Some new generalized classes of dierence sequences of fuzzy numbers dened by a sequence of Orlicz functions

In the present paper we introduce some new generalized classes of di erence sequence spaces of fuzzy numbers de ned by a sequence of Orlicz functions. We also make an e ort to study some topological properties and prove some inclusion relations between these spaces.

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1. R. Çolak, Y. Altn and M. Mursaleen, On some sets of difference sequences of fuzzy numbers, Soft Computing, 15 (2011), 787-793.
2. P. Diamond and P. Kloeden, Metric spaces of fuzzy sets, Fuzzy Sets Systems, 35 (1990), 241-249.
3. A. Esi, On some new paranormed sequence spaces of fuzzy numbers defined by Orlicz function and statistical convergence, Math. Model. Anal., 11 (2006), 379-388.
4. M. Et and R. Çolak, On some generalized difference sequence spaces and related matrix transformations, Hokkaido Math. J., 26 (1997), 483-492.
5. H. Kzmaz, On certain sequence spaces, Can. Math. Bull., 24 (1981), 169-176.
6. J. Lindenstrauss and L. Tzafriri, On Orlicz sequence spaces, Israel J. Math., 10 (1971), 345-355.
7. M. Matloka, Sequences of fuzzy numbers, BUSEFAL, 28 (1986), 28-37.
8. M. Mursaleen and M. Basarr, On some new sequence spaces of fuzzy numbers, Indian J. Pure Appl. Math., 34 (2003), 1351-1357.
9. S. Nanda, On sequences of fuzzy numbers, Fuzzy Sets and Systems, 33 (1989), 123-126.
10. F. Nuray and E. Savas, Statistical convergence of sequences of fuzzy numbers, Math. Slovaca, 45(3) (1995), 269-273.
11. L. A. Zadeh, Fuzzy sets, Information and control, 8 (1965), 338-353.