Open Access
VOL. 3 | 2008 Fuzzy set representation of a prior distribution
Glen Meeden

Editor(s) Bertrand Clarke, Subhashis Ghosal

Inst. Math. Stat. (IMS) Collect., 2008: 82-88 (2008) DOI: 10.1214/074921708000000075


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.


Published: 1 January 2008
First available in Project Euclid: 28 April 2008

MathSciNet: MR2459218

Digital Object Identifier: 10.1214/074921708000000075

Primary: 62F15
Secondary: 62C05

Keywords: Bayesian inference , fuzzy sets , prior distribution

Rights: Copyright © 2008, Institute of Mathematical Statistics

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