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Issue:A F-operator intuitionistic fuzzy version of the nearest neighbor classifier

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Title of paper: A F-operator intuitionistic fuzzy version of the nearest neighbor classifier
Author(s):
Stefan Hadjitodorov
Centre for Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
sthadj@argo.bas.bg
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 6 (2000) Number 1, pages 1—6
Download:  PDF (288  Kb, File info)
Abstract: A F-operator intuitionistic fuzzy version of one of the basic statistical nonparametrical methods, the nearest prototype (respectively nearest neighbor - NN) classification method, is proposed. It is based on a procedure of adjusting the degrees of membership, nonmembership and indeterminacy to the nearest class by means of the F-operator. The parameter values of that operator iteratively take into account the distances to the prototype (mean) vector of the class, to the 1- NN which belongs to that nearest class, to the 3- NN, to the 5- NN, etc. The procedure stops when the degree of indeterminacy is considerably diminished and the degree of membership reaches a sufficiently high value and in this way increases the confidence in the classification decision.
Keywords: Pattern recognition, Fuzzy classification, Intuitionistic fuzzy sets, Fuzzy NN classifier
References:
  1. J.C. Bezdek, S.K. Chuali and D.Leep, Generalized K - Nearest Neighbor Rules, Fuzzy Sets and Systems 18 (1986) 237-256.
  2. A.F. Blishun, Comparative Analysis of Methods for Fuzziness Measuring, Ann. USSR Acad. Sci. Techn. Cyber. 5 (1988) 152-175, (in Russian).
  3. D.Cabello, S.Barro, J.M. Salceda, R. Ruiz and J. Mira, Fuzzy K- Nearest Neighbor Classifiers for Ventricular Arrhythmia Detection, Int. J Bio-Medical Computing 27 (1991) 77-93.
  4. K. Fukunaga, Introduction to Statistical Pattern Recognition, (Nauka, Moscow, 1979), (in Russian).
  5. S.T. Hadjitodorov, A Fuzzy Method for Pattern Classification, Avtomatika, Izchislitelna Technika i Avtomatizirany Systemy 4 (1987) 8-11, (in Bulgarian).
  6. B. Hussien, R. McLaren and S. Bleha, An Application of Fuzzy Algorithms in a Computer Access Security System, Pattern Recognition Letters 9 (1989) 39-43.
  7. A. Jousselin and B. Dubuisson, A Link between K-NN rules and Knowledge Based Systems by Sequence Analysis, Pattern Recognition Letters 6 (1987) 287-295.
  8. A.A. Jozwik, A Learning Scheme for a Fuzzy K - NN Rule, Pattern Recognition Letters 1 (1983) 287-289.
  9. J.M. Keller, M.R. Gray and J.A. Givens , Fuzzy K -Nearest Neighbor Algorithm, IEEE Trans. on Systems, Man and Cyber , SMC 15 (1985) 580-585.
  10. J.M. Keller and J.A. Givens, Membership Function Issues in Fuzzy Pattern Recognition, in: Proc Int.Confon Cybernetics and Society, (USA, Arizona, 1985) 210 - 214.
  11. V.T. Kissiov and S.T. Hadjitodorov, The K - NN Method by Fuzzy Description of the Classes, Avtomatika, Izchislitelna Technika i Avtomatizirany Systemy 3 (1988) 5 - 7, ( in Bulgarian ).
  12. V.T. Kissiov and S. Hadjitodorov, A Fuzzy version of the K-NN Method, Fuzzy Sets and Systems 49, (1992) 323-329.
  13. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and systems 20,(1986), 87-96.
  14. K. Atanassov, More on Intuitionistic Fuzzy Sets, Fuzzy Sets and systems 33,(1989),37-46.
  15. Hadjitodorov, S. An intuitionistic fuzzy sets application of the K-NN method. Notes on Intuitionistic Fuzzy Sets, vol 1, No 1, 1995, 66-69.
  16. Hadjitodorov, S: T. Intuitionistic fuzzy versions of K-NN method and their application to respiratory distress syndrome detection. Notes on Intuitionistic Fuzzy Sets, vol 4, No 4, 1998, pp. 62-67.
  17. K. Atanassov, Review and new results on intuitionistic fuzzy sets. Proc. of seminar "Mathematical foundations of artificial intelligence", Institute for microsystems, Sofia, 1985
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