The problems in the production systems often involve complexity and imprecision. The traditional techniques can be insufficient to handle such problems. This uncertainty and vagueness can be treated with the fuzzy sets. The fuzzy sets are frequently utilized to optimize production system problems under imprecise, complex and subjective information. It is important to gain academic knowledge on how fuzzy sets and the new developments in the fuzzy set theory are utilized in production systems. In this study, we develop a state-of-the-art literature review for the usage of fuzzy sets in production system problems. The literature review is based on 3147 publications composed of 1832 articles, 1277 conference papers and 38 book chapters indexed by Scopus. We present the tabular and graphical results of the literature review. The literature review indicates that although both production literature and fuzzy literature have an increasing attention, at some areas of production systems fuzzy sets have limited usage.