The core of a sequence of fuzzy numbers

Authors:
Salih Aytar;Serpil Pehlivan;Musa A. Mammadov
Affiliations:
Department of Mathematics, Suleyman Demirel University, Isparta, Turkey;Department of Mathematics, Suleyman Demirel University, Isparta, Turkey;University of Ballarat, Ballarat, Australia
Venue:
Fuzzy Sets and Systems
Year:
2008

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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 [@n,@m] where @n and @m are extreme limit points of the sequence.