Decompositions of Multiattribute Utility Functions Based on Convex Dependence.

Abstract

This paper describes a method of assessing multiattribute utility functions. Introduced is the concept of convex dependence, which considers the change of shapes of conditional utility functions. Then, theorems which show how to decompose multiattribute utility functions using convex dependence are established. The convex decompositionincludes as special cases Keeney's additive/multiplicative decompositions, Fishburn's bilateral decomposition, and Bell's decomposition under the interpolation independence. Moreover, the convex decomposition is an exact grid model which was axiomatized by Fishburn and Farquhar.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1982
Accession Number
ADA115048

Entities

People

  • Hiroyuki Tamura
  • Yutaka Nakamura

Organizations

  • University of California, Davis

Tags

Communities of Interest

  • Biomedical
  • Human Systems

DTIC Thesaurus Topics

  • Behavioral Sciences
  • Business Administration
  • California
  • Commerce
  • Engineering
  • Industrial Engineering
  • Interpolation
  • Mathematics
  • Military Research
  • Operations Research
  • Psychology
  • Schools
  • Social Sciences
  • Systems Engineering
  • Theorems
  • United States
  • Universities

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