摘要
已有的复模糊函数的微分是由复区间值函数的微分和扩张原理给出的,本文利用模糊结构元理论及模糊数的广义限定运算给出与已有的复模糊函数微分等价的定义,同时给出模糊复函数微分的定义,并讨论其解析性质,给出模糊复函数解析的充要条件。
The differential of complex fuzzy function that exited mainly used interval-valued function differential and extension principle. This paper combined fuzzy structured element theory with generalized subtractive operation to define the differential of complex fuzzy function, then prove that it＇s equivalent to the previous definition. At the same time, we define fuzzy complex function differential, then further discussed the analytical nature. Obtain the necessary and sufficient condition of fuzzy complex function differentiable.
出处
《模糊系统与数学》
CSCD
北大核心
2013年第4期6-12,共7页
Fuzzy Systems and Mathematics
基金
教育部高校博士学科点专项科研基金资助项目(20102121110002)
关键词
模糊结构元
复模糊函数
模糊复函数
微分
Fuzzy Structured Element
Complex Fuzzy Function
Fuzzy Complex Function
FunctionDifferential
