关于结构元线性生成的模糊值函数的极限

在模糊数、模糊函数微积分、模糊级数和模糊微分方程等方面的研究大多数是概念和结构性的讨论。模糊结构元概念的引入,开辟了一种新思路。对于地权学分析理论渗透到模糊数学中,以及为模糊数学的理论研究和拓展应用具有重要意义。在模糊结构元基础上定义了模糊数的一种度量,研究了模糊值函数的极限与连续,给出几个定义并加以证明。

The Limit of the Fuzzy-valued Function Based on the Structural Element Linear Generation

A lot of useful work and meaningful attempts have been done in fuzzy numbers,fuzzy functions,the calculus of fuzzy fuctions,fuzzy series and fuzzy differential equations,but mast are conceptual and stractual discusson.The intrudction of the concept of fuzzy structare elements opened a new line of thought.It has great significance of the infiltration of the idea of mathmatical analysis into the theory of fuzzy math and both the theoretical study and extended use of fuzzy math.In this paper,on the basis of fuzzy structure elements,defined a measure of fuzzy numfers,studied the limit and contiuity of fuzzy functions,presented several theorems and proved them.