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- Title
Pyramid and Semicube Decompositions of Multiattribute Utility Functions.
- Authors
Farquhar, Peter H.
- Abstract
We apply the fractional hypercube decomposition theorem for multiattribute utility functions to the quasi-pyramid, the pyramid, and the semicube fractions. The resulting nonadditive utility models illustrate the broad range of decompositions that can be obtained with this fractional hypercube methodology. The pyramid decompositions have nonseparable interaction terms for each pair of attributes, whereas the semicube decomposition has nonseparable interaction terms for each proper subset of attributes. The computations and scaling illustrated here can be performed with other fractional hypercubes to produce various results between these two extremes.
- Subjects
MATHEMATICAL decomposition; UTILITY functions; FRACTIONS; PROBABILITY theory; MATHEMATICAL programming; POLYHEDRAL functions; MATHEMATICAL models
- Publication
Operations Research, 1976, Vol 24, Issue 2, p256
- ISSN
0030-364X
- Publication type
Article
- DOI
10.1287/opre.24.2.256