In this research, we investigate multiple conceptions of convergence and deferred statistical convergence of order β,0<β≤1 for fuzzy variable sequences within framework credibility theory. The idea of deferred statistical convergence of order β for fuzzy variable sequences such as the notions of convergence in credibility, convergence in mean, convergence in distribution, and convergence uniformly practically surely via deferred Cesàro mean. We look at the relationships between these ideas. For fuzzy variable sequences, some results on deferred statistical convergence order β,0<β≤1 are developed.