Results on Approximation Properties in Intuitionistic Fuzzy Normed Linear Spaces

Abstract

In this paper we introduce the notions approximation properties (APs) and bounded approximation properties
(BAPs) in the setting of intuitionistic fuzzy normed linear spaces (IFNLSs). Further, we define strong intuitionistic
fuzzy continuous and strong intuitionistic fuzzy bounded operators and using them we prove the existence of an
IFNLS which does not have the approximation property. In addition, we give example of an IFNLS with the AP
which fails to have the BAP.