sundararajan N (2005) A generalized growing and pruning RBF(GGAP-RBF) neural network for function approximation. IEEE Trans Neural Netw 16(1):57–67

    Article  Google Scholar 

  • Huang GB, Zhu QY, Siew CK (2006) Real-time learning capability of neural networks. IEEE Trans Neural Netw 17(4):863–878

    Article  Google Scholar 

  • Jang JSR, Sun CT (1993) Functional equivalence between radial basis function networks and fuzzy inference systems. IEEE Trans Neural Netw 4(1):156–159

    Article  Google Scholar 

  • Jang JSR, Sun CT, Mizutani E (1997) Neuro-fuzzy and soft computing: a computational approach to learning and machine intelligence. Prentice Hall, Upper Saddle River

  • Juang CF, Lin CT (2002) An on-line self-constructing neural fuzzy inference network and its applications. IEEE Trans Fuzzy Syst 10(2):144–154

    Article  Google Scholar 

  • Kalhor A, Araabi BN, Lucas C (2010) An online predictor model as adaptive habitually linear and transiently nonlinear model. Evol Syst 1(1):29–41

    Article  Google Scholar 

  • Konjic T, Miranda V, Kapetanovic I (2004) Prediction of LV substation load curves with fuzzy inference systems. In: Proceedings of the 5th international conference on probabilistic methods applied to power systems, Ames, pp 129–134

  • Leng G, McGinnity TM, Prasad G (2005) An approach for on-line extraction of fuzzy rules using a self-organising fuzzy neural network. Fuzzy Sets Syst 150(2):211–243

    Article  MathSciNet  MATH  Google Scholar 

  • Lin CT, Yeh CM, Liang SF, Chung JF, Kumar N (2006) Support-vector-based fuzzy neural network for pattern classification. IEEE Trans Fuzzy Syst 14(1):31–41

    Article  Google Scholar 

  • Mitra S, Hayashi Y (2000) Neuro-fuzy rule generation: Survey in soft computing framework. IEEE Trans Neural Netw 11(3):748–768

    Article  Google Scholar 

  • Olej V, Krupka J (2005) Prediction of gross domestic product development by Takagi-Sugeno fuzzy inference systems. In: Proceedings of the 5th international conference on intelligent systems design and applications (ISDA’05), Wroclaw, Poland, pp 186–191

  • Quinlan JR (1993) C4.5: programs for machine learning. Morgan Kaufmann, San Francisco

  • Rong HJ, Sundararajan N, Huang GB, Saratchandran P (2006) Sequential Adaptive Fuzzy Inference System (SAFIS) for nonlinear system identification and prediction. Fuzzy Sets Syst 157(9):1260–1275

    Article  MathSciNet  MATH  Google Scholar 

  • Rong HJ, Huang GB, Sundararajan N, Saratchandran P (2009) On-line sequential fuzzy extreme learning machine for function approximation and classification problems. IEEE Trans Syst Man Cybern Part B Cybern 39(4):1067–1072

    Article  Google Scholar 

  • Rubio J, Vazquez DM, Pacheco J (2010) Backpropagation to train an evolving radial basis function neural network. Evol Syst 1(3):173–180

    Article  Google Scholar 

  • Rubio JJ (2009) SOFMLS: Online self-organizing fuzzy modified least-squares network. IEEE Trans Fuzzy Syst 17(6):1296–1309

    Article  Google Scholar 

  • Soleimani H, Lucas C, Araabi BN (2010) Recursive Gath-Geva clustering as a basis for evolving neuro fuzzy modeling. Evol Syst 1(1):59–71

    Article  Google Scholar 

  • Suresh S, Sundararajan N, Saratchandran P (2008) Risk-sensitive loss functions for sparse multi-category classification problems. Inform Sci 178:2621–2638

    MathSciNet  MATH  Google Scholar 

  • Takagi T, Sugeno M (1985) Fuzzy identification of systems and its applications for modeling and control. IEEE Trans Syst Man Cybern 15(1):116–132

    MATH  Google Scholar 

  • Theodoridis S, Koutroumbas K (2003) Pattern recognition, 2nd edn. Elsevier, Amsterdam

  • Wang L, Yen J (1999) Extracting fuzzy rules for system modeling using a hybrid of genetic algorithm and Kalman Filter. Fuzzy Sets Syst 101:353–362

    Article  MathSciNet  Google Scholar 

  • Wu S, Er MJ (2000) Dynamic fuzzy neural networks-a novel approach to function approximation. IEEE Trans Syst Man Cybern B Cybern 30(2):358–364

    Article  Google Scholar 

  • Yingwei L, Sundararajan N, Saratchandran P (1997) A sequental learning scheme for function approximation using minimal radial basis function (RBF) neural networks. Neural Comput 9:461–478

    Article  MATH  Google Scholar 

  • Zhou X, Angelov PP (2008) Evolving fuzzy-rule-based classifiers from data streams. IEEE Trans Fuzzy Syst 16(6):1462–1475

    Article  Google Scholar 

Download references

Acknowledgments

This work is funded in part by National Natural Science Foundation of China (Grant No. 61004055); Shaanxi Provincial Natural Science Foundation of China (Grant No. 2009JQ8003); and the Scientific Research Plan for New Teachers, Xi’an Jiaotong University. The authors would like to thank the anonymous reviewers for their invaluable suggestions which have been incorporated to improve the quality of the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hai-Jun Rong.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rong, HJ., Sundararajan, N., Huang, GB. et al. Extended sequential adaptive fuzzy inference system for classification problems. Evolving Systems 2, 71–82 (2011). https://doi.org/10.1007/s12530-010-9023-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12530-010-9023-9

Keywords

Navigation