On a possible generalization of the Bayes method of inference

DOI10.1016/0165-0114(90)90031-ZzbMath0716.62004MaRDI QIDQ753309

Krzysztof Piasecki, Radko Mesiar

Publication date: 1990

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

zbMATH Keywords

Zadeh's extension principleinvolutionBayes Formula problemfuzzy P- measurefuzzy probability spacegeneralized operator of complementKlement's fuzzy probability measureOvchinnikov's operator of complementvariable pointwise involutionZadeh operator of complement

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Theory of fuzzy sets, etc. (03E72) Probabilistic measure theory (60A10) Foundations of probability theory (60A99) Sufficiency and information (62B99)

Related Items (1)

THE BAYES PRINCIPLE AND THE ENTROPY ON FUZZY PROBABILITY SPACES

Cites Work

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• General negations in fuzzy set theory
• On the Bayes formula for fuzzy probability measures
• Probability of fuzzy events defined as denumerable additivity measure
• On symmetric algebras of fuzzy sets
• Note to ``On the Bayes formula for fuzzy probability measures
• Fuzzy probability measures
• The concept of a linguistic variable and its application to approximate reasoning. I
• On the analytic formalism of the theory of fuzzy sets
• Fuzzy sets

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