On Some Properties of Fibonacci Almost I-Statistical Convergence of Fuzzy Variables in Credibility Space

Abstract

This paper explores several concepts of ideal and almost convergence for sequences of fuzzy variables within the context of credibility theory. Focusing on Fibonacci almost I-statistical convergence, the study examines it from various perspectives, including almost surely, credibility, mean, distribution, and uniformly almost surely. The paper also investigates the interrelationships between these convergence notions. Additionally, different types of Fibonacci almost I-statistical Cauchy sequences are analyzed in the framework of credibility theory, leading to significant findings.