模糊Henstock积分  

The fuzzy Henstock integrals

作　　者：汪玲[1] 巩增泰[2] 

机构地区：[1]甘肃政法学院计算机科学学院,甘肃兰州730070 [2]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《兰州理工大学学报》2006年第4期133-137,共5页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(3ZS041-A25-004)

摘　　要：在计算模糊随机变量的期望时,往往需要计算无穷区间上的模糊积分,而当模糊分布函数具有某种不连续性时,利用现有的模糊积分进行计算将受到限制.基于这种考虑,定义了无穷区间上的模糊Henstock积分.利用模糊数值函数的Henstock可积与其端点函数的一致Henstock可积的等价性,将模糊Henstock积分的隶属函数转化为非线性规划问题,并通过最优化软件求解.It is always necessary to calculate the fuzzy integrals on infinite interval when the expectation of fuzzy random variables are to be found. But the calculation of fuzzy integrals available will be restrained when the fuzzy distributive function has some kind of discontinuity. Thus we available defined a fuzzy Henstock integral on infinite interval. The membership function of fuzzy Henstock integral was transformed into nonlinear programming problem bY using the equivalence of Henstock integrability of fuzzyvalued functions and uniform Henstock integrability of their end point functions. And it was solved with the software of optimizers.

关 键 词：模糊数值函数 模糊Henstock积分 非线性规划 最优化方法 数值积分 

分 类 号：O159[理学—数学]