On I-lacunary statistical convergence of weight g of fuzzy numbers

Savaş E.

Journal of Intelligent and Fuzzy Systems, cilt.32, sa.1, ss.1111-1117, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3233/jifs-16292
  • Dergi Adı: Journal of Intelligent and Fuzzy Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1111-1117
  • Anahtar Kelimeler: deal, filter, fuzzy numbers, I-lacunary statistical convergence of weight g, I-statistical convergence of weight g
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, following a very recent and new approach of [1], we discuss a relation between two kinds of I- convergence of sequences, namely, I-statistical convergence of weight g and I-lacunary statistical convergence of weight g, where g: naturals → [ 0, ∞) is a function satisfying lim n → ∞ g (n) = ∞ and n g (n) Rightwards arrow with stroke sign 0 as n→ ∞ for fuzzy numbers. These methods are based on the methods of statistical convergence and lacunary statistical summability for sequences. Analogs of inclusion and consistency theorems for the sequential methods are established.