TAUBERIAN THEOREMS FOR THE EULER-NORLUND MEAN-CONVERGENT SEQUENCES OF FUZZY NUMBERS

Document Type: Research Paper

Authors

1 Department of Mathematics and Computer Sciences, University of Prishtina, Avenue Mother Teresa, No-4, Prishtine, 10000, Kosova

2 Department of Mathematics, Frat University, Elazig, 23119, Turkey

Abstract

Fuzzy set theory has entered into a large variety of disciplines of sciences,
technology and humanities having established itself as an extremely versatile
interdisciplinary research area. Accordingly different notions of fuzzy
structure have been developed such as fuzzy normed linear space, fuzzy
topological vector space, fuzzy sequence space etc. While reviewing the
literature in fuzzy sequence space, we have seen that the notion of Tauberian
theorems for the Euler-N\"{o}rlund mean-convergent sequences of fuzzy numbers
has not been developed. In the present paper, we introduce some new concepts
about statistical convergence of sequences of fuzzy numbers. The main purpose
of this paper is to study Tauberian theorems for the Euler-N\"{o}rlund
mean-convergent sequences of fuzzy numbers and investigate some other kind of
convergences named Euler-N\"{o}rlund mean-level convergence so as to fill up
the existing gaps in the literature. The results which we obtained in this
study are much more general than those obtained by others.

Keywords


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