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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
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