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Mejoramiento De La Técnica Topsis Mediante La Integración De La Distancia De Mahalanobis

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Author Info

  • Maria Mojarro Magaña

    ()
    (Estudiante de Posgrado del Departamento de Ingenieria Industrial del Instituto Tecnologico de Celaya)

  • Julio Macías Zúñiga

    ()
    (Departamento de Ingenieria Industrial del Instituto Tecnologico de Celaya)

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    Abstract

    La técnica TOPSIS es una técnica multicriterio y multiatributos que se usa en los procesos de decisión para la selección de una alternativa. Esta técnica está basada en la distancia Euclidiana que tienen un conjunto de alternativas a una alternativa ideal y otra anti-ideal, las cuales se generan con los mejores y peores valores de los atributos en evaluación. Sin embargo, estos atributos no son siempre independientes unos de otros y existe colinealidad entre los mismos, lo cual es fácilmente observable por los números de determinación, la matriz de gráficos de dispersión, los valores de los coeficientes de correlación y los eigenvalores de los datos. En este artículo se demuestra matemáticamente que la integración de la distancia de Mahalanobis en la técnica TOPSIS incluye a los coeficientes de correlación entre los atributos y que la evaluación con la distancia Euclidiana es solamente un caso especial de esta técnica mejorada.

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    File URL: http://admon.itc.mx/ojs3/index.php/ingind/article/viewFile/31/32
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    Bibliographic Info

    Article provided by Instituto Tecnológico de Celaya, Departmento de Ingenieria Industrial in its journal Revista de Ingeniería Industrial.

    Volume (Year): 2 (2007)
    Issue (Month): 2 (Junio)
    Pages: 64-74

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    Handle: RePEc:cey:ingind:v:2:y:2007:i:2:p:64-74

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    Related research

    Keywords: Correlación; TOPSIS; Distancia de Mahalanobis; Distancia Euclideana.;

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