Affiliations: [a] Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
| [b] Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, India
Correspondence:
[*]
Corresponding author. S.A. Mohiuddine, Operator Theory and Applications Research Group, Department of
Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia. Tel.:
+966 595116518; E-mail: mohiuddine@gmail.com.
Abstract: We define the notions of pointwise and uniform statistical convergence of double sequences of fuzzy valued functions and obtain relationships between these two kinds of convergence. We further introduce the notion of equi-statistical convergence of double sequences of fuzzy valued functions and show that uniformly statistically convergent double sequence is equi-statistically convergent while the converse is not true in general. We present several interesting results related to these kinds of convergence and their representations of sequences of α-level cuts. We provide some interesting illustrative examples in support of our results.
