Title of article :
Multiple sequences of fuzzy numbers and their statistical convergence
Author/Authors :
Kumar, Pankaj Haryana College of Technology Management - Department of Mathematics, India , Kumar, Vijay Haryana College of Technology Management - Department of Mathematics, India , Bhatia, S S Thapar University - School of Mathematics Computer Applications, India
From page :
1
To page :
7
Abstract :
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.
Keywords :
Statistical convergence , Statistical Cauchy sequences , Fuzzy number sequences , Multiple sequences
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
Record number :
2568997
Link To Document :
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