Generalized statistical convergence of rough variable

Fuzzy set theory provides us with consistent and meaningful tools to analyze real-life data. In this way, we can express the uncertainties in daily life mathematically. Although fuzzy set theory introduced by Zadeh (1965) through membership function has been studied and developed by many mathematicians, it does not contain self-duality property. So, Liu (2004) defined the credibility theory as a result of the necessity of self-duality in theory and practice. Credibility Theory is a field that studies the behavior of fuzzy variables. In this thesis, credibility measure, trust measure, credibility distribution, density function, expected value, variance, distance, inequalities and convergence concepts are examined.