Accession Number : AD0787587

Title :   Fractional Hypercube Decompositions of Multiattribute Utility Functions.

Descriptive Note : Technical rept.,

Corporate Author : CORNELL UNIV ITHACA N Y DEPT OF OPERATIONS RESEARCH

Personal Author(s) : Farquhar,Peter H.

Report Date : AUG 1974

Pagination or Media Count : 155

Abstract : 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, Keeney's quasi-additive, and Fishburn's 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)

Descriptors :   *Decision theory, *Decision making, Risk, Probability, Mathematical programming, Statistical analysis, Measure theory, Convex sets, Theorems, Theses

Subject Categories : Administration and Management
      Economics and Cost Analysis
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE