Print ISSN: 2155-3769/2689-5293 | E-ISSN: 2689-5307

Some New Classes of Ideal Convergent Multiple Sequence Spaces of Fuzzy Real Numbers

Munmun Nath, Santanu Roy

In this article, we introduce the class of I-convergent sequences of fuzzy real numbers of multiplicity greater than two. We explore various algebraic and topological properties of these spaces, such as solidness, symmetricity, and monotonicity. The study includes the formulation of sequence algebras and the concept of convergence-free completeness. We demonstrate that the class of I-convergent triple sequences of fuzzy real numbers forms a complete metric space and provide several inclusion results, enhancing the understanding of these complex sequence spaces in mathematical analysis.

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