- Title
- The core of a sequence of fuzzy numbers
- Creator
- Aytar, Salih; Pehlivan, Serpil; Mammadov, Musa
- Date
- 2008
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/32612
- Identifier
- vital:59
- Identifier
-
https://doi.org/10.1016/j.fss.2008.03.027
- Identifier
- ISSN:0165-0114
- Abstract
- 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.
- Publisher
- Elsevier
- Relation
- Fuzzy Sets and Systems Vol. 159, no. 24 (2008), p. 3369-3379
- Rights
- Copyright Elsevier
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Convergence of a sequence of fuzzy numbers; Core of a sequence; Fuzzy numbers; Limit superior and limit inferior
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