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Article . 2012
License: CC BY
Data sources: Datacite
British Journal of Mathematics & Computer Science
Article . 2012 . Peer-reviewed
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On Almost Asymptotically Statistical Equivalent Sequences of Fuzzy Numbers

Authors: ESI Ayhan ; ÖZDEMIR M. Kemal ;

On Almost Asymptotically Statistical Equivalent Sequences of Fuzzy Numbers

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 = be a lacunary sequence. The two sequences and of fuzzy numbers are said to bebr /> asymptotically theta;br /> nbsp;nbsp; nbsp;br /> minus;statistical equivalent of multiple provided that for every epsilon; gt; 0br /> limbr /> br /> br /> isin; : br /> br /> br /> ! , # ge; epsilon;% = 0, uniformly in amp;br /> (denoted by ~br /> (theta;br /> )*br /> ) and simply almost asymptoticallyminus;statistical equivalent if = 1. Also, webr /> prove that some inclusion relations./p>

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Keywords

almost convergence., asymptotically equivalent, Fuzzy numbers

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