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

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.