Fuzzy set representation of a prior distribution

Details Fuzzy set representation of a prior distribution Fuzzy set representation of a prior distribution

2008-05-21

arxiv.org/abs/0805.3205v1

IMS Collections 2008, Vol. 3, 82-88

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/074921708000000075 the IMS Collections (http://www.imstat.org/publications/imscollec

Scientific paper

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.

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