$\mathcal{I}$-LIMIT SUPERIOR AND $\mathcal{I}$-LIMIT INFERIOR FOR SEQUENCES OF FUZZY NUMBERS

Year 2016, Volume: 4 Issue: 2, 183 - 192, 01.10.2016

Ozer Talo Erdinc Dundar

Abstract

The statistical limit inferior and limit superior for sequences of fuzzy numbers have been introduced by Aytar, Pehlivan and Mammadov [Statistical limit inferior and limit superior for sequences of fuzzy numbers, Fuzzy Sets and Systems, 157(7) (2006) 976--985]. In this paper, we extend concepts of statistical limit superior and inferior to $\mathcal{I}$-limit superior and $\mathcal{I}$-inferior for a sequence of fuzzy numbers. Also, we prove some basic properties.

Keywords

Fuzzy numbers, sequences of fuzzy numbers, Ideal convergence, Ideal limit superior and inferior

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