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Soft Computing

Erschienen in:

01.04.2010 | Original Paper

On some sets of difference sequences of fuzzy numbers

verfasst von: R. Çolak, Y. Altın, M. Mursaleen

Erschienen in: Soft Computing | Ausgabe 4/2010

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Abstract

In this paper we define the sequence space \({w}_{{\mathcal{F}}}\left(f,p,\Updelta\right)\) which is called the space of strongly \(\Updelta p\)-Cesàro summable sequences with modulus f. Furthermore the fuzzy Δ-statistically pre-Cauchy sequence is defined and the necessary and sufficient conditions are given for a sequence of fuzzy numbers to be fuzzy \(\Updelta\)-statistically pre-Cauchy and to be fuzzy \(\Updelta\)-statistically convergent. Also some relations between \(w_{{\mathcal{F}}}(f,p,\Updelta)\) and \({S}_{{\mathcal{F}}}(\Updelta)\) are given.

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Titel: On some sets of difference sequences of fuzzy numbers
verfasst von: R. Çolak
Y. Altın
M. Mursaleen
Publikationsdatum: 01.04.2010
Verlag: Springer-Verlag
Erschienen in: Soft Computing / Ausgabe 4/2010
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-010-0633-8

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