  Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely
possibility theory, and of a versatile tool for both linguistic and numerical
modeling. Numerous works now combine fuzzy concepts with other scientific
disciplines as well as modern technologies. In mathematics, fuzzy sets have
triggered new research topics in connection with category theory, topology,
algebra, analysis. In this paper, we use the triangular fuzzy numbers for
matrix domains of sequence spaces with infinite matrices. We construct the new
space with triangular fuzzy numbers and investigate to structural, topological
and algebraic properties of these spaces.
