(A)Δ - double sequence spaces of Fuzzy numbers via orlicz function

Savaş E.

Iranian Journal of Fuzzy Systems, cilt.8, sa.2, ss.91-103, 2011 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2011
  • Dergi Adı: Iranian Journal of Fuzzy Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.91-103
  • Anahtar Kelimeler: Double statistical convergence, Fuzzy number, Orlicz function
  • Uşak Üniversitesi Adresli: Hayır

Özet

The aim of this paper is to introduce and study a new concept of strong double (A)Δ-convergent sequence of fuzzy numbers with respect to an Orlicz function and also some properties of the resulting sequence spaces of fuzzy numbers are examined. In addition, we define the double (A, Δ)-statistical convergence of fuzzy numbers and establish some connections between the spaces of strong double (A)Δ-convergent sequence and double (A, Δ)-statistical convergent sequence.