no. 6
On generating fuzzy Pareto solutions in fully fuzzy multiobjective linear programming via a compromise method
RAIRO. Operations Research, Tome 56 (2022) no. 6, pp. 4035-4045

In the present paper, it is unified and extended recent contributions on fully fuzzy multiobjective linear programming, and it is proposed a new method for obtaining fuzzy Pareto solutions of a fully fuzzy multiobjective linear programming problem. For its formulation, triangular fuzzy numbers and variables are combined with fuzzy partial orders and fuzzy arithmetic, and no ranking functions are required. By means of solving related crisp multiobjective linear problems, it is provided algorithms to generate fuzzy Pareto solutions; in particular, to generate compromise fuzzy Pareto solutions, what is a novelty in this field.

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DOI : 10.1051/ro/2022196
Classification : 90C70, 03E72, 90C29
Keywords: Fully fuzzy multiobjective linear programming, fuzzy sets, fuzzy numbers, multiobjective optimization 
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     title = {On generating fuzzy {Pareto} solutions in fully fuzzy multiobjective linear programming \protect\emph{via} a compromise method},
     journal = {RAIRO. Operations Research},
     pages = {4035--4045},
     year = {2022},
     publisher = {EDP-Sciences},
     volume = {56},
     number = {6},
     doi = {10.1051/ro/2022196},
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     url = {https://www.numdam.org/articles/10.1051/ro/2022196/}
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Arana-Jiménez, Manuel. On generating fuzzy Pareto solutions in fully fuzzy multiobjective linear programming via a compromise method. RAIRO. Operations Research, Tome 56 (2022) no. 6, pp. 4035-4045. doi: 10.1051/ro/2022196

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