Affiliations: [a] Department of Mathematics, North Eastern Regional Institute of Science and Technology, Nirjuli, Arunachal Pradesh, India
| [b] Department of Mathematics, Yazd University, Yazd, Iran
| [c] Department of Applied Science and Humanities, Assam University, Silchar, Cachar, India
Correspondence:
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Corresponding author. Pradip Debnath, Department of Applied Science and Humanities, Assam University, Silchar, Cachar - 788011, India. Tel.: +91 8575 158469; Fax: +91 3602 258533. E-mails: [email protected] and [email protected].
Abstract: In this paper we study approximation properties (APs) and bounded approximation properties (BAPs) in the setting of intuitionistic fuzzy n-Banach spaces (IFnBSs). Further, we define strong intuitionistic fuzzy n-continuous and strong intuitionistic fuzzy n-bounded operators and using them we prove the existence of an IFnBS with AP. In addition, we provide examples which show that there exist IFnBSs with the AP which fail to have the BAP.
