The core of a double sequence of fuzzy numbers

Talo Ö.

Fuzzy Sets and Systems, vol.424, pp.132-154, 2021 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 424
  • Publication Date: 2021
  • Doi Number: 10.1016/j.fss.2021.02.007
  • Journal Name: Fuzzy Sets and Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, zbMATH
  • Page Numbers: pp.132-154
  • Keywords: Core, Double sequence, Fuzzy number, Limit inferior, Limit superior, Γ-convergence
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

We present the concepts of the limit superior and the limit inferior of a double sequence of fuzzy numbers and obtain several properties of these concepts. By using these concepts we also characterize the core of a double sequence of fuzzy numbers as a closed interval. Furthermore, we define Γ-convergence and the endograph metric convergence for a double sequence of fuzzy numbers, which are new types of convergence and investigate the relations between these types of convergence and the core of the sequence.