Bilalov B.T and Guliyeva F.A.
Fuzzy Banach space is considered. The concepts of fuzzy completeness, fuzzy minimality, fuzzy biorthogonality, fuzzy basicity and fuzzy space of coefficients are introduced. Weakly completeness of fuzzy space of coefficients with regard to fuzzy norm and weakly basicity of canonical system in this space are proved. Weakly basicity criterion in fuzzy Banach space is presented in terms of coefficient operator.