Pyramid and Semicube Decompositions of Multiattribute Utility Functions,

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 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.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1974
Accession Number
ADA010974

Entities

People

  • Peter H. Farquhar

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Chemical Reactions
  • Decomposition

Readers

  • Data Mining and Knowledge Discovery.
  • Graph Algorithms and Convex Optimization.
  • Team-Based Human-Centered Cognitive Task Decision Making and Information Performance.