On generating fuzzy Pareto solutions in fully fuzzy multiobjective linear programming via a compromise method

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.

Automated summary

This paper proposes a new method for obtaining fuzzy Pareto solutions of a fully fuzzy multiobjective linear programming problem. By combining triangular fuzzy numbers and variables with fuzzy partial orders and fuzzy arithmetic, algorithms are provided to generate fuzzy Pareto solutions, including compromise fuzzy Pareto solutions, which is a novelty in this field.