Nabanita Konwar and Pradip Debnath

DOI: 10.14456/sjst-psu.2018.72

pp. 540 - 549

Abstract

The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced in
(Debnath, 2012). As a continuation of this work, in the present paper, we introduce and study the new concept of I_∆r^s

-statistical
convergence in IFNLS. An analogous proof of the open problem discussed above with respect to I_∆r^s
-statistical convergence is
given. Also, we suggest an open problem regarding the completeness of the space with respect to this new convergence, whose
proof could open up a new area of research in nonlinear Functional Analysis in the setting of IFNLS. 

Keywords

• intuitionistic fuzzy normed linear space
• I_∆r^s-statistical convergence
• ∆-convergence