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**Fuzzy normed space of operators and its completeness.**
*(English)*
Zbl 1032.46096

Summary: A new definition of the fuzzy norm of a linear operator from one fuzzy normed linear space into another is introduced and the boundedness of such an operator is described. Furthermore, the space of all bounded linear operators endowed with this fuzzy norm is studied; consequently, its topological structure as well as completeness is given, and that it can itself be made into a fuzzy normed linear space is also shown.

### MSC:

46S40 | Fuzzy functional analysis |

### Keywords:

fuzzy analysis; fuzzy topology; fuzzy normed linear space; fuzzy norm of operator; boundedness; completeness
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\textit{J. Xiao} and \textit{X. Zhu}, Fuzzy Sets Syst. 133, No. 3, 389--399 (2003; Zbl 1032.46096)

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DOI

### References:

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