A dual approach in fuzzy linear programming

  1. Cadenas Figueredo, José Manuel
  2. Jiménez, Fernando
Aldizkaria:
Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

ISSN: 1134-5632

Argitalpen urtea: 1996

Alea: 3

Zenbakia: 3

Orrialdeak: 383-394

Mota: Artikulua

Beste argitalpen batzuk: Mathware & soft computing: The Magazine of the European Society for Fuzzy Logic and Technology

Laburpena

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.