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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.

Citations:

Zbl 0841.46006
Full Text: DOI