Skip to main content

A New Classification Technique Based on the Combination of Inner Evidence

  • Conference paper
  • First Online:
Book cover Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2020)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12482))

  • 563 Accesses

Abstract

Data with high uncertainty and ambiguity is challenging for the classification task. EKNN is a popular evidence theory-based classification method developed for handling uncertainty data. However, as a distance-based technique, it also suffers from the problem of high dimensionality as well as performs ineffectively with mixed distribution data where closed data points originated from different classes. In this paper, we propose a new classification method that can softly classify new data upon each separate cluster which can remedy the overlapping data problem. Moreover, pieces of evidence induced from the trained clusters are combined using Dempster’s combination rule to yield the final predicted class. By defining the mass function of evidence with the weight factor based on the distance between new data points and clusters’ centers, it helps reduce the computational complexity which is also a problem in distance-based k-NN alike methods. The classification experiment conducted on various real data and popular classifiers has shown that the proposed technique has the results comparable to state-of-the-art methods.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Begoli, E., Bhattacharya, T., Kusnezov, D.: The need for uncertainty quantification in machine-assisted medical decision making. Nat. Mach. Intell. 1(1), 20–23 (2019). Nature Publishing Group

    Article  Google Scholar 

  2. Vluymans, S., Cornelis, C., Saeys, Y.: Machine learning for bioinformatics: uncertainty management with fuzzy rough sets, p. 2 (2016)

    Google Scholar 

  3. Huynh, V.N.: Uncertainty management in machine learning applications. Int. J. Approx. Reason. 107, 79–80 (2019)

    Article  MathSciNet  Google Scholar 

  4. Hüllermeier, E.: Uncertainty in clustering and classification. In: Deshpande, A., Hunter, A. (eds.) SUM 2010. LNCS (LNAI), vol. 6379, pp. 16–19. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-15951-0_6

    Chapter  Google Scholar 

  5. Jousselme, A.L., Maupin, P., Bosse, E.: Uncertainty in a situation analysis perspective. In: 2003 Proceedings of the 6th International Conference of Information Fusion, vol. 2, pp. 1207–1214 (July 2003)

    Google Scholar 

  6. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)

    MATH  Google Scholar 

  7. Denoeux, T., Bjanger, M.: Induction of decision trees from partially classified data using belief functions. In: SMC 2000 Conference Proceedings of the 2000 IEEE International Conference on Systems, Man and Cybernetics. ‘Cybernetics Evolving to Systems, Humans, Organizations, and their Complex Interactions’ (cat. no. 0), vol. 4, pp. 2923–2928 (October 2000). ISSN: 1062–922X

    Google Scholar 

  8. Denœux, T., Kanjanatarakul, O., Sriboonchitta, S.: A new evidential K-nearest neighbor rule based on contextual discounting with partially supervised learning. Int. J. Approx. Reason. 113, 287–302 (2019)

    Article  MathSciNet  Google Scholar 

  9. Denoeux, T.: A k-nearest neighbor classification rule based on Dempster-Shafer theory. IEEE Trans. Syst. Man Cybern. 25(5), 804–813 (1995). Conference Name: IEEE Transactions on Systems, Man, and Cybernetics

    Article  Google Scholar 

  10. Tong, Z., Xu, P., Denœux, T.: ConvNet and Dempster-shafer theory for object recognition. In: Ben Amor, N., Quost, B., Theobald, M. (eds.) SUM 2019. LNCS (LNAI), vol. 11940, pp. 368–381. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-35514-2_27

    Chapter  Google Scholar 

  11. Su, Z., Hu, Q., Denaeux, T.: A distributed rough evidential K-NN classifier: integrating feature reduction and classification. IEEE Trans. Fuzzy Sys., 1 (2020). Conference Name: IEEE Transactions on Fuzzy Systems

    Google Scholar 

  12. Denoeux, T.: A neural network classifier based on Dempster-Shafer theory. IEEE Trans. Syst. Man Cybern. Part A Syst. Hum. 30(2), 131–150 (2000). Conference Name: IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans

    Article  MathSciNet  Google Scholar 

  13. Liu, Z., Pan, Q., Dezert, J., Mercier, G.: Credal classification rule for uncertain data based on belief functions. Pattern Recogn. 47(7), 2532–2541 (2014)

    Article  Google Scholar 

  14. Liu, Z., Pan, Q., Dezert, J.: A new belief-based K-nearest neighbor classification method. Pattern Recogn. 46(3), 834–844 (2013)

    Article  Google Scholar 

  15. Dempster, A.P.: Upper and lower probabilities induced by a multivalued mapping. In: Yager, R.R., Liu, L. (eds.) Classic Works of the Dempster-Shafer Theory of Belief Functions. Studies in Fuzziness and Soft Computing, vol. 219, pp. 57–72. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-44792-4_3

    Chapter  Google Scholar 

  16. Smets, P., Kennes, R.: The transferable belief model. Artif. Intell. 66(2), 191–234 (1994)

    Article  MathSciNet  Google Scholar 

  17. Zadeh, L.A.: Review of books: a mathematical theory of evidence. AI Mag. 5(3), 81–83 (1984)

    Google Scholar 

  18. Dunn, J.C.: A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters. J. Cybern. 3(3), 32–57 (1973). https://doi.org/10.1080/01969727308546046. Taylor & Francis

    Article  MathSciNet  MATH  Google Scholar 

  19. Bezdek, J.C.: Pattern Recognition with Fuzzy Objective Function Algorithms. Advanced Applications in Pattern Recognition. Springer, New York (1981). https://doi.org/10.1007/978-1-4757-0450-1

    Book  MATH  Google Scholar 

  20. Bezdek, J.C., Ehrlich, R., Full, W.: FCM: the fuzzy c-means clustering algorithm. Comput. Geosci. 10(2), 191–203 (1984)

    Article  Google Scholar 

  21. Ross, T.J.: Fuzzy Logic with Engineering Applications, 3rd edn. Wiley, Chichester (2010). oCLC: ocn430736639

    Book  Google Scholar 

  22. Breiman, L., Friedman, J.H., Olshen, R.A., Stone, C.J.: Classification and Regression Trees. Wadsworth and Brooks, Monterey (1984)

    MATH  Google Scholar 

  23. Johnson, A.E.W., et al.: A comparative analysis of sepsis identification methods in an electronic database. Crit. Care Med. 46(4), 494–499 (2018)

    Article  Google Scholar 

  24. Johnson, A.E.W., et al.: MIMIC-III, a freely accessible critical care database. Sci. Data 3, 160035 (2016)

    Article  Google Scholar 

  25. Dua, D., Graff, C.: UCI machine learning repository (2017). http://archive.ics.uci.edu/ml

  26. Nguyen, T.P., Nguyen, S., Alahakoon, D., Huynh, V.N.: GSIC: a new interpretable system for knowledge exploration and classification. IEEE Access 8, 108544–108554 (2020)

    Article  Google Scholar 

Download references

Acknowledgment

This research was supported in part by the US Office of Naval Research Global under Grant no. N62909-19-1-2031.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Thanh-Phu Nguyen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Nguyen, TP., Huynh, VN. (2020). A New Classification Technique Based on the Combination of Inner Evidence. In: Huynh, VN., Entani, T., Jeenanunta, C., Inuiguchi, M., Yenradee, P. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2020. Lecture Notes in Computer Science(), vol 12482. Springer, Cham. https://doi.org/10.1007/978-3-030-62509-2_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-62509-2_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-62508-5

  • Online ISBN: 978-3-030-62509-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics