STATISTICALLY CONVERGENT SEQUENCES IN INTUITIONISTIC FUZZY METRIC SPACES


Pazar Varol B.

II. International Conference on Mathematics and its Applications in Science and Engineering, Salamanca, Spain, 1 - 02 July 2021, pp.126

  • Publication Type: Conference Paper / Summary Text
  • City: Salamanca
  • Country: Spain
  • Page Numbers: pp.126

Abstract

In 2004, Park [5] defined the concept of intuitionistic fuzzy metric space with the help of continuous t-norms and continuous t-conorms as a generalization of fuzzy

metric space [4]. A lot of developments have been studied on fuzzy metric spaces and intuitionistic fuzzy metric spaces. The notions of statistical convergence was

introduced by Fast [3] and Steinhous [6] independently, and this idea draw attention both of mathematicians working on the field of pure and applied mathematics. In

2020, Changqing et. al. [2] studied on statistically convergent sequences in fuzzy metric spaces. In this paper, we introduce statistical convergence on intuitionistic

fuzzy metric spaces and analyze relations of convergence and statistical convergence on intuitionistic fuzzy metric spaces. Further, we study statistical Cauchy

sequences and statistical completeness on intuitionistic fuzzy metric spaces.