[PDF][PDF] New approach to the resolution of triangular fuzzy linear programs: MOMA-Plus method

A Compaoré, K Somé, B Somé - International Journal of Applied …, 2017 - academia.edu
International Journal of Applied Mathematical Research, 2017academia.edu
In this paper, we propose a new approach to the resolution of linear programs, whose
coefficients are fuzzy triangular numbers. This new approach is an adaptation from the
method MOMA-plus (Multi-Objective Metaheuristic based on Alineor method)[1] to the
resolution of fuzzy linear programs. First of all it consists in using of a new procedure
proposed here to the converting of the fuzzy linear program into a deterministic multi-
objective linear program, secondly of the using of the MOMA-plus procedure for resolution …
Abstract
In this paper, we propose a new approach to the resolution of linear programs, whose coefficients are fuzzy triangular numbers. This new approach is an adaptation from the method MOMA-plus (Multi-Objective Metaheuristic based on Alineor method)[1] to the resolution of fuzzy linear programs. First of all it consists in using of a new procedure proposed here to the converting of the fuzzy linear program into a deterministic multi-objective linear program, secondly of the using of the MOMA-plus procedure for resolution. Finally, three numerical examples are given to explain the procedures and highlight the performances of this new approach.
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