Abstract
Our goal in the present paper is to recall the concept of general fuzzy normed space and its basic properties to define the general fuzzy bounded operator as a background to introduce the notion general fuzzy norm of a general fuzzy bounded linear operator. After that we proved any operator from a general fuzzy normed space into a general complete general fuzzy normed space has an extension. Also we prove that a general fuzzy bounded operator on a general fuzzy normed space is equivalent to a general fuzzy continuous. Finally different types of fuzzy approaches of operators is introduced in order to prove that the general fuzzy normed space GFB(V,U) is general complete when U is general complete.
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