ON ASYMPTOTICALLY LACUNARY σ-STATISTICAL EQUIVALENT SEQUENCES OF FUZZY NUMBERS

Ekrem Savaş ()
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Ekrem Savaş: Istanbul Commerce University, Department of Mathematics, Üsküdar-Istanbul/Turkey, Turkey

New Mathematics and Natural Computation (NMNC), 2009, vol. 05, issue 03, 589-598

Abstract: This paper presents the asymptotically lacunary σ-statistical equivalent which is a natural combination of the definition for asymptotically equivalent, invariant mean and lacunary statistical convergence of fuzzy numbers. In addition, we shall also present asymptotically lacunary σ-statistical equivalent analogs of Savas and Nuray's theorems in Ref. 8.

Keywords: Fuzzy numbers; asymptotically equivalent; asymptotically lacunary statistical equivalent; invariant mean; 40C05 (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:05:y:2009:i:03:n:s1793005709001507

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DOI: 10.1142/S1793005709001507

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