@article{ref1,
title="A cover technique to verify the reliability of a model for calculating fuzzy probabilities",
journal="International journal of disaster risk science",
year="2011",
author="Huang, Chongfu",
volume="2",
number="3",
pages="1-10",
abstract="Many models have been suggested to calculate fuzzy probabilities in risk analysis. In general, the reliability of a model is demonstrated by practical effects or proved theoretically. In this article we suggest a new approach called the cover technique to verify the model's reliability. The technique is based on a hypothesis that a statistical result can approximately confirm a fuzzy probability as a fuzzy-set-valued probability. A cover is constructed by many bi-probability distributions. The consistency degree of a cover and a fuzzy probability distribution is employed to verify the reliability of a model. We present a case that shows how to construct a distribution-cover and calculate the consistency degree of the cover and a possibility-probability distribution. A series of numerical experiments with random samples from a normal distribution verify the reliability of the interior-outer-set model.<p />",
language="",
issn="2095-0055",
doi="10.1007/s13753-011-0011-x",
url="http://dx.doi.org/10.1007/s13753-011-0011-x"
}