Accession Number:

ADA010974

Title:

Pyramid and Semicube Decompositions of Multiattribute Utility Functions,

Descriptive Note:

Corporate Author:

RAND CORP SANTA MONICA CALIF

Personal Author(s):

• Farquhar,Peter H.

Report Date:

1974-11-01

Pagination or Media Count:

42.0

Abstract:

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 Keeneys 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.

Descriptors:

• *DECISION THEORY
• DECOMPOSITION
• THEOREMS

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE