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A two- phase approach for solving fuzzy flexible linear programming problems with fuzzy objective coefficients
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S.H. Nasseri   , S Mansouri |
| Department of Mathematics and Big Data, Foshan University, Foshan, China and Department of mathematics, University of Mazandaran, Babolsar, Iran |
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Abstract: (1112 Views) |
| In this paper, new concepts of α -feasibility and α -efficiency of solutions for fuzzy mathematical programming problems are used, where α is a vector of distinct satisfaction degrees. Recently, a special kind of fuzzy mathematical programming entitled Fuzzy Flexible Linear programming (FFLP) is attracted much interest. Using the mentioned concepts, we propose a two-phase approach to solve FFLP. In the first phase, the original FFLP problem converts to a Multi-Objective Linear Programming (MOLP) problem, and then in phase II a weighting technique for the reduced program is introduced. We saw that it was observed that using this concept as a generalization of the parametric approach in linear programming provides a more appropriate tool for modeling real problems and improving the solving process. Thus, by using this two-phase approach, we achieve better utilization of available resources. Further, the solution resulting from these two approaches is always an α -efficient solution. Finally, an example in the real world is described to express this approach. |
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| Keywords: Fuzzy Linear Programming, Triangular Fuzzy Numbers, Multi-Objective Linear Programming, Feasibility and Efficiency. |
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Full-Text [PDF 656 kb]
(1006 Downloads)
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Type of Study: case report |
Subject:
General
Received: 2021/09/13 | Accepted: 2022/03/15 | Published: 2023/01/20
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