摘要
文献[1]中提出了基于结构元理论的Fuzzy数项级数的概念,文献[2]、文献[3]、文献[4]对其收敛性进行了探讨,文献[5]、文献[6]对模糊值函数项数列及级数进行了研究。本文在此基础上给出了基于结构元线性生成的复Fuzzy值函数项数列及级数的定义,同时对复Fuzzy值函数项级数的一些重要性质进行了研究,并给出了相应定理。
The definition of fuzzy series based on fuzzy structured element is advanced in paper [1].Then the convergence of fuzzy series is discussed in papers ,and [4].At the same time,the fuzzy-valued function sequence and series are studied in papers [5] and [6].In this paper,the definitions of linear complex fuzzy-valued function's sequence and series are given based on structured element.At the same time,some important properties of complex fuzzy-valued function's series are studied.Finally,some corresponding theorems are given.
出处
《模糊系统与数学》
CSCD
北大核心
2012年第4期94-98,共5页
Fuzzy Systems and Mathematics
基金
黑龙江省教育厅科学技术研究项目(11513096)
黑龙江科技学院基金资助项目(06-32)
关键词
模糊结构元
复Fuzzy值函数项级数
收敛
Fuzzy Structured Element
Complex Fuzzy-valued Function's Series
Convergence