A facile, rapid, low-cost, and sensitive gold nanoparticle (AuNP)-based colorimetric method was introduced to analyze sofosbuvir (SOF) and ledipasvir (LED) simultaneously in laboratory binary mixtures and pharmaceutical formulation samples using fuzzy inference system (FIS). The synthesized AuNPs before and after adding the drug were characterized using Fourier-transform infrared spectroscopy (FTIR), transmission electron microscopy (TEM), and dynamic light scattering (DLS). After adding the drug to AuNPs solution, the color change from wine red (520 nm) to grey (660 nm) occurred due to the aggregation of AuNPs and the surface plasmon resonance (SPR) in the visible region. A linear calibration curve was in the range from 10 to 100 and 20–100 mg/L with a limit of detection and limit of quantification of 9.57, 29.07 μg/L and 8.58, 26.15 μg/L for SOF and LED, respectively. FIS along with principal component analysis (PCA) was used for the simultaneous determination of SOF and LED. The mean recovery values were found to be 101.07 % and 99.58 %, and the root mean square error (RMSE) was 1.1455 and 1.2138 for SOF and LED, respectively. The results obtained from the analysis of real sample by FIS-PCA and HPLC were compared via an ANOVA test and no significant difference was observed. The results indicated that the developed optical method has high precision, accuracy, and sensitivity for the analysis of pharmaceutical components in binary mixtures, which can be faster and less expensive than chromatography methods.
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