Advances in cone-based preference modeling for decision making with multiple criteria

Advances in cone-based preference modeling for decision making with multiple criteria

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Article ID: iaor200935048
Country: Poland
Volume: 1
Issue: 1/2
Start Page Number: 153
End Page Number: 173
Publication Date: Jan 2007
Journal: Decision Making in Manufacturing and Services
Authors:
Keywords: decision
Abstract:

Decision making with multiple criteria requires preferences elicited from the decision maker to determine a solution set. Models of preferences, that follow 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.

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