Pyramid and Semicube Decompositions of Multiattribute Utility Functions.

by P. H. Farquhar

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The fractional hypercube decomposition theorem for multiattribute utility functions is used to produce two new decompositions: the pyramid and the semicube. The pyramid decomposition resembles Keeney's quasi-additive decomposition but has nonseparable interactions between every pair of attributes. The semicube decomposition has nonseparable terms for all but the highest order interaction. These decompositions illustrate the diversity of results that can be generated with fractional hypercubes. 35 pp. Ref.

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