A Parametric Representation of Additive Value Functions

This paper introduces a new parameter for measuring deterministic preference tradeoffs between pairs of attributes. In terms of this parameter, necessary and sufficient conditions for a value function to be additive are established. When additivity conditions are satisfied, a set of these parameters is shown to characterize the value function uniquely up to a set of scaling constants. Implications for assessment, for transforming a nonadditive representation into an additive one, and for multiattribute utility functions are presented.

• 저널Management Science · 27(10) · 1200–1208
• 토픽Multi-Criteria Decision Making · Management Science and Operations Research
• DOI10.1287/mnsc.27.10.1200
• 저자Thomas W. Keelin