Fractional Hypercube Decompositions of Multiattribute Utility Functions.
CORNELL UNIV ITHACA N Y DEPT OF OPERATIONS RESEARCH
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Some new results in multiattribute utility theory are presented in this report. It is shown how fractional hypercubes induce the multiple element conditional preference orders used to specify attribute independence conditions, and how they also provide a system of equations used to produce the corresponding multiattribute utility decomposition. Fractional hypercube decompositions include most of the previous forms additive, Keeneys quasi-additive, and Fishburns diagonal and give many new utility decompositons e.g., pyramid, bipyramid, semicube. These new forms model nonseparable attribute interactions, so they are applicable to decision problems in systems analysis, resource allocation, and bundle evaluation, among others. Author
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