%0 Journal Article %T Fuzzy set representation of a prior distribution %A Glen Meeden %J Mathematics %D 2008 %I arXiv %R 10.1214/074921708000000075 %X 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. %U http://arxiv.org/abs/0805.3205v1