Lacunary Statistical Limit and Cluster Points of Generalized Difference Sequences of Fuzzy Numbers

Abstract

The aim of present work is to introduce and study lacunary statistical limit and lacunary statistical cluster points for generalized difference sequences of fuzzy numbers. Some inclusion relations among the sets of ordinary limit points, statistical limit points, statistical cluster points, lacunary statistical limit points, and lacunary statistical cluster points for these type of sequences are obtained.

On generalized statistical convergence of order β of sequences of fuzzy numbers

“…Later on sequences of fuzzy numbers have been discussed by Altinok et al [8,10], Altin et al [36], Burgin [21], Hančl et al [16], Fang and Hung [19], Kumar et al. [28][29][30][31]35], Wang and Xi [7], Aytar and Pehlivan [33], Mursaleen and Başarır [26], Tripathy and Baruah [3], Tripathy and Dutta [4] and many others.…”