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Some bounds on probability of error in fuzzy discrimination problems. (English) Zbl 0738.68069

The authors consider the fuzzified Bayes method in order to solve the discrimination problem. Three cases are studied: fuzzy classes and exact information, exact classes and fuzzy information, and fuzzy classes and fuzzy information. In each case information energy is used. The authors provide bounds for the average error probability related to fuzzy Bayesian classifiers.

MSC:

68T10 Pattern recognition, speech recognition
62C10 Bayesian problems; characterization of Bayes procedures
94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
94A17 Measures of information, entropy
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