Dominance intensity measuring methods in MCDM with ordinal relations regarding weights

We consider a multicriteria decision-making context in which the decision-maker’s preferences are represented by a multi-attribute additive value function. We account for imprecision concerning the performance of alternatives, value functions and weights, which represent the relative importance of c...

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Bibliographic Details
Published in:Knowledge-based systems 2014-11, Vol.70, p.26-32
Main Authors: Mateos, A., Jiménez-Martín, A., Aguayo, E.A., Sabio, P.
Format: Article
Language:English
Subjects:
Additive value function
Computer simulation
Correlation
Criteria
Decision making
Dominance
Dominance intensity
Imprecision
Knowledge base
MCDM
Monte Carlo methods
Monte Carlo simulation
Representations
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Summary:We consider a multicriteria decision-making context in which the decision-maker’s preferences are represented by a multi-attribute additive value function. We account for imprecision concerning the performance of alternatives, value functions and weights, which represent the relative importance of criteria. We propose two new methods based on dominance intensity measures aimed at ranking alternatives. Both methods can be applied to different representations of imprecision about weights. Their performance is compared with other existing approaches when ordinal weight information represents imprecision concerning weights. Monte Carlo simulation is used for the comparison in terms of a hit ratio and a rank-order correlation.
ISSN:0950-7051
1872-7409
DOI:10.1016/j.knosys.2013.12.002