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基于结构元线性生成的复Fuzzy值函数项级数
引用本文:陈孝国. 基于结构元线性生成的复Fuzzy值函数项级数[J]. 模糊系统与数学, 2012, 26(4): 94-98
作者姓名:陈孝国
作者单位:黑龙江科技学院理学院,黑龙江哈尔滨,150027
基金项目:黑龙江省教育厅科学技术研究项目,黑龙江科技学院基金资助项目
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。

关 键 词:模糊结构元  复Fuzzy值函数项级数  收敛

Complex Fuzzy-valued Function's Series Based on Fuzzy Structured Element
CHEN Xiao-guo. Complex Fuzzy-valued Function's Series Based on Fuzzy Structured Element[J]. Fuzzy Systems and Mathematics, 2012, 26(4): 94-98
Authors:CHEN Xiao-guo
Affiliation:CHEN Xiao-guo(School of Science,Heilongjiang Institute of Science and Technology,Harbin 150027,China)
Abstract: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.
Keywords:Fuzzy Structured Element  Complex Fuzzy-valued Function’s Series  Convergence
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