The nontraditional hole-making process Friction Drilling (FD) receives major attention nowadays because of its operational efficiency in terms of unpolluted, chipless hole making and in fact, the holes are drilled in single step. It is a cumbersome and challenging task to predict surface finish of the work material in the final stages of operation. This difficulty arises because of nonlinear interactions between the process parameters and nonuniform nature of the heat caused by friction which occurred between the conical drill bit rotating at high speed and the workpiece. Since this process is having ambiguities and uncertainties, a model based on fuzzy logic has been developed for the prediction of surface roughness of drilled holes in the FD process. Operating parameters such as rotational speed of the spindle, feed rate, and workpiece temperature are the three membership functions chosen to propose this fuzzy model. These functions are assigned for each input of the model. This fuzzy logic model is verified by two firsthand set of parameter values. The results opine that the established fuzzy model is well in agreement with the investigational data with the maximum deviation of 3.81%. Furthermore, three-dimensional surface plots are developed using this fuzzy model to reveal the influence of individual process parameters on the surface ambiguities. The outcomes of the study attest that the three-dimensional surface plots are much useful for selecting input parameter combinations to achieve the required surface roughness.