Advances in Cone-Based Preference Modeling for Decision Making with Multiple Criteria
DOI:
https://doi.org/10.7494/dmms.2007.1.2.153Keywords:
cones, preferences, nondominated solutions, Pareto solutions, multiple criteria, decision makingAbstract
Decision making with multiple criteria requires preferences elicited from the decision maker to determine a solution set. Models of preferences, that follow upon the concept of nondominated solutions introduced by Yu (1974), are presented and compared within a unified framework of cones. Polyhedral and nonpolyhedral, convex and nonconvex, translated, and variable cones are used to model different types of preferences. Common mathematical properties of the preferences are discussed. The impact of using these preferences in decision making is emphasized.Downloads
Published
2007-10-11
How to Cite
Wiecek, M. M. (2007). Advances in Cone-Based Preference Modeling for Decision Making with Multiple Criteria. Decision Making in Manufacturing and Services, 1(2), 153–173. https://doi.org/10.7494/dmms.2007.1.2.153
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Received 2013-08-25
Accepted 2013-08-25
Published 2007-10-11
Accepted 2013-08-25
Published 2007-10-11