Revistes Catalanes amb Accés Obert (RACO)

A dual approach in fuzzy linear programming

José Manuel Cadenas Figueredo, Fernando Jiménez Barrionuevo

Resum


In this paper, we propose a relationship of fuzzy duality. We use the Decomposition Theorem and some properties about Linear Programming with interval coefficients to define this relationship. Thus, a linear programming problem with fuzzy costs represented by membership functions L-R can be solved by means of two dual problems (linear programming problems with fuzzy
constraints).

Moreover, these results can be applied to multiobjective problems whose coefficients of the objective function are fuzzy numbers represented by linear membership functions.

Text complet: Text complet