The introduction of thermochromic materials in the textile industry has initiated a significant transformation, enabling the creation of dynamic textile designs. A key feature of this advancement is the ability to predict and control the color changes of these materials at specific temperatures, as well as to assess their durability when incorporated into textiles. This research aims to predict the optical responses of thermochromic dyes on woven cotton fabrics, both when applied individually and in combination, across various temperatures and concentrations. Different proportions of thermochromic dyes were printed onto the fabrics. A system was developed for precise, non-contact spectral analysis of the printed samples. Reflection measurements of the samples were conducted within the temperature range of 18–33 °C. Subsequently, colorimetric and absorption values were calculated and analyzed across various temperatures and concentrations. The ( k s ) u values exhibited a linear relationship with varying concentrations but followed a non-linear trend, specifically a third-order equation, at different temperatures. By calculating and performing regression analysis for ( k s ) u , it is possible to model and predict the spectral behavior for both individual and mixed samples to across a range of temperatures and concentrations, achieving a correlation coefficient above 0.95.