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Probability density functions of fuzzy random variables

โœ Scribed by Hsien-Chung Wu

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
952 KB
Volume
105
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

The concept of (fuzzy) probability density function of fuzzy random variable is proposed in this paper. Due to the "resolution identity", we can construct a closed fuzzy number from a family of closed intervals. Using the same technique, we can construct the (fuzzy) probability density function of fuzzy random variable from the known probability density function. In order to find the membership of (fuzzy) probability density of fuzzy observation from fuzzy random variable, we transform the original problem into nonlinear programming problem. Then we provide a computational method to evaluate the membership.

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