A note on double lacunary statistical σ-convergence of fuzzy numbers

Savaş E.

Soft Computing, vol.16, no.4, pp.591-595, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.1007/s00500-011-0757-5
  • Journal Name: Soft Computing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.591-595
  • Keywords: Double lacunary sequence, Fuzzy numbers, Invariant mean, P-convergent
  • Uşak University Affiliated: No

Abstract

Quite recently, Savaş (Appl Math Lett 21:134-141, 2008), defined the lacunary statistical analogue for double sequence X = {X k,l} of fuzzy numbers as follows: a double sequence X = {X k,l} is said to be lacunary P-statistically convergent to X 0 provided that for each ε > 0, In this paper we introduce and study double lacunary σ-statistical convergence for sequence of fuzzy numbers and also we get some inclusion theorems. © 2011 Springer-Verlag.