Original research
Multiple sequences of fuzzy numbers and their statistical convergence
1 Department of Mathematics, Haryana College of Technology & Management, 136027, India
2 School of Mathematics & Computer Applications, Thapar University, 147004, India
Mathematical Sciences 2012, 6:2 doi:10.1186/2251-7456-6-2
Published: 18 May 2012Abstract
Purpose
The purpose of this paper is to extend a generalized convergence method, namely, statistical convergence to sequences of fuzzy numbers of multiplicity greater than two.
Methods
We use analytic method to obtain our results.
Results
Certain theorems on statistical convergence of real double sequences obtained by Savaş et al. and Móricz are also extended to multiple sequences of fuzzy numbers. Finally, we define Cesàro summable and strongly p-Cesàro summable multiple sequences of fuzzy numbers and obtained their relations with statistical convergence.
Conclusions
Although, we prove our results only for triple sequences, but all these results remain true for d-multiple sequences as well.
