摘要
在已提出模糊结构元概念及模糊数与模糊值函数的结构元表示的基础上,进一步给出了模糊结构元生成的模糊值函数的一般表达形式,并得到了一般表达形式下的模糊值函数的连续性和微分、积分(黎曼意义下)的定义,它们与传统模糊分析中相应定义是等价的。
The concept of fuzzy structured element and the structured element representation theorem of fuzzy number and fuzzy-valued function are advanced. At one time, the calculated method of differential and Riemann integral of fuzzy-valued functions according to the fuzzy structured element method also is gaved. The commonly expression form of the fuzzy-valued function using the fuzzy structured element method is more presented. By this commonly expression form, some new definitions of the continuity and the calculus of the fuzzy-valued functions are also obtained. These new definitions and corresponding definitions of the ordinary fuzzy analysis are equivalence.
出处
《科学技术与工程》
2004年第7期513-517,528,共6页
Science Technology and Engineering
基金
国家自然科学基金(50174027
50244015)
关键词
模糊分析
模糊结构元
模糊值函数
微积分
Fuzzy analysis
Fuzzy structured element
calculus of fuzzy-valued functions
