A GENERALIZED STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES

Savaş E.

Applied and Computational Mathematics, vol.16, no.1, pp.31-38, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2017
  • Journal Name: Applied and Computational Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.31-38
  • Keywords: Filter, I-Statistical Convergence of Function, Iλ-Statistical Convergence of Functions, Ideal, Intuitionistic Fuzzy, [V λ] (I)-Summability
  • Uşak University Affiliated: No

Abstract

In the present paper, we introduce the notion of [V, λ] (I)-summability and Iλ-statistical convergence of a nonnegative real-valued Lebesque measurable function in the interval (1, ∞) with respect to the intuitionistic fuzzy norm (µ, v), investigate their relationship, and make some observations about these classes. We mainly examine the relation between these two new methods and also the relation between Iλ-statistical convergence and I-statistical convergence in intuitionistic fuzzy normed space (µ, v).