A new method for determining the weights in multi-criteria decision making based on ordinal ranking of criteria and lagrange multiplier
Journal Title: Metallurgical and Mining Industry - Year 2017, Vol 9, Issue 5
Abstract
In this paper, we present a new method for determining criteria weights for resolving Multi- Criteria Decision Making (MCDM) problems. Criteria weights are determined by solving optimization problem of a function. This last is reconstituted following resolution of the Hessian matrix whose coefficients are expressed by the weighted average values of criteria as diagonal entries. The proposed method, which based on ordinal ranking of criteria and Lagrange multiplier, determines the weights for any set of criteria under consideration. A case study, relating to the choice problem of an excavator for a Company of public works, is carried out to illustrate the proposed method.
Authors and Affiliations
Ahcène Bouhedja, Jérôme Pousin
Keywords
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