A dual approach in fuzzy linear programming.

José M. Cadenas; Fernando Jiménez

Mathware and Soft Computing (1996)

  • Volume: 3, Issue: 3, page 383-394
  • ISSN: 1134-5632

Abstract

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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.

How to cite

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Cadenas, José M., and Jiménez, Fernando. "A dual approach in fuzzy linear programming.." Mathware and Soft Computing 3.3 (1996): 383-394. <http://eudml.org/doc/39090>.

@article{Cadenas1996,
abstract = {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.},
author = {Cadenas, José M., Jiménez, Fernando},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Programación lineal; Programación multiobjetivo; Teorema de dualidad; fuzzy linear programming; fuzzy duality; multiobjective problems; fuzzy numbers},
language = {eng},
number = {3},
pages = {383-394},
title = {A dual approach in fuzzy linear programming.},
url = {http://eudml.org/doc/39090},
volume = {3},
year = {1996},
}

TY - JOUR
AU - Cadenas, José M.
AU - Jiménez, Fernando
TI - A dual approach in fuzzy linear programming.
JO - Mathware and Soft Computing
PY - 1996
VL - 3
IS - 3
SP - 383
EP - 394
AB - 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.
LA - eng
KW - Lógica difusa; Programación lineal; Programación multiobjetivo; Teorema de dualidad; fuzzy linear programming; fuzzy duality; multiobjective problems; fuzzy numbers
UR - http://eudml.org/doc/39090
ER -

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