On strong consistency of the fuzzy generalized nearest neighbor rule

DOI10.1016/0165-0114(93)90438-NzbMath0795.62059OpenAlexW2170126854MaRDI QIDQ1319426

Miin-Shen Yang, Chih-Tien Chen

Publication date: 19 April 1994

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(93)90438-n

zbMATH Keywords

loss functionBayes riskfuzzy \(k\) nearest neighbor rulestrong consistency of posterior risk

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Bayesian problems; characterization of Bayes procedures (62C10)

Related Items (2)

A survey of fuzzy clustering ⋮ Convergence rate of the fuzzy generalized nearest neighbor rule

Cites Work

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• Generalized k-nearest neighbor rules
• A fuzzy extended \(k\)-nearest neighbors rule
• ON STOCHASTIC CONVERGENCE THEOREMS FOR THE FUZZYC-MEANS CLUSTERING PROCEDURE∗
• Discriminatory Analysis. Nonparametric Discrimination: Consistency Properties
• Fuzzy sets
• Nearest neighbor pattern classification
• Estimation by the nearest neighbor rule
• Convergence of the nearest neighbor rule

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