复Fuzzy函数的连续性与可微性刻划

在复Ｆｕｚｙ数度量空间上讨论复Ｆｕｚｙ函数，刻划了复Ｆｕｚｚｙ函数的连续性与可微性。给出复Ｆｕｚｚｙ函数连续的３个等价条件，局部连续亏量等于零；与某个连续函数的序列距离等于零；局部连续差距等于零。引进复Ｆｕｚｙ函数Ｆｕｚｚｙ连续的概念，给出复Ｆｕｚｚｙ连续的３个等价条件，局部连续值大于零；与某个连续函数的序列距离有限；点有界。并进一步给出复Ｆｕｚｚｙ函数可微的充分必要条件，即它的支撑函数可微等结果。

The Continuity and Differentiation of Complex Fuzzy Functions

The authors consider complex fuzzy functions on the metric space of complex fuzzy numbers. The continuity and differentiation of complex fuzzy functions are studied. Three equivalent conditions of the continuity are given,the local continuity defect is equal to zero;the sequentinat distance between the complex fuzzy function and some continuous functions is equal to zero;the local continuity flaw is equal to zero. The fuzzy continuous concept of complex fuzzy functions are introduced and the authors give three equivalent conditions of the fuzzy continuity,the local continuity estimate is great than zero;the sequentinat distance between the complex fuzzy function and some continuous function is finite;the point bounded.The authors give further a profound result,the complex fuzzy function is differential if and only if its support function is differential.