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Approximate weighting method for multiattribute decision problems with imprecise parameters

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  • Ahn, Byeong Seok

Abstract

A multiattribute decision problem with imprecise parameters refers to one in which at least one of the parameters such as attribute weights and value scores is not represented by precise numerical values. Some well-known types of incomplete attribute weights are chosen and analyzed to find their extreme points. In doing so, we show that their coefficients matrix, by itself or by the change of variables, belongs to a class of M-matrix which enables us to find its extreme points readily due to the inverse-positive property.

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  • Ahn, Byeong Seok, 2017. "Approximate weighting method for multiattribute decision problems with imprecise parameters," Omega, Elsevier, vol. 72(C), pages 87-95.
    • Handle: RePEc:eee:jomega:v:72:y:2017:i:c:p:87-95
    DOI: 10.1016/j.omega.2016.11.006
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    4. Kunsch, Pierre L. & Ishizaka, Alessio, 2019. "A note on using centroid weights in additive multi-criteria decision analysis," European Journal of Operational Research, Elsevier, vol. 277(1), pages 391-393.
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