On Lacunary Almost Statistical Convergence of Generalized Difference Sequences of Fuzzy Numbers

The purpose of this paper is to introduce the concepts of lacunary almost statistical convergence and strongly almost convergence of generalized difference sequences of fuzzy numbers. We obtain some results related to these concepts. It is also shown that lacunary almost statistical convergence and strongly almost convergence are equivalent for bounded sequences of fuzzy numbers. θ m Δ θ m Δ m Δ Salat [12] , Tripathy [14] , Connor [10] and many others. In recent years, generalizations of statistical convergence have appeared in the study of strong integral summability and the structure of ideals of bounded continuous functions on locally compact spaces. Statistical convergence and its generalizations are also connected with subsets of the Stoneech compactification of the natural numbers. Moreover, statistical convergence is closely related to the concept of convergence in probability. C 2. Definitions and Preliminaries