RUS  ENG
Full version
JOURNALS // Problemy Analiza — Issues of Analysis // Archive

Probl. Anal. Issues Anal., 2025 Volume 14, Issue 1, Pages 61–76 (Mi pa415)

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

S. J. Boruaha, A. J. Duttab

a Department of Mathematics, Gauhati University, Jalukbari, Guwahati-14, India
b Pragjyotish College, Department of Mathematics, Guwahati-09, India

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.

UDC: 517.521

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

Received: 13.07.2024
Revised: 17.10.2024
Accepted: 13.09.2024

Language: English

DOI: 10.15393/j3.art.2025.16690



© Steklov Math. Inst. of RAS, 2025