New Results on ℐ2-Statistically Limit Points and ℐ2-Statistically Cluster Points of Sequences of Fuzzy Numbers

Kişi Ö., HUBAN M. B., GÜRDAL M.

Journal of Function Spaces, vol.2021, 2021 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 2021
  • Publication Date: 2021
  • Doi Number: 10.1155/2021/4602823
  • Journal Name: Journal of Function Spaces
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Isparta University of Applied Sciences Affiliated: Yes

Abstract

In this paper, some existing theories on convergence of fuzzy number sequences are extended to ℐ2-statistical convergence of fuzzy number sequence. Also, we broaden the notions of ℐ2-statistical limit points and I-statistical cluster points of a sequence of fuzzy numbers to ℐ2-statistical limit points and ℐ2-statistical cluster points of a double sequence of fuzzy numbers. Also, the researchers focus on important fundamental features of the set of all ℐ2-statistical cluster points and the set of all ℐ2-statistical limit points of a double sequence of fuzzy numbers and examine the relationship between them.