Statistical convergence of double sequences on intuitionistic fuzzy normed spaces

Karakus S., Demirci K.

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, cilt.10, sa.3, ss.377-389, 2008 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 3
  • Basım Tarihi: 2008
  • Dergi Adı: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.377-389
  • Anahtar Kelimeler: natural double density, statistical convergence, continuous t-norm, continuous t-conorm, intuitionistic fuzzy normed space, METRIC-SPACES, SETS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

The concept of statistical convergence was presented by Steinhaus (1951), This concept was extended to the double sequences by Mursaleen and Edely (2003). In this paper, we define and study statistical analogue of convergence and Cauchy for double sequences on intuitionistic fuzzy normed spaces. Then we give a useful characterization for statistically convergent double sequences. Furthermore, we display an example such that our method of convergence is stronger than the usual convergence for double sequences on intuitionistic fuzzy normed spaces.