On Some Fuzzy Classification Algorithms and the AEC Model

Author:

Osipov Andrey1

Affiliation:

1. Federal State Institution “Scientific-Research Institute for System Analysis of the Russian Academy of Sciences”, Moscow, Russia

Abstract

In the paper some fuzzy classification algorithms based upon a nearest neighbor decision rule areconsidered in terms of the pattern recognition algorithms which are based on the computation of estimates (theso-called AEC model). It is shown that the fuzzy K nearest neighbor algorithm can be assigned to the AECclass. In turn, it is found that some standard AEC algorithms, which depend on a number of numericalparameters, can be used as fuzzy classification algorithms. Yet among them there exist algorithms extremalwith respect to these parameters. Such algorithms provide maximum values of the associated performancemeasures.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Computer Science Applications,Control and Systems Engineering

Reference16 articles.

1. Bezdek, J.C., Keller, J., Krisnapuram, R., Pal, N. Fuzzy models and algorithms for pattern recognition and image processing. The handbooks of fuzzy set series.vol. 4, Springer Science & Business Media, 2006.

2. Gribkov, I.V., Koltsov, P.P., Kotovich, N.V., Kravchenko, A.A., Koutsaev, A.S., Osipov, A.S., & Zakharov, A.V. Empirical evaluation of Image Processing Methods Using PICASSO 2 System. WSEAS Transactions on Systems, Vol.4, No.11, 2005, pp. 1923-1930.

3. A. Osipov, A fuzzy approach to performance evaluation of edge detectors, Proceedings of the 7th WSEAS International Conference on Signal, Speech and Image Processing (SSIP’07), Beijing, China, September 15-17 2007, pp. 94-99.

4. A. Osipov, Some fuzzy tools for evaluation of computer vision algorithms, International Journal of Computer Vision and Image Processing, Vol.8, Issue 1, 2018, pp. 1-14.

5. Yu. I. Zhuravlev, V. V. Nikiforov, Recognition algorithms based on computation of estimates, Cybernetics, Vol.7, No.3, 1971, pp. 387-400.

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