Almost ideal statistical convergence and strongly almost ideal lacunary convergence of sequences of fuzzy numbers with respect to the Orlicz functions

The purpose of this paper is to introduce the concepts of almost ideal lacunary statistical convergence (almost ideal statistical convergence) and strongly almost ideal lacunary convergence (strongly almost ideal convergence), we give some relations betweeen these concepts. At the same time, some connections between strongly almost ideal lacunary statistical convergence and almost ideal lacunary statistical convergence of sequences of fuzzy numbers are established. It also shows that if a sequence of fuzzy numbers is strongly almost ideal lacunary statistical convergence with respect to an Orlicz function then it is almost ideal lacunary statistical convergent.