Nörlund and Riesz mean of sequences of fuzzy real numbers. (English) Zbl 1189.26056

Summary: We study some properties of the Nörlund and Riesz mean of sequences of fuzzy real numbers. We establish necessary and sufficient conditions for the Nörlund and Riesz means to transform convergent sequences of fuzzy numbers into convergent sequences of fuzzy numbers with limit preserving.


26E50 Fuzzy real analysis
26E60 Means
Full Text: DOI


[2] Pattaraintakorn, P.; Naruedomkul, K.; Palasit, K., A note on the roughness measure of fuzzy sets, Applied Mathematics Letters, 22, 8, 1170-1173 (2009) · Zbl 1173.03308
[3] Tripathy, B. C.; Baruah, A., New type of difference sequence spaces of fuzzy real numbers, Mathematical Modelling and Analysis, 14, 3, 391-397 (2009) · Zbl 1190.46008
[4] Tripathy, B. C.; Borgogain, S., The sequence space \(m(M, \phi, \Delta_m^n, p)^F\), Mathematical Modelling and Analysis, 13, 4, 577-586 (2008) · Zbl 1163.46307
[5] Tripathy, B. C.; Dutta, A. J., On fuzzy real-valued double sequence spaces \({}_2 \ell_F^p\), Mathematical and Computer Modelling, 46, 9-10, 1294-1299 (2007) · Zbl 1138.46048
[6] Tripathy, B. C.; Sarma, B., Sequence spaces of fuzzy real numbers defined by Orlicz functions, Mathematica Slovaca, 58, 5, 621-628 (2008) · Zbl 1199.46167
[7] Altin, Y.; Et, Mikail; Tripathy, B. C., The sequence space \(| \overline{N}_p |(M, r, q, s)\) on seminormed spaces, Applied Mathematics and Computation, 154, 423-430 (2004) · Zbl 1072.46006
[8] Subrahmanyam, P. V., Cesàro summability of fuzzy real numbers, Journal of Analysis, 7, 159-168 (1999) · Zbl 0947.40005
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.