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Research Article Open access CC BY 3.0

On Almost Asymptotically Statistical Equivalent Sequences of Fuzzy Numbers

Ayhan ESI, M. Kemal ÖZDEMIR

Journal of Advances in Mathematics and Computer Science · pp. 44–51 · Published 3 Mar 2012

10.9734/BJMCS/2012/1053

Abstract

This paper presents the following definition which is a natural combination of the definitions for almost asymptotically equivalence and almost statistical convergence of fuzzy numbers. Let θ =(Kr) be a lacunary sequence. The two sequences  and  of fuzzy numbers are said to be asymptotically   statistical equivalent of multiple  provided that for every                                               and simply almost asymptotically-statistical equivalent if L= 1 . Also, we prove that some inclusion relations.                            

Fuzzy numbers asymptotically equivalent almost convergence.

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