—In recent years the concept of statistical
convergence of fuzzy numbers have been studied by many
mathematicians. The main work consists Lambda-statistically
convergence, which is a kind of convergence between ordinary
convergence and statistical convergence. F. B. Benli has been
studied lambda-statistical limit inferior and limit superior for
lambda-statistically bounded sequences of fuzzy numbers. This
work has been extended in this paper, where some relations
have been considered such that when lambda-statistical limit
inferior and lambda-statistical limit superior for
lambda-statistically convergent sequences of fuzzy numbers are
equal. Furthermore, lambda-statistical boundedness condition
for different sequences of fuzzy numbers has been studied.
—Fuzzy number, λ − statistical limit inferior,
λ − statistical limit superior.
F. Berna BENLİ is with the Erciyes University in Kayseri, Turkey (e-mail:
Cite: F. Berna Benli, "Relations between Lambda-Statistical Limit İnferior and
Limit Superior for Sequences of Fuzzy Numbers," International Journal of Modeling and Optimization vol. 4, no. 4, pp. 321-325, 2014.