Some double lacunary I-convergent sequence spaces of fuzzy numbers defined by Orlicz function

Savas E.

Journal of Intelligent and Fuzzy Systems, vol.23, no.5, pp.249-257, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 5
  • Publication Date: 2012
  • Doi Number: 10.3233/ifs-2012-0516
  • Journal Name: Journal of Intelligent and Fuzzy Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.249-257
  • Keywords: double fuzzy real number, double lacunary sequence, I-convergent, Ideal, Orlicz function
  • Uşak University Affiliated: No

Abstract

In this paper, using the difference operator of order m, the sequences of Orlicz functions and double lacunary sequence we introduce and study some classes of sequences of fuzzy numbers defined by I-convergence. We study some basic topological and algebraic properties of these spaces. Also we investigate the relations related to these spaces. © 2012-IOS Press and the authors. All rights reserved.