[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Springer Nature Link
Log in

Two-stage binary classifier with fuzzy-valued loss function

  • Short Paper
  • Published:
Pattern Analysis and Applications Aims and scope Submit manuscript

Abstract

In this paper we present the decision rules of a two-stage binary Bayesian classifier. The loss function in our case is fuzzy-valued and is dependent on the stage of the decision tree or on the node of the decision tree. The decision rules minimize the mean risk, i.e., the mean value of the fuzzy loss function. The model is first based on the notion of fuzzy random variable and secondly on the subjective ranking of fuzzy number defined by Campos and González. In this paper also, influence of choice of parameter λ in selected comparison fuzzy number method on classification results are presented. Finally, an example illustrating the study developed in the paper is considered.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (United Kingdom)

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Berger J (1993) Statistical decision theory and Bayesian analysis. Springer, Berlin Heidelberg New York

    MATH  Google Scholar 

  2. Baas S, Kwakernaak H (1997) Rating and ranking of multi-aspect alternatives using fuzzy sets. Automatica 13:47–58

    Article  MathSciNet  Google Scholar 

  3. Gil M, López-Díaz M (1996) Fundamentals and Bayesian analyses of decision problems with fuzzy-valued utilities. Int J Approx Reason 15:203–224

    Article  MATH  Google Scholar 

  4. Gil M, López-Díaz M (1996) A model for Bayesian decision problems involving fuzzy-valued consequences. In: Proceedings of 6th international conference on information processing and management of uncertainty in knowledge based systems, Granada, pp 495–500

  5. Jain R (1976) Decision-making in the presence of fuzzy variables. IEEE Trans Syst Man Cybern 6:698–703

    Article  MATH  Google Scholar 

  6. Viertl R (1996) Statistical methods for non-precise data. CRC Press, Boca Raton

    MATH  Google Scholar 

  7. Kurzyński M (1983) Decision rules for a hierarchical classifier. Pattern Recognit Lett 1:305–310

    Article  MATH  Google Scholar 

  8. Kurzyński M (1988) On the multistage Bayes classifier. Pattern Recognit 21:355–365

    Article  MATH  Google Scholar 

  9. Campos L, González A (1989) A subjective approach for ranking fuzzy numbers. Fuzzy Sets Syst 29:145–153

    Article  MATH  Google Scholar 

  10. Adamo JM (1980) Fuzzy decision trees. Fuzzy Sets Syst 4:207–219

    Article  MATH  MathSciNet  Google Scholar 

  11. Yager R (1981) A procedure for ordering fuzzy subsets of the unit interval. Inf Sci 22:143–16

    Article  MathSciNet  Google Scholar 

  12. López-Díaz M, Gil MA (1998) The λ-average value of the expected value of a fuzzy random variable. Fuzzy Sets Syst 99:347–352

    Article  MATH  Google Scholar 

  13. Kurzyński M, Masaryk P, Svec V (1989) Multistage recognition system applied to the computer-aided diagnosis of some rheumatics diseases. Syst Sci Wrocław 15:59–66

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Systems and Computer Networks, Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370, Wroclaw, Poland

    Robert Burduk & Marek Kurzyński

Authors
  1. Robert Burduk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Marek Kurzyński
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Robert Burduk.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Burduk, R., Kurzyński, M. Two-stage binary classifier with fuzzy-valued loss function. Pattern Anal Applic 9, 353–358 (2006). https://doi.org/10.1007/s10044-006-0043-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10044-006-0043-9

Keywords

Search

Navigation