Savaş, Ekrem2015-07-102015-07-1020150354-5180https://hdl.handle.net/11467/934http://dx.doi.org/10.2298/FIL1506223SIn this paper, following a very recent and new approach of [1] and [2] we further generalize recently introduced summability methods in [11] and introduce new notions, namely, I-statistical convergence of order and I-lacunary statistical convergence of order , where 0 < 1 for sequences of sets. We mainly study their relationship and also make some observations about these classes and in the way try to give a proof of theorem which is not proved in [31]. The study leaves a lot of interesting open problems.eninfo:eu-repo/semantics/openAccessI-Statistical Convergence; I-Lacunary Statistical Convergence; Wijsman Statistical Convergence; Statistical Convergence Of Order Alpha; Wijsman Lacunary Statistical Convergence.ArticleQ3WOS:000356615900008Q32-s2.0-84930388366