The Intuitionistic Fuzzy Normed Space of Coefficients

Abstract

Intuitionistic fuzzy normed space is defined using concepts of $t$-norm and $t$-conorm. The concepts of fuzzy completeness, fuzzy minimality, fuzzy biorthogonality, fuzzy basicity, and fuzzy space of coefficients are introduced. Strong completeness of fuzzy space of coefficients with regard to fuzzy norm and strong basicity of canonical system in this space are proved. Strong basicity criterion in fuzzy Banach space is presented in terms of coefficient operator.