A CHARACTERIZATION THEOREM FOR LEVELWISE STATISTICAL CONVERGENCE


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Aytar S.

FILOMAT, cilt.25, ss.133-143, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25 Konu: 1
  • Basım Tarihi: 2011
  • Doi Numarası: 10.2298/fil1101133a
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.133-143

Özet

In the present paper, we prove a characterization theorem which gives a necessary and sufficient condition for a sequence of fuzzy numbers to be levelwise statistically convergent in the space of fuzzy numbers. As an application of this theorem we utilize the idea of statistical equi-continuity in order to obtain a condition which guarantees the set of levelwise statistical cluster points of a statistically bounded sequence to be nonempty and a levelwise statistically Cauchy sequence to be levelwise statistically convergent.