Uncertain probabilities II: the continuous case

Authors:
J. J. Buckley;E. Eslami
Affiliations:
University of Alabama at Birmingham, Birmingham, Department of Mathematics, USA;Shahid Bahonar Universty of Kerman, Department of Mathematics, Iran
Venue:
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Year:
2004

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Abstract

We consider probability density functions where some of the parameters are uncertain. We model these uncertainties using fuzzy numbers producing fuzzy probability density functions. In particular, we look at the fuzzy normal, fuzzy uniform, and the fuzzy negative exponential and show how to use them to compute fuzzy probabilities. We also use the fuzzy normal to approximate the fuzzy binomial. Our application is to inventory control (the economic order quantity model) where demand is given by a fuzzy normal probability density.