“…Plenty of applied and theoretical research has been done to develop analytic support for such decisions, mainly under titles such as portfolio decision analysis, project portfolio selection and resource allocation (for overviews see, e.g., Klein-constraints can be introduced to limit the sum into a range where the marginal value is approximately constant (e.g., Kleinmuntz 2007). However, these approaches are not directly applicable for 'non-additive' attributes or attributes without a natural measurement scale, which both are common in applications of multiobjective portfolio decision analysis (e.g., Golabi et al 1981, Ewing Jr. et al 2006, Liesiö et al 2007, Kleinmuntz 2007, Phillips and Bana e Costa 2007. As an exception, Grushka-Cockayne et al (2008) use non-additive criterion specific portfolio value functions in the In this paper we develop non-additive portfolio value functions based on the theory of measurable multiattribute value functions by Dyer and Sarin (1979).…”