Fuzzy值连续函数与Fuzzy值函数的序列收敛

Fuzzy Continuous Functions and Sequent Convergence of Fuzzy Functions

利用Ｆｕｚｚｙ数的Ｆｕｚｚｙ距离定义了Ｆｕｚｚｙ值连续函数的序列收敛，证明了Ｆｕｚｚｙ值连续函数与Ｆｕｚｚｙ值连续函数的和差仍是Ｆｕｚｚｙ值连续函数；如果Ｆｕｚｚｙ值函数序列的每项Ｆｕｚｚｙ值连续，则其极限也Ｆｕｚｚｙ值连续；在一致连续的条件下，积分号和极限号、微分号和极限号可交换．

The distance of fuzzy numbers is used to define both the fuzzy continuous Auctions and the sequent convergence of fuzzy functions. Their properties are also investigated. The results show that both the sum / difference of fuzzy continuous functions are fuzzy continuous functions and if each term is fuzzy continuous functions in sequence of fuzzy functions, its limit is also fuzzy continuous. In case of consistent continuous functions, integral sign and limit sign are interchangeable, so are differential sign and limit sign.