Fuzzy normed space of operators and its completeness

In this paper the 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. [Copyright &y& Elsevier]