Journal of Advances in Mathematics and Computer Science

On Almost Asymptotically Statistical Equivalent Sequences of Fuzzy Numbers

Ayhan ESI *

Adiyaman University, Science Faculty, Department of Mathematics, Adiyaman, Turkey.

M. Kemal ÖZDEMIR

Inonu University, Science Faculty, Department of Mathematics, Malatya, Turkey.

*Author to whom correspondence should be addressed.

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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 =(K_r) 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.                            

Keywords: Fuzzy numbers, asymptotically equivalent, almost convergence.

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