The core of a double sequence of fuzzy numbers

Talo Ö.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 424
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.fss.2021.02.007
  • Dergi Adı: Fuzzy Sets and Systems
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.132-154
  • Anahtar Kelimeler: Core, Double sequence, Fuzzy number, Limit inferior, Limit superior, Γ-convergence
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.