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Fuzzy set representation of a prior distribution

Glen Meeden

Abstract

In the subjective Bayesian approach uncertainty is described by a prior distribution chosen by the statistician. Fuzzy set theory is another way of representing uncertainty. Here we give a decision theoretic approach which allows a Bayesian to convert their prior distribution into a fuzzy set membership function. This yields a formal relationship between these two different methods of expressing uncertainty.

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Primary Subjects: 62F15
Secondary Subjects: 62C05
Keywords: Bayesian inference; fuzzy sets; prior distribution
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.imsc/1209398462
Digital Object Identifier: doi:10.1214/074921708000000075

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2012 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Collections

Institute of Mathematical Statistics Collections