New type of difference sequence spaces of fuzzy real numbers. (English) Zbl 1190.46008

Summary: We introduce the natation difference operator \(\Delta_m\) (\(m\geq 0\), an integer) for studying properties of some sequence spaces. We define the sequence spaces \(\ell^F_\infty(\Delta_m)\), \(c^F(\Delta_m)\), \(c_0^F(\Delta_m)\), and investigate their properties like solidness, convergence free, symmetricity, completeness.


46A45 Sequence spaces (including Köthe sequence spaces)
40A05 Convergence and divergence of series and sequences
46S40 Fuzzy functional analysis
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