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

Savaş E.

Journal of Intelligent and Fuzzy Systems, vol.32, no.1, pp.1111-1117, 2017 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.3233/jifs-16292
  • Journal Name: Journal of Intelligent and Fuzzy Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1111-1117
  • Keywords: deal, filter, fuzzy numbers, I-lacunary statistical convergence of weight g, I-statistical convergence of weight g
  • Uşak University Affiliated: No

Abstract

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.