Lacunary Statistical and Lacunary Strongly Convergence of Generalized Difference Sequences of Fuzzy Numbers

The purpose of this paper is to introduce the concepts of lacunary statistical convergence and lacunary strongly convergence of generalized difference sequences of fuzzy numbers. We give some relations related to these concepts. We show that lacunary Δm-statistical convergence and lacunary strongly -convergence are equivalent for Δm-bounded sequences of fuzzy numbers. We also introduce the concept of lacunary Δm-statistically Cauchy sequence and show that it is equivalent to the lacunary Δm-statistical convergence.