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Fuzzy linear programming problems: models and solutions

Ghanbari, R ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1007/s00500-019-04519-w
  3. Publisher: Springer , 2020
  4. Abstract:
  5. We investigate various types of fuzzy linear programming problems based on models and solution methods. First, we review fuzzy linear programming problems with fuzzy decision variables and fuzzy linear programming problems with fuzzy parameters (fuzzy numbers in the definition of the objective function or constraints) along with the associated duality results. Then, we review the fully fuzzy linear programming problems with all variables and parameters being allowed to be fuzzy. Most methods used for solving such problems are based on ranking functions, α-cuts, using duality results or penalty functions. In these methods, authors deal with crisp formulations of the fuzzy problems. Recently, some heuristic algorithms have also been proposed. In these methods, some authors solve the fuzzy problem directly, while others solve the crisp problems approximately. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature
  6. Keywords:
  7. Duality ; Fully fuzzy system ; Fuzzy linear programming ; Fuzzy number ; Ranking function ; Fuzzy rules ; Fuzzy set theory ; Heuristic algorithms ; Information retrieval ; Fully fuzzy linear programming ; Fuzzy decision variables ; Fuzzy linear programming problems ; Fuzzy numbers ; Objective functions ; Ranking functions ; Linear programming
  8. Source: Soft Computing ; Volume 24, Issue 13 , 2020 , Pages 10043-10073
  9. URL: https://link.springer.com/article/10.1007/s00500-019-04519-w