Advances in Cone-Based Preference Modeling for Decision Making with Multiple Criteria

Margaret M. Wiecek

Abstract


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.

Keywords


cones; preferences; nondominated solutions; Pareto solutions; multiple criteria; decision making

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DOI: https://doi.org/10.7494/dmms.2007.1.2.153

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