Graphene oxide (GO)-doped CFRP composites possess excellent mechanical properties for high-performance products of aircraft, defense, biomedical and chemical trades. This paper highlights a novel hybridization of the combined compromise solution-principal component analysis (CoCoSo-PCA) method to optimize multiple correlated responses during CNC milling of GO-doped epoxy/CFRP. The influence of process constraints like drill speed ([Formula: see text]), feed rate ([Formula: see text]), Depth of cut ([Formula: see text]) and GO wt.% (GO) on machining performances like MRR, cutting force ([Formula: see text]) and Surface roughness ([Formula: see text]) has investigated. Taguchi [Formula: see text] orthogonal array considered for machining (milling) of composite by using Titanium aluminium nitride (TiAlN) milling cutter ([Formula: see text][Formula: see text]mm). A multivariate hybrid approach based on combined multiplication rule was utilized to evaluate the ranking of the alternatives decision process and optimize responses. ANOVA reveals that spindle speed (82.24%) is the most influential factor trailed by feed rate (5.02%), depth of cut (0.55%) and GO wt.% (2.17%). This module has fruitfully tackled critical issues such as response priority weight assignment and response correlation. Finally, CoCoSo-PCA shows the higher predicted value of 9.06 and confirmatory test performed on optimum settings as [Formula: see text] RPM, [Formula: see text]-160[Formula: see text]mm/rev [Formula: see text][Formula: see text]mm and GO-1%, which show a satisfactory agreement with actual ones for favorable machining environment.