λ almost difference sequences of fuzzy numbers

Abstract

In this study, we introduce several sets of sequences of fuzzy numbers using various sequencesrelations among these sets.and in the classand examine some inclusion

Keywords

• Fuzzy number, diğerence sequence, statistical convergence

References

1. Altin, Y. , Et, M. Basarir, M. On some generalized diğerence sequences of fuzzy numbers, Kuwait J. Sci. Engrg. 34 1A, 1–14 (2007).
2. Altinok, H., Çolak, R. and Et, M. Diğerence sequence spaces of fuzzy numbers, Fuzzy Sets and Systems 160(21), 3128-3139, (2009).
3. Altinok, H., Çolak, R. Almost lacunary statistical and strongly almost lacunary convergence of generalized diğerence sequences of fuzzy numbers, J. Fuzzy Math.17(4) 951–967, (2009), .
4. Altinok, H., Çolak, R. and Altin,Y. On the class of statistically convergent diğerence se- quences of fuzzy numbers, Soft Computing, 16 (6) 1029-1034, (2012).
5. Et, M.; Altin, Y., Altinok, H. On almost statistical convergence of generalized diğerence sequences of fuzzy numbers, Math. Model. Anal. 10(4) 345–352, (2005).
6. Ba¸sar, F. and Altay, B. On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Math. J. 55(1), 136–147, (2003).
7. Aytar, S. and Pehlivan, S. Statistically convergence of sequences of fuzzy numbers and se- quences of cuts, International J. General Systems 1-7, (2007).
8. Connor J.S. The statistical and strong p-Cesàro convergence of sequences, Analysis, 8, 47-63, (1988).

9. Colak, R., Altin, Y., Mursaleen M. On some sets of diğerence sequences of fuzzy numbers, Soft Computing, 15(4), 787-793, (2011). Çolak, R. On
10. Statistical Convergence, Conference on Summability and Applications, Com- merce Univ., May 12-13, 2011, Istanbul, TURKEY.
11. Çanak, ·I. Tauberian theorems for Cesàro summability of sequences of fuzzy numbers, J. Intell. Fuzzy Syst., 27 (2), 937-942, (2014).
12. Çanak, ·I. On the Riesz mean of sequences of fuzzy real numbers, J. Intell.Fuzzy Syst., 26 (6), 2688, (2014).
13. Çanak, ·I. Some conditions under which slow oscillation of a sequence of fuzzy numbers follows from Cesàro summability of its generator sequence, Iran.J. Fuzzy Syst., 11 (4) 15-22, (2014).
14. Çanak, ·I. Hölder summability method of fuzzy numbers and a Tauberian theorem, Iran. J. Fuzzy Syst., 11 (4) 87-93, (2014).
15. Das, N. R.; Choudhury, Ajanta. Boundedness of fuzzy real-valued sequences, Bull. Calcutta Math. Soc. 90 (1) 35–44, (1998).
16. Diamond, P. and Kloeden, P. Metric spaces of fuzzy sets, Fuzzy Sets and Systems 35 (2) 249, (1990).
17. Et, M. and Çolak, R. On some generalized diğerence sequence spaces, Soochow J. Math. (4), 377-386, (1995).
18. Fast H. Sur la convergence statistique, Colloq. Math., 2, 241-244, (1951).
19. Fridy J. On statistical convergence, Analysis, 5, 301-313, (1985).
20. Gökhan, A. Et, M. Mursaleen, M. Almost lacunary statistical and strongly almost lacunary convergence of sequences of fuzzy numbers, Math. Comput. Modelling, 49 (3-4), 548–555, (2009).
21. Kızmaz, H. On certain sequence spaces, Canad. Math. Bull. 24(2), 169-176, (1981).
22. Kwon, J.S. On statistical and p Cesàro convergence of fuzzy numbers, Korean J. Com- put.&Appl. Math. 7 (1), 195-203, (2000).
23. Leindler L. Über die de la Vallée-Pousinsche Summierbarkeit allgemeiner Orthogonalreihen, Acta Math. Acad. Sci. Hungar., 16, 375-387, (1965).
24. Lorentz, G. G.A contribution to the theory of divergent sequences, Acta Math. 80 167- ,(1948).
25. Maddox, I. J. Spaces of Strongly Summable Sequences, Quart. J. Math. Oxford , 18(2) 345- , (1967).
26. Matloka, M. Sequences of fuzzy numbers, BUSEFAL 28, 28-37, (1986). Mursaleen, M.
27. Nuray, F. and Sava¸s, E. Statistical convergence of sequences of fuzzy real numbers, Math. Slovaca 45 (3) 269-273, (1995).
28. Önder, Z. Sezer, S. A. Çanak, ·I. A Tauberian theorem for the weighted mean method of summability of sequences of fuzzy numbers, J. Intell. Fuzzy Syst., 28, 1403-1409, (2015).
29. Šalát T. On statistically convergent sequences of real numbers, Math. Slovaca, 30, 139-150, (1980).
30. Sava¸s E. Strong almost convergence and almost statistical convergence, Hokkaido Math. Jour., 29 (3), 531-536, (2000).
31. Sava¸s, E. On strongly –186 (2000).
32. Schoenberg I. J., The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66, 361-375, (1959).
33. Sezer, S.A. and Çanak, ·I. Power series methods of summability for series of fuzzy numbers and related Tauberian theorems, Soft Comput., DOI 10.1007/s00500- 015-1840-0
34. Steinhaus H. Sur la convergence ordinaire et la convergence asymptotique, Colloq. Math. 2, 74, (1951).
35. Subrahmanyam, P. V. Cesàro summability for fuzzy real numbers. p-adic analysis, summa- bility theory, fuzzy analysis and applications (INCOPASFA) (Chennai, 1998). J. Anal. 7, –168, (1999).
36. Tripathy, B.C. and A.J. Dutta. On fuzzy real-valued double sequence spaces2lp, Math. F Comput. Modelling 46 (9-10), 1294-1299, (2007).
37. Tripathy, B.C. and Sarma, B. Sequences spaces of fuzzy real numbers de…ned by Orlicz functions, Math. Slovaca, 58 (5), 621-628, (2008).
38. Tripathy, B.C. and Baruah, A. Nörlund and Riesz mean of sequences of fuzzy real numbers, Appl. Math. Lett. 23 (5), 651-655, (2010).
39. Tuncer, A.N.and Babaarslan, F. Statistical limit points of order of sequences of fuzzy numbers, Positivity, 19, 385-394, (2015).
40. Zadeh, L. A. Fuzzy sets, Inform and Control, 8, 338-353, (1965).
41. Current address : Department of Mathematics, Firat University, 23119, Elazı¼g-TURKEY
42. E-mail address : [e-mail]