On the class of $m(\phi)$ bounded variation sequences of fuzzy real numbers

S. J. Boruah^a, A. J. Dutta<sup>b

a</sup> Department of Mathematics, Gauhati University, Jalukbari, Guwahati-14, India
^b Pragjyotish College, Department of Mathematics, Guwahati-09, India

Аннотация: 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.

Ключевые слова: Orlicz function, bounded variation, fuzzy real number, solid, monotonicity, convergence-free.

УДК: 517.521

MSC: 40G15, 40A05, 40D20, 40A35

Поступила в редакцию: 13.07.2024
Исправленный вариант: 17.10.2024
Принята в печать: 13.09.2024

Язык публикации: английский

DOI: 10.15393/j3.art.2025.16690