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On Properly Pareto Optimal Solutions

Authors: Pradyumn Kumar Shukla, Joydeep Dutta, and Kalyanmoy Deb

Published in: Dagstuhl Seminar Proceedings, Volume 4461, Practical Approaches to Multi-Objective Optimization (2005)


Abstract
In this paper we study epsilon-proper efficiency in multiobjective optimization. We introduce various new definitions of epsilon-proper efficiency, relate them with existing ones, study various concepts and develop very general necessary optimality conditions for a few of them.

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Pradyumn Kumar Shukla, Joydeep Dutta, and Kalyanmoy Deb. On Properly Pareto Optimal Solutions. In Practical Approaches to Multi-Objective Optimization. Dagstuhl Seminar Proceedings, Volume 4461, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)


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@InProceedings{shukla_et_al:DagSemProc.04461.17,
  author =	{Shukla, Pradyumn Kumar and Dutta, Joydeep and Deb, Kalyanmoy},
  title =	{{On Properly Pareto Optimal Solutions}},
  booktitle =	{Practical Approaches to Multi-Objective Optimization},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4461},
  editor =	{J\"{u}rgen Branke and Kalyanmoy Deb and Kaisa Miettinen and Ralph E. Steuer},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04461.17},
  URN =		{urn:nbn:de:0030-drops-2403},
  doi =		{10.4230/DagSemProc.04461.17},
  annote =	{Keywords: Proper efficiency, epsilon solutions}
}
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