摘要
本文直接从泛线性泛函的观点出发定义了初等泛积分,并定义了可测函数的概念,讨论了它的一些性质;泛可加Fuzzy测度做为初等泛积分的一个特例出现;最后,建立说明了初等泛积分的真实意义。本文也可看成为泛可加的Fuzzy测度与积分的泛线性泛函表示。
In this paper, elementary Pan-integral is defined directly from view of universal linear unctional; and the concept of a nonnegative measurable function is given, It's some properties are discussed; Pan-addtive fuzzy measure is a example of elementary Pan- It tegral in this paper; real meaning of elementary Pan-Integral is given lastly.
出处
《河北大学学报(自然科学版)》
CAS
1992年第3期18-24,共7页
Journal of Hebei University(Natural Science Edition)
关键词
初等泛积分
可测函数
泛模糊积分
Pan-additive fuzzy measure, Elementary Pan-integral, Measurable funtion