On a class of fuzzy sets defined by Orlicz functions. (English) Zbl 1340.46006
Summary: The idea of difference sequences of real (or complex) numbers was generalized by M. Et and R. Çolak [Soochow J. Math. 21, No. 4, 377–386 (1995; Zbl 0841.46006)]. In this paper, using the difference operator \(\Delta^m\) and an Orlicz function, we introduce and examine a class of sequences of fuzzy numbers. We study some of their properties like completeness, solidity, symmetricity, etc. We also give some inclusion relations related to this class.
MSC:
46A45 | Sequence spaces (including Köthe sequence spaces) |
40A05 | Convergence and divergence of series and sequences |
40C05 | Matrix methods for summability |
03E72 | Theory of fuzzy sets, etc. |