Variation rate: An alternative to maintain diversity in decision space for multi-objective evolutionary algorithms

Oliver Cuate, Oliver Schütze

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In almost all cases the performance of a multi-objective evolutionary algorithm (MOEA) is measured in terms of its approximation quality in objective space. As a consequence, most MOEAs focus on such approximations while neglecting the distribution of the individuals in decision space. This, however, represents a potential shortcoming in certain applications as in many cases one can obtain the same or a very similar qualities (measured in objective space) in several ways (measured in decision space) which may be very valuable information for the decision maker for the realization of a project. In this work, we propose the variable-NSGA-III (vNSGA-III) an algorithm that performs an exploration both in objective and decision space. The idea behind this algorithm is the so-called variation rate, a heuristic that can easily be integrated into other MOEAs as it is free of additional design parameters. We demonstrate the effectiveness of our approach on several benchmark problems, where we show that, compared to other methods, we significantly improve the approximation quality in decision space without any loss in the quality in objective space.

Original languageEnglish
Title of host publicationEvolutionary Multi-Criterion Optimization - 10th International Conference, EMO 2019, Proceedings
EditorsKathrin Klamroth, Kalyanmoy Deb, Erik Goodman, Patrick Reed, Kaisa Miettinen, Sanaz Mostaghim, Carlos A. Coello Coello
PublisherSpringer Verlag
Pages203-215
Number of pages13
ISBN (Print)9783030125974
DOIs
StatePublished - 2019
Externally publishedYes
Event10th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2019 - East Lansing, United States
Duration: 10 Mar 201913 Mar 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11411 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference10th International Conference on Evolutionary Multi-Criterion Optimization, EMO 2019
Country/TerritoryUnited States
CityEast Lansing
Period10/03/1913/03/19

Keywords

  • Decision space diversity
  • Evolutionary computation
  • Multi-objective optimization

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