Felbin模糊赋范线性空间上一类模糊有界算子  

Class of fuzzy bounded operators in Felbin's type fuzzy normed linear spaces

作　　者：常晓璇 纪培胜[1] 

机构地区：[1]青岛大学数学与统计学院,山东青岛266071

出　　处：《山东大学学报（理学版）》2017年第2期49-54,共6页Journal of Shandong University(Natural Science)

摘　　要：提出了Felbin模糊赋范线性空间上一类模糊有界算子的模糊范数的定义,指出了此类模糊有界算子构成模糊赋范线性空间,研究了此空间赋此模糊范数的拓扑结构和完备性。The definition of the fuzzy norm of a class of fuzzy bounded operators in Felbin＇s type fuzzy normed spaces is introduced. Furthermore,it is showed that the class of fuzzy bounded operators endowed with this fuzzy norm is still a fuzzy normed space,and its topological structure as well as completeness is studied.

关 键 词：模糊泛函分析 模糊赋范线性空间 模糊范数 完备性 

分 类 号：O177.99[理学—数学]