Fuzzy set representation of a prior distribution

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dc.creatorMeeden, Glen
dc.date2008-05-21
dc.date.accessioned2026-07-07T12:19:07Z
dc.date.available2026-07-07T12:19:07Z
dc.descriptionIn 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.
dc.descriptionPublished in at http://dx.doi.org/10.1214/074921708000000075 the IMS Collections (http://www.imstat.org/publications/imscollections.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0805.3205
dc.identifierhttp://arxiv.org/abs/0805.3205
dc.identifierIMS Collections 2008, Vol. 3, 82-88
dc.identifierdoi:10.1214/074921708000000075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212643
dc.subjectStatistics Theory
dc.subject62F15 (Primary) 62C05 (Secondary)
dc.titleFuzzy set representation of a prior distribution
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