泛Fuzzy积分

Pan-Fuzzy Integral

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.