In this manuscript, we introduce the concepts of strong Nθ(p) -summability of order α and lacunary statistical convergence of order α 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 α , lacunary statistical convergence in credibility of order α , lacunary statistical convergence in mean of order α , lacunary statistical convergence in distribution of order α of fuzzy variable sequences are also investigated. We have established connections between these ideas.