On some AI-convergent difference sequence spaces of fuzzy numbers defined by the sequence of Orlicz functions

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Savas E.

Journal of Inequalities and Applications, vol.2012, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2012
  • Publication Date: 2012
  • Doi Number: 10.1186/1029-242x-2012-261
  • Journal Name: Journal of Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: difference space, fuzzy number, I-convergent, ideal, infinite matrix, Orlicz function
  • Uşak University Affiliated: No

Abstract

In this paper, using the difference operator of order m, the sequences of Orlicz functions, and an infinite matrix, we introduce and examine some classes of sequences of fuzzy numbers defined by I-convergence. We study some basic topological and algebraic properties of these spaces. In addition, we shall establish inclusion theorems between these sequence spaces. MSC: 40A05, 40G15, 46A45. © 2012 Savas; licensee Springer.