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

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

Incorporating wealth information into a multiple criteria decision making model

We describe how a multiple criteria decision making (MCDM) modelling framework can be extended to account for one of the behavioral ramifications of a decision making activity, namely, the decision maker's (I)M's) perception of his/her current wealth status, referred to as decisional wealth. Within the MCDM framework, decisional wealth reflects the relative achievements of each of the objectives in a given efficient solution. It is our argument that a DM's preferences and the importance of his/her objectives, vary depending on the decisional wealth. Therefore, we use the wealth information and trade-off analysis to guide the search for preferred outcomes. We identify efficient solutions that satisfy a DM's wealth-dependent preferences, and we illustrate the proposed modelling framework with an example