On almost ℐ2-convergence of fuzzy variables in credibility space

Abstract

Within the framework of credibility theory, this paper delves into various notions of ideal convergence and almost convergence pertaining to sequences of fuzzy variables. Through the utilization of fuzzy variables, the investigation encompasses & Iscr;(2)-almost convergence in terms of almost surely, credibility, mean, distribution, and uniformly almost surely. Relationships between these notions are thoroughly examined. Furthermore, we explore different types of & Iscr;(2)-almost Cauchy sequences within the realm of credibility theory, yielding noteworthy results in the process.