Some results on lacunary statistical convergence of order α in credibility space

Abstract

In this manuscript, we introduce the concepts of strong N-theta(p)-summability of order alpha and lacunary statistical convergence of order alpha for fuzzy variables in credibility space. We examine important connections between these ideas. The circumstances of lacunary statistical convergence almost surely (a.s.) of order alpha, lacunary statistical convergence in credibility of order alpha, lacunary statistical convergence in mean of order alpha, lacunary statistical convergence in distribution of order alpha of fuzzy variable sequences are also investigated. We have established connections between these ideas.