# Solving a possibilistic linear program through compromise programming.

Mariano Jiménez López; María Victoria Rodríguez Uría; María del Mar Arenas Parra; Amelia Bilbao Terol

Mathware and Soft Computing (2000)

- Volume: 7, Issue: 2-3, page 175-184
- ISSN: 1134-5632

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topJiménez López, Mariano, et al. "Solving a possibilistic linear program through compromise programming.." Mathware and Soft Computing 7.2-3 (2000): 175-184. <http://eudml.org/doc/39197>.

@article{JiménezLópez2000,

abstract = {In this paper we propose a method to solve a linear programming problem involving fuzzy parameters whose possibility distributions are given by fuzzy numbers. To address the above problem we have used a preference relationship of fuzzy numbers that leads us to a solving method that produces the so-called α-degree feasible solutions. It must be pointed out that the final solution of the problem depends critically on this degree of feasibility, which is in conflict with the optimal value of the objective function. Then DM faces a bi-objective problem that we will solve through a Compromise Programming approach, whose solution lets the Decision-Maker express his own preferences about feasibility versus optimality. Our proposed method will be illustrated by a numerical example.},

author = {Jiménez López, Mariano, Rodríguez Uría, María Victoria, Arenas Parra, María del Mar, Bilbao Terol, Amelia},

journal = {Mathware and Soft Computing},

keywords = {Programación lineal; Números difusos; -degree feasible solutions; compromise programming; expected interval; expected value; fuzzy number ranking; linear programming; fuzzy parameters; possibility distributions; preference relationship of fuzzy numbers},

language = {eng},

number = {2-3},

pages = {175-184},

title = {Solving a possibilistic linear program through compromise programming.},

url = {http://eudml.org/doc/39197},

volume = {7},

year = {2000},

}

TY - JOUR

AU - Jiménez López, Mariano

AU - Rodríguez Uría, María Victoria

AU - Arenas Parra, María del Mar

AU - Bilbao Terol, Amelia

TI - Solving a possibilistic linear program through compromise programming.

JO - Mathware and Soft Computing

PY - 2000

VL - 7

IS - 2-3

SP - 175

EP - 184

AB - In this paper we propose a method to solve a linear programming problem involving fuzzy parameters whose possibility distributions are given by fuzzy numbers. To address the above problem we have used a preference relationship of fuzzy numbers that leads us to a solving method that produces the so-called α-degree feasible solutions. It must be pointed out that the final solution of the problem depends critically on this degree of feasibility, which is in conflict with the optimal value of the objective function. Then DM faces a bi-objective problem that we will solve through a Compromise Programming approach, whose solution lets the Decision-Maker express his own preferences about feasibility versus optimality. Our proposed method will be illustrated by a numerical example.

LA - eng

KW - Programación lineal; Números difusos; -degree feasible solutions; compromise programming; expected interval; expected value; fuzzy number ranking; linear programming; fuzzy parameters; possibility distributions; preference relationship of fuzzy numbers

UR - http://eudml.org/doc/39197

ER -