Resumen
En este artículo se considera un problema de Programación Lineal en el que los coeficientes del sistema de inecuaciones lineales, que definen el conjunto de restricciones, están dados de forma imprecisa o vaga. Se supone entonces que tales coeficientes pueden ser definidos mediante números difusos. Se propone un enfoque de resolución basado en las distintas versiones existentes para la comparación de números difusos. Finalmente, se obtienen diferentes modelos auxiliares de Programación Lineal, que corresponden a las distintas formas de comparación de números difusos y a partir de los cuales se queede dar una solución al problema inicialmente propuesto.
Abstract
In this paper it is considered a Linear Programming problem in which the coefficients in the system of linear inequalities defining the constraint set are given in an imprecise, or vague, way. It is supposed those coefficients may be defined by means of fuzzy numbers. An approach of solution based upon the several versions that exist to compare fuzzy numbers is proposed. Finally, corresponding to the different ways to compare fuzzy numbers, distinct auxiliary models of Linear Programming are obtained. From each of which, a solution to the former problem may be obtained.
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Campos, L., Verdegay, J.L. Modelos auxiliares para problemas de programacion lineal con coeficientes imprecisos en las restricciones. Trabajos de Investigacion Operativa 4, 21–38 (1989). https://doi.org/10.1007/BF02888338
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DOI: https://doi.org/10.1007/BF02888338