• 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