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, cilt.2012, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2012
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1186/1029-242x-2012-261
  • Dergi Adı: Journal of Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: difference space, fuzzy number, I-convergent, ideal, infinite matrix, Orlicz function
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.