Abstract and Applied Analysis
Volume 2013 (2013), Article ID 891986, 7 pages
http://dx.doi.org/10.1155/2013/891986
Research Article

On the Slowly Decreasing Sequences of Fuzzy Numbers

Özer Talo1 and Feyzi Başar2

1Department of Mathematics, Faculty of Arts and Sciences, Celal Bayar University, 45040 Manisa, Turkey
2Department of Mathematics, Faculty of Arts and Sciences, Fatih University, Büyükçekmece Campus, 34500 İstanbul, Turkey

Received 11 March 2013; Accepted 11 April 2013

Academic Editor: Ljubisa Kocinac

Copyright © 2013 Özer Talo and Feyzi Başar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We introduce the slowly decreasing condition for sequences of fuzzy numbers. We prove that this is a Tauberian condition for the statistical convergence and the Cesáro convergence of a sequence of fuzzy numbers.