Generalization of Domination Structures and Nondominated Solutions in Multicriteria Decision Making.

Abstract

The concepts of domination structures and nondominated solutions are important in tackling multicriteria decision problems. The authors relax Yu's requirement that the domination structure at each point of the criteria space be a convex cone and give results concerning the set of nondominated solutions for the case where the domination structure at each point is a convex set. A practical necessity for such a generalization is discussed. The authors also present conditions under which a locally nondominated solution is also a globally nondominated solution. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1974
Accession Number
AD0784418

Entities

People

  • Abraham Charnes
  • Ken Bergstresser
  • P. L. Yu

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Algebra
  • Convex Sets
  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Oncology and Biomarker-Based Cancer Detection.
  • Systems Analysis and Design

Technology Areas

  • Space