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http://dx.doi.org/10.5666/KMJ.2014.54.3.413

Statistically Convergent Fuzzy Sequence Spaces by Fuzzy Metric  

Das, Paritosh Chandra (Department of Mathematics, Rangia College)
Publication Information
Kyungpook Mathematical Journal / v.54, no.3, 2014 , pp. 413-423 More about this Journal
Abstract
In this article we study different properties of the statistically convergent and statistically null sequence classes of fuzzy real numbers with fuzzy metric, like completeness, solidness, sequence algebra, symmetricity and convergence free.
Keywords
Fuzzy real number; statistical convergence; solid space; symmetric space; sequence algebra; convergence free;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 H. Fast, Sur la convergence statistique, Colloq. Math., 2(1951), 241-244.   DOI
2 J. A. Fridy, On statistical convergence, Analysis, 5(1985), 301-313.
3 O. Kelava and S. Seikkala, On fuzzy metric spaces, Fuzzy Sets and Systems, 12(1984), 215-229.   DOI   ScienceOn
4 E. Savas, A note on sequence of fuzzy numbers, Information Sciences, 124(2000), 297-300.   DOI   ScienceOn
5 S. Nanda, On sequences of fuzzy numbers, Fuzzy Sets and Systems, 33(1989), 123-126.   DOI   ScienceOn
6 F. Nuray and E. Savas, Statistical convergence of sequences of fuzzy real numbers, Math. Slovaca, 45(3)(1995), 269-273.
7 T. Salat, On Statistically convergent sequences of real numbers, Math. Slovaca, 30(2)(1980), 139-150.
8 I. J. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66(1959), 361-375.   DOI   ScienceOn
9 R. Syau Yu, Sequences in fuzzy metric space, Comput Math. Appl., 33(6)(1997), 73-76.
10 B. C. Tripathy, On generalized difference paranormed statistically convergent sequences, Indian J. Pure Appl. Math., 35(5)(2004), 655-663.
11 B. C. Tripathy and A. Baruah, Lacunary statistically convergent and lacunary strongly convergent generalized difference sequences of fuzzy real numbers, Kyungpook Math. J., 50(2010), 565-574.   DOI
12 B. C. Tripathy and A. J. Dutta, Bounded variation double sequence space of fuzzy real numbers, Comput and Math. with Appl., 59(2)(2010), 1031-1037.   DOI   ScienceOn
13 B. C. Tripathy and B. Sarma, Sequence spaces of fuzzy real numbers defined by Orlicz functions, Math. Slovaca, 58(5)(2008), 621-628.
14 B. C. Tripathy and B. Sarma, Double sequence spaces of fuzzy numbers defined by Orlicz function, Acta Math. Scien., 31B(1)(2011), 134-140.
15 B. C. Tripathy and M. Sen, On generalized statistically convergent sequences, Indian J. Pure Appl. Math., 32(11)(2001), 1689-1694.