University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065415420180830FURTHER RESULTS OF CONVERGENCE OF UNCERTAIN RANDOM SEQUENCES3142411310.22111/ijfs.2018.4113ENRongGaoSchool of Economics and Management, Hebei University of Technology,
Tianjin 300401, ChinaHamedAhmadzadeDepartment of Statistics, University of Sistan and Baluchestan,
Zahedan, IranJournal Article20161104Convergence is an issue being widely concerned about. Thus, in this paper, we mainly put forward two types of concepts of convergence in mean and convergence in distribution for the sequence of uncertain random variables. Then some of theorems are proved to show the relations among the three convergence concepts that are convergence in mean, convergence in measure and convergence in distribution. Furthermore, several examples are given to illustrate how we use the theorems to make sure the uncertain random sequence being convergent. Finally, several counterexamples are taken to explain the relations between these different types of convergence.http://ijfs.usb.ac.ir/article_4113_ec11c14a5f63adaa25d7b55c6fada69b.pdf