On regular variations of fuzzy sequences via deferred statistical convergence

Abstract

This paper introduces the idea of deferred statistical convergence of order β via the concept of regular variations of sequences of fuzzy numbers. The convergence of sequences of fuzzy numbers using ideas of variations such as regular, O−regular, translational regular and rapid, etc, are discussed in the context of deferred statistical of order β. Results on generating relations among these different fuzzy deferred statistical variations are established.