On some generalized sequence spaces of fuzzy numbers defined by a sequence of Orlicz functions

Abstract

The purpose of the paper is to introduce the concepts of almost λ -statistical convergence and strongly almost λ -convergence of sequences of fuzzy numbers. We establish some connections between these concepts. It is also shown that if a sequence of fuzzy numbers is strongly almost λ -convergent with respect to a sequence of Orlicz funtions then it is almost λ -statistical convergent.

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

“…In this paper, we study the concepts of and examine some properties of almost -statistical convergence and strongly almost -convergence of order of sequences of fuzzy numbers. The results which we obtained in this study are much more general than those obtained by Başarır et al [24].…”

Maximal ideal space of certain alpha-Lipschitz operator algebras

“…Matloka [12] introduced bounded and convergent sequences of fuzzy numbers and studied some of their properties. For more details about sequence spaces see ( [1], [2], [14], [17]) and refrences therein. The study of Orlicz sequence spaces was initiated with a certain specific purpose in Banach space theory.…”