LÜ En-lin, ZHONG You-ming. Random Variable With Fuzzy Probability[J]. Applied Mathematics and Mechanics, 2003, 24(4): 434-440.
Citation: LÜ En-lin, ZHONG You-ming. Random Variable With Fuzzy Probability[J]. Applied Mathematics and Mechanics, 2003, 24(4): 434-440.

Random Variable With Fuzzy Probability

  • Received Date: 2001-04-10
  • Rev Recd Date: 2002-11-05
  • Publish Date: 2003-04-15
  • Mathematic description about the second kind fuzzy random variable namely the random variable with crisp event-fuzzy probability was studied. Based on the interval probability and using the fuzzy resolution theorem,the feasible condition about a probability fuzzy number set was given,go a step further the definition and characters of random variable with fuzzy probability(RVFP) and the fuzzy distribution function and fuzzy probability distribution sequence of the RVFP were put forward.The fuzzy probability resolution theorem with the closing operation of fuzzy probability was given and proved. The definition and characters of mathematical expectation and variance of the RVFP were studied also. All mathematic description about the RVFP has the closing operation for fuzzy probability,as a result,山e foundation of perfecting fuzzy probability operation method is laid.
  • loading
  • [1]
    武小悦,沙基昌.具有Fuzzy概率的Fuzzy可靠性问题的求解途径[J].模糊系统与数学,1997,11(3):8-11.
    [2]
    崔玉玲,李延杰.清晰事件模糊概率(CF型)模糊可靠性研究[J].系统工程理论与实践,1991,11(6):41-45.
    [3]
    Dubois D,Prade H.Fuzzy Sets and System:Theory and Applications[M].New York:Academic Press,1980.
    [4]
    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.
    [5]
    王柏生.单源模糊数及其运算[J].模糊系统与数学,1998,12(2):49-53.
    [6]
    钟佑明,吕恩琳,王应芳.区间概率随机变量及其数字特征[J].重庆大学学报,2001,24(1):24-27.
    [7]
    王明文.基于概率区间的Bayes决策方法[J].系统工程理论与实践,1997,17(11):79-80.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2124) PDF downloads(587) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return