Abstract
The random variable with fuzzy probability caused by fuzziness of probability density function was studied. The basic concepts/ definitions and calculating methods of the interval/fuzzy probability density function, the random variable with fuzzy density function (RVFDF) and its distribution function, mathematical expectation and variance are given and same theorems related to the RVFDF are proved.
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Communicated by ZHANG Ru-qing
CLC number: 0159
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En-ling, L., You-wing, Z. Mathematic description about random variable with fuzzy density function (RVFDF). Appl Math Mech 21, 957–964 (2000). https://doi.org/10.1007/BF02428366
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DOI: https://doi.org/10.1007/BF02428366