On Consistency of Decision Goals and Separability of Preferences of Decision Alternatives

The paper shows how a specific notion of consistency based on a definition of interactions of decision goals is linked with the notion of separability. Subsets of decision alternatives for which additive aggregation as decision making concept is allowed are systematically identified. These subsets contain alternatives compatible with their preferences and are explicitly calculated in polynomial time. Linear preference information given separately for every single goal turns out to be sufficient in order to describe the input preferences. Despite of this linearity heuristics serving for the resolution of multidimensional decision and optimization problems with interacting goals can be formulated.

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