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Abstrakty
In this article we introduce the notion of statistical convergence difference sequences of fuzzy real numbers, cF(A). We study some properties of the statistically convergent and statistically null difference sequence spaces of fuzzy real numbers, like completeness, solidness, sequence algebra, symmetricity, convergence free, nowhere denseness and some inclusion results.
Czasopismo
Rocznik
Tom
Strony
97--112
Opis fizyczny
Bibliogr. 15 poz.
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autor
autor
- Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Garchuk, GUWAHATI-781035, Assam, India, tripathybc@yahoo.com
Bibliografia
- [1]DAS N.R., DAS P., CHOUDHURY Α., Absolute value like fuzzy real number and fuzzy real-valued sequence spaces, Jour. Fuzzy Math., 4(2)(1996), 421-433.
- [2]FAST H., Sur la convergence statistique, Colloq. Math., 2(1951), 241-244.
- [3]FRIDY J.A., On statistical convergence, Analysis, 5(1985), 301-303.
- [4]KELAVA O., SEIKKALA S., On fuzzy metric spaces, Fuzzy Sets and Systems,12(1984), 215-229.
- [5]KIZMAZ H., On certain sequence spaces, Canad. Math. Bull., 24(2)(1981), 168-176.
- [6]NANDA S., On sequences of fuzzy numbers, Fuzzy Sets and Systems, 33(1989), 123-126.
- [7]NURAY F., SAVAS E., Statistical convergence of sequences of fuzzy real numbers, Math. Slovaca, 45(3)(1995), 269-273.
- [8]RATH D., TRIPATHY B.C., Matrix maps on sequence spaces associated with sets of intigers, Indian J. Pure Appl. Math., 27(2)(1996), 197-206.
- [9]ŠALÁT T., On Statistically convergent sequences of real numbers, Math. Slovaca,30(2)(1980), 139-150.
- [10]SAVAS E., A note on sequence of fuzzy numbers, Information Sciences,124(2000), 297-300.
- [11]SCHOENBERG I.J., The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66(1959), 361-375.
- [12]TRIPATHY B.CH., Matrix transformations between some classes of sequences, J. Math. Anal Appl, 206(2)(1997), 448-450.
- [13]TRIPATHY B.CH., On statistical convergence, Proc. Estonian Acad. Sci. Phy.Math., 47(4)(1998), 299-303.
- [14]TRIPATHY B.K., NANDA S., Absolute value of fuzzy real numbers and fuzzy sequence spaces, Jour. Fuzzy Math., 8(4) (2000), 883-892.
- [15]ZYGMUND Α . , Trigonometric Series, Cambridge University Press, vol. II, 1993.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0086-0013