A solar cooker is essential for cooking nutrient-dense food as opposed to LPG, which is avoidable. In the current situation, the solar cooker's incorporation of a nanoparticle covering resulted in improved thermal performance and shorter cooking times. It has been attempted to forecast thermal performance using the Fourier series and to validate the study of cooking liquid temperatures using the Fourier series. Additionally, the logical modeling of the complete cooking process with the climatic conditions has been fuzzified in order to create fuzzy rules. Also, a thermal measurement of the cooking process was conducted during the experiment to support the fuzzy inference. From the study, it can be inferred that fuzzy logic modeling and Fourier series analysis can both be used to simulate the proposed system under various climatic settings that are comparable to the local climatic conditions in Chennai. In comparison to Pt values that have a larger dependence, a solar box cooker study of the environment and economy is applied to determine total carbon dioxide emissions (%) that reduce a period when this design was used. There is a clear correlation between minimization of CO2 emission and Pt values. The overall efficiency was determined to be 52.6% when boiling water and 38.99% when the oil was at its steady-state temperature.