Title | Preference-Based Nonlinear Normalization for Multiobjective Optimization |
Author | |
Corresponding Author | Ishibuchi,Hisao |
DOI | |
Publication Years | 2023
|
ISSN | 0302-9743
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EISSN | 1611-3349
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Source Title | |
Volume | 13970 LNCS
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Pages | 563-577
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Abstract | Normalization is commonly used in multiobjective evolutionary algorithms (MOEAs) in order to handle multiobjective optimization problems with differently-scaled objectives. The goal of normalization is to obtain uniformly-distributed solutions over the entire Pareto front. However, in practice, such a uniform solution set may not be a well-distributed solution set for decision making when the desired distribution of solutions is not uniform. To obtain a well-distributed solution set that meets the desired distribution, in this paper, we propose a preference-based nonlinear normalization method that transforms the objective space based on the probability integral transform theorem. As a result, the use of a standard MOEA to search for uniformly-distributed solutions in the transformed objective space leads to a desired well-distributed solution set. The proposed method is incorporated in three different MOEAs (i.e., a Pareto dominance-based MOEA, a decomposition-based MOEA, and an indicator-based MOEA). Experimental results demonstrate the flexibility and effectiveness of the proposed method. Our code is available at https://github.com/linjunhe/moea-pn. |
Keywords | |
SUSTech Authorship | First
; Corresponding
|
Language | English
|
URL | [Source Record] |
Scopus EID | 2-s2.0-85151052620
|
Data Source | Scopus
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Citation statistics |
Cited Times [WOS]:0
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Document Type | Conference paper |
Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/524288 |
Department | Department of Computer Science and Engineering |
Affiliation | 1.Department of Computer Science and Engineering,Southern University of Science and Technology (SUSTech),Shenzhen,China 2.Department of Electrical and Computer Engineering,National University of Singapore,Singapore,Singapore |
First Author Affilication | Department of Computer Science and Engineering |
Corresponding Author Affilication | Department of Computer Science and Engineering |
First Author's First Affilication | Department of Computer Science and Engineering |
Recommended Citation GB/T 7714 |
He,Linjun,Nan,Yang,Ishibuchi,Hisao,et al. Preference-Based Nonlinear Normalization for Multiobjective Optimization[C],2023:563-577.
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