摘要
本文以定义在可测空间上函数的可测性为基础,建立了函数覆盖测度的基本公式。若一个随机模糊事件由定义在可测空间上的映射刻划,则可把已建立的基本公式用于求该事件发生的测度值。这些公式是有普遍意义的,因为它们对可测空间没有特殊要求,它既可以是概率可测的,也可以是一般点集可测的,甚至是两种或多种可测性兼而有之。
Based on the measureability of the functions defined on the measurable space, some basic formulations for the measurement of function covering are set up.If a fuzzy random event is described by the mapping on the measurable space,its meas- ure value can be calculated by the basic formulations which have been set up.These formulations are general,because they have no special requirements for the measurable space.It can either be probabilistic measurement,or ordinary set meas- urement,or even their combinations.
基金
国家自然科学基金与建设部资助项目
关键词
随机模糊
测度
度量
可测空间
measurable space
measure
function covering
