This paper presents a literature review and analysis of fuzzy linear programming models and methods. The selected bibliography is related to the original linear programming with fuzzy linear constraints models proposed by Hans Jürgen Zimmermann during 1974–76 since they have become a reference for scholars and practitioners due to its ease to implement and understand. To do so, we analyze the timeline of publication of the most important works in the field, evaluate the influence of relevant papers using a time–weighted index based on the amount of citations to provide a perspective about the future directions in fuzzy linear programming and recommend selected books, journals and some recent contributions to readers.