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In this work, it is demonstrated that consumer acceptance analysis can be evaluated by simultaneously considering several attributes using a three‐way internal preference map obtained by parallel factor analysis (PARAFAC). Considerations regarding the building of this three‐way map by PARAFAC are reported. Pilot case studies with real data sets from herb cakes and beef burgers are also carried out, and comparisons with results from regular internal preference maps are obtained by principal component analysis. Three‐way internal preference maps enable the simultaneous analysis of interactions among consumer preferences, products and different evaluated attributes, which facilitate the selection of favorite samples. This method highlights the efficiency of the three‐way analysis of consumer acceptance data with different sources of data variability, allowing the extraction of relevant information …