模糊密度随机变量的数学描述

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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

摘要: 研究了由于概率密度函数的模糊性而引起的模糊概率随机变量问题。给出了区间密度函数、模糊密度函数、模糊密度随机变量及其分布函数和模糊密度随机变量的模糊数学期望、模糊方差等基本概念及定义和计算方法,并证明了有关定理。
- 模糊集 /
- 随机变量 /
- 数字特征
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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