Generalized lacunary ideal convergence for sequences of fuzzy numbers

In this study, we mention the concept of ideal convergence which is based on the concepts of ideal and filter in the set of natural numbers and general case of the statistical convergence with wide application areas in the sequence spaces and summability theory. We give I-convergence and I*-convergence of ideal convergence that has several convergence kinds for sequences of fuzzy numbers and examine relations between them. Furthermore, we give the notions of I-statistical convergence, I-lacunary statistical convergence of order α for 0˂α≤1 and α-I-lacunary convergence and examine some inclusion relations between these concepts.