Mathematic Description About Random Variable With Fuzzy Density Function(RVFDF)

LÜ En-ling; ZHONG You-ming

Volume 21 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(8): 861-869

LÜ En-ling, ZHONG You-ming. Mathematic Description About Random Variable With Fuzzy Density Function(RVFDF)[J]. Applied Mathematics and Mechanics, 2000, 21(8): 861-869.

Citation:

LÜ En-ling, ZHONG You-ming. Mathematic Description About Random Variable With Fuzzy Density Function(RVFDF)[J]. Applied Mathematics and Mechanics, 2000, 21(8): 861-869.

Citation:

LÜ En-ling, ZHONG You-ming. Mathematic Description About Random Variable With Fuzzy Density Function(RVFDF)[J]. Applied Mathematics and Mechanics, 2000, 21(8): 861-869.

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Mathematic Description About Random Variable With Fuzzy Density Function(RVFDF)

Department of Engineering Mechanics, Chongqing University, Chongqing 400044, P R China

Received Date: 1999-09-03
Rev Recd Date: 2000-04-26
Publish Date: 2000-08-15

Abstract

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 some theorems related to the RVFDF are proved.
- fuzzy set,
- random variable,
- numerical character

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References(3)

References

[1]	张跃,王光远.模糊随机动力系统理论[M].贵阳;贵州科学技术出版社,1995,45-62.
[2]	叶庆凯,郑应平.变分法及其应用[M].北京;国防工业出版社,1991,88-93.
[3]	Dubois D, Prade H.Fuzzy Sets and System:Theory and Applications[M].New York:Academic Press,1980.

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