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

Authors : Ozer TALO, Erdinc DUNDAR

Pages : 183-192

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Publication Date : 2016-10-01

Article Type : Research Paper

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, 157insert ignore into journalissuearticles values(7); insert ignore into journalissuearticles values(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