# 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

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topCadenas, 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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