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∆rs
-statistical convergence in IFNLS. An analogous proof of the open problem discussed above with respect to I∆rs -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.
