On fuzzy real valued asymptotically equivalent sequences and lacunary ideal convergence

Abstract

In this paper we present some definitions which are the natural combination of the definition of asymptotic equivalence, statistical convergence, lacunary statistical convergence of fuzzy real numbers and ideal. In addition, we also present asymptotically ideal equivalent sequences of fuzzy real numbers and establish some relations related to this concept. Finally we introduce the notion of Cesaro Orlicz asymptotically equivalent sequences of fuzzy real numbers and establish their relationship with other classes.