Geodesic
On the class of $m(\phi)$ bounded variation sequences of fuzzy real numbers
Problemy analiza, Tome 14 (2025) no. 1, pp. 61-76

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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. 
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     title = {On the class of $m(\phi)$ bounded variation sequences of fuzzy real numbers},
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S. J. Boruah; A. J. Dutta. On the class of $m(\phi)$ bounded variation sequences of fuzzy real numbers. Problemy analiza, Tome 14 (2025) no. 1, pp. 61-76. http://geodesic.mathdoc.fr/item/PA_2025_14_1_a3/