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A k-nearest neighbor classification rule based on Dempster-Shafer theory

Denoeux, T.·1995·IEEE Transactions on Systems, Man, and Cybernetics

Abstract

In this paper, the problem of classifying an unseen pattern on the basis of its nearest neighbors in a recorded data set is addressed from the point of view of Dempster-Shafer theory. Each neighbor of a sample to be classified is considered as an item of evidence that supports certain hypotheses regarding the class membership of that pattern. The degree of support is defined as a function of the distance between the two vectors. The evidence of the k nearest neighbors is then pooled by means of Dempster's rule of combination. This approach provides a global treatment of such issues as ambiguity and distance rejection, and imperfect knowledge regarding the class membership of training patterns. The effectiveness of this classification scheme as compared to the voting and distance-weighted k-NN procedures is demonstrated using several sets of simulated and real-world data.>

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Metadata

Authors
Denoeux, T.
Venue
IEEE Transactions on Systems, Man, and Cybernetics
Published
1995-05
Volume
25
Issue
5
Pages
804-813
ISSN
0018-9472 (ISSN-L)
OpenAlex
W2403746960
Cited by
1,013
References
12
FWCI
8.14
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A k-nearest neighbor classification rule based on Dempster-Shafer theory. https://app.cochat.ai/papers/10.1109/21.376493
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Denoeux, T. (1995). A k-nearest neighbor classification rule based on Dempster-Shafer theory. IEEE Transactions on Systems, Man, and Cybernetics. https://doi.org/10.1109/21.376493

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