Using the Swing Weight Matrix to Weight MultipleObjectives

摘要

Multiobjective decision analysis is used for trade studies and the evaluation ofrnalternative system and architecture designs. Attributes are identified to measure the achievementrnof each objective. Value (or utility) models are mathematical equations that assess the value (orrnutility) of a score on an attribute and relative weight of each attribute. One of the challengingrnconcepts is that weights depend on both importance and variation of the range of the attribute.rnMany analysts, not familiar with the mathematical theory, assess weights using only importance.rnSeveral years ago, we developed the swing weight matrix to properly assess weights by explicitlyrndefining importance and variation. A second motivation was to provide a tool for communicationrnwith stakeholders and decision makers. This paper presents the swing weight matrix theory, thernapproaches used to define importance and variation, and some illustrative applications. Wernconclude with the challenges, improvements, and benefits of the swing weight matrix.