Dual cone approach to convex-cone dominance in multiple criteria decision making

Pekka Korhonen, Majid Soleimani-Damaneh, Jyrki Wallenius*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

Abstract

In a paper published in Management Science in 1984, Korhonen, Wallenius, and Zionts presented the idea and method based on convex-cone dominance in the discrete Multiple Criteria Decision Making framework. In our current paper, we revisit the old idea from a new standpoint and provide the mathematical theory leading to a dual-cone based approach to solving such problems. Our paper makes the old results computationally more tractable. The results provided in the present paper also help extend the theory.

Original languageEnglish
Pages (from-to)1139-1143
Number of pages5
JournalEuropean Journal of Operational Research
Volume249
Issue number3
DOIs
Publication statusPublished - 16 Mar 2016
MoE publication typeA1 Journal article-refereed

Keywords

  • Convex-cone dominance
  • Dual/Polar cone
  • Duality
  • Linear programming
  • Multiple criteria analysis

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