Approaches of linear operators in the intuitionistic fuzzy 2-Banach spaces

KARAKAYA V., Erturk M.

LOGIC JOURNAL OF THE IGPL, vol.26, no.5, pp.453-463, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 5
  • Publication Date: 2018
  • Doi Number: 10.1093/jigpal/jzy009
  • Journal Name: LOGIC JOURNAL OF THE IGPL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.453-463
  • Yıldız Technical University Affiliated: Yes

Abstract

The focus of this paper is to present some concepts of intuitionistic fuzzy T-convergence in intuitionistic fuzzy 2-Banach spaces. We will modify and correct the definition of regularity of 2-norms on 2-Banach spaces, which was given by Gurdal et al. in (2009, Nonlinear Analysis: Theory, Methods & Applications, 71, 1654-1661) to guarantee uniqueness of T-limit of T-convergence. Furthermore, we will introduce the concepts of intuitionistic fuzzy regularity and investigate consistency of intuitionistic fuzzy 2-norms on domain and range of the operator T-n. We will give some illustrative examples supporting our theoretical results.