Abstract:
In this article, we introduce the sequence space $bv(\phi, M, p)$, for $1\leq p<\infty$ of fuzzy real numbers. We verify and establish some algebraic and topological properties like solidness, monotonicity, convergence-free etc. and prove some inclusion relations of this class of sequences.
Keywords:Orlicz function, bounded variation, fuzzy real number, solid, monotonicity, convergence-free.