The core of a sequence of fuzzy numbers

AYTAR S., PEHLİVAN S., MƏMMƏDOV M.

Fuzzy Sets and Systems, vol.159, no.24, pp.3369-3379, 2008 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 159 Say: 24
  • Nəşr tarixi: 2008
  • Doi nömrəsi: 10.1016/j.fss.2008.03.027
  • jurnalın adı: Fuzzy Sets and Systems
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.3369-3379
  • Açar sözlər: Convergence of a sequence of fuzzy numbers, Core of a sequence, Fuzzy numbers, Limit superior and limit inferior
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

In this paper, based on level sets we define the limit inferior and limit superior of a bounded sequence of fuzzy numbers and prove some properties. We extend the concept of the core of a sequence of complex numbers, first introduced by Knopp in 1930, to a bounded sequence of fuzzy numbers and prove that the core of a sequence of fuzzy numbers is the interval [ν, μ] where ν and μ are extreme limit points of the sequence. © 2008 Elsevier B.V. All rights reserved.