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

Savaş E.

Iranian Journal of Fuzzy Systems, vol.8, no.2, pp.91-103, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 2011
  • Journal Name: Iranian Journal of Fuzzy Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.91-103
  • Keywords: Double statistical convergence, Fuzzy number, Orlicz function
  • Uşak University Affiliated: No

Abstract

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.