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

Authors

  • Margaret M. Wiecek Clemson University

DOI:

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

Keywords:

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

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.

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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

Issue

Section

Articles
Received 2013-08-25
Accepted 2013-08-25
Published 2007-10-11