4.7 Article

A linear programming approach for learning non-monotonic additive value functions in multiple criteria decision aiding

Journal

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 259, Issue 3, Pages 1073-1084

Publisher

ELSEVIER
DOI: 10.1016/j.ejor.2016.11.038

Keywords

Multiple criteria analysis; Preference disaggregation; Decision analysis; Linear programming; Non-monotonic value functions

Funding

  1. Secretaria d'Universitats i Recerca del Departament d'Economia i Coneixement de la Generalitat de Catalunya [2015FI_B1 00105]

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A new framework for preference disaggregation in multiple criteria decision aiding is introduced. The proposed approach aims to infer non-monotonic additive preference models from a set of indirect pair wise comparisons. The preference model is presented as a set of marginal value functions and the discriminatory power of the inferred preference model is maximized against its complexity. To infer a value function that is compatible with the supplied preference information, the proposed methodology leads to a linear programming optimization problem that is easy to solve. The applicability and effectiveness of the new methodology is demonstrated in a thorough experimental analysis covering a broad range of decision problems. (C) 2016 Elsevier B.V. All rights reserved.

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