A review on history, trends and perspectives of fuzzy linear programming. (2022)

• Record Type: Journal Article
• Authors: Figueroa–García, Juan Carlos; Hernández, Germán; Franco, Carlos
• Is Part Of: Operations research perspectives. Volume 9(2022)
• Publication Date: 2022
• Subjects: Fuzzy linear programming -- Fuzzy constraints -- Fuzzy optimization -- Uncertain optimization; Operations research -- Periodicals; Management science -- Periodicals; 658.403405
• DOI: 10.1016/j.orp.2022.100247
• Languages: English
• ISSNs: 2214-7160

Abstract

Abstract: This paper presents a literature review and analysis of fuzzy linear programming models and methods. This review traces back to the linear programming with fuzzy linear constraints models proposed by Hans Jürgen Zimmermann during 1974–76 which have become the seminal works for scholars and practitioners in this field 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 in order to provide a perspective about the future directions in fuzzy linear programming and to recommend selected books, journals and some recent contributions to readers. Highlights: Timeline of FLP papers shows a focus on solving defuzzified (deterministic) instances There is a need to define unified criteria for modeling/solving FLPs The most influential papers preserve its time-weighted influence over the years Self-citations tend to decrease over time The most relevant trend in FLP is to explore new fuzzy/uncertainty representations