Uncertainty data modeling become a major problem in visualizing and describing the properties of data. Furthermore, if the data have multiple attributes of uncertainty such as the combination between imprecision and reliability of the data. Therefore, the combination of the two issues of uncertainty data can be defined as the Z-number whereas this Z-number is a dual fuzzy number known as ordered pair. This study focuses on developing a curve model by using the Z-number data after been defined. The curve model will use the B-spline function as a tool for visualizing the data. Also, the numerical example will be given and visualized in B-spline curve form of Z-number triangular fuzzy data points (ZnTrFDPs). Therefore, this finding gives the advantage of modeling data that have multiple attributes of uncertainties. [ABSTRACT FROM AUTHOR]