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Solving fuzzy number linear programming problems using a variable neighborhood search algorithm

Ghorbani Moghadam, K ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1109/CFIS.2018.8336615
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2018
  4. Abstract:
  5. We want to solve fuzzy linear programming problems with fuzzy coefficients in the objective function using a new variable neighborhood search algorithm. In our proposed algorithm, the local search is defined based on descent directions. We make use of our recently proposed modified Kerre's method for finding descent directions. The fuzzy optimization problem is solved directly, without changing it to a crisp program. We show the effectiveness of our proposed method in comparison with some available methods by using a non-parametric statistical sign test. The objective function values obtained by our proposed method turn to be more accurate the ones obtained by other methods. © 2018 IEEE
  6. Keywords:
  7. Fuzzy linear programming problem ; Variable neighborhood search algorithm ; Fuzzy set theory ; Fuzzy sets ; Intelligent systems ; Learning algorithms ; Fuzzy coefficients ; Fuzzy linear programming problems ; Fuzzy optimization ; Linear programming problem ; Modified kerre's method ; Objective function values ; Objective functions ; Variable neighborhood search ; Linear programming
  8. Source: 2018 6th Iranian Joint Congress on Fuzzy and Intelligent Systems, CFIS 2018 ; Volume 2018-January , 2018 , Pages 20-22 ; 9781538628362 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/8336615