The ideas of inventory management and fuzzy set theories have been studied and published exclusively by Elsevier throughout the years to include them in this line of inquiry. We felt a need for a systematic and complete examination of recent breakthroughs in fuzzy inventory management, so we focused on illuminating major developments and providing direction for future study in this area. We review and provide a selection of current literature highlighting this subject's importance. The methodology used to obtain sample papers is discussed, and the articles are then analyzed. Around 30 articles were discovered and categorized based on the common traits of the models. The new underexplored territory was uncovered by evaluating several model components.