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Multiobjective evolutionary algorithms: A survey of the state of the art

Aimin Zhou, Bo-Yang Qu, Hui Li, Shi-Zheng Zhao, Ponnuthurai Nagaratnam Suganthan, Qingfu Zhang
<span title="">2011</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4ctqi4x5bbaczleobj2rvn7lxe" style="color: black;">Swarm and Evolutionary Computation</a> </i> &nbsp;
By evolving a population of solutions, multiobjective evolutionary algorithms (MOEAs) are able to approximate the Pareto optimal set in a single run.  ...  for multimodal problems, constraint handling and MOEAs, computationally expensive multiobjective optimization problems (MOPs), dynamic MOPs, noisy MOPs, combinatorial and discrete MOPs, benchmark problems  ...  An MOEA based on decomposition: MOEA/D A multiobjective evolutionary algorithm based on decomposition (MOEA/D) [28] is a recent multiobjective evolutionary algorithmic framework.  ... 
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Evolutionary Algorithms Based on Decomposition and Indicator Functions: State-of-the-art Survey

Wali Khan, Abdellah Salhi, Muhammad Asif, Muhammad Sulaiman, Rashida Adeeb, Abdulmohsen Algarni
<span title="">2016</span> <i title="The Science and Information Organization"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2yzw5hsmlfa6bkafwsibbudu64" style="color: black;">International Journal of Advanced Computer Science and Applications</a> </i> &nbsp;
Multi-Objective Evolutionary Algorithms (MOEAs) play a dominant role in solving problems with multiple conflicting objective functions.  ...  of Fuzzy dominance concepts and many other advanced techniques for dealing with diverse optimization and search problems  ...  An indicator-based ant colony optimization algorithm which is abbreviated as IBACO is devised [118] for solving the multi-objective knapsack problem (MOKP).  ... 
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Improved evolutionary optimization from genetically adaptive multimethod search

Jasper A. Vrugt, Bruce A. Robinson
<span title="2007-01-10">2007</span> <i title="Proceedings of the National Academy of Sciences"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nvtuoas5pbdsllkntnhizy4f4q" style="color: black;">Proceedings of the National Academy of Sciences of the United States of America</a> </i> &nbsp;
Although the multiobjective optimization problem has been studied quite extensively, current available evolutionary algorithms typically implement a single algorithm for population evolution.  ...  In the last few decades, evolutionary algorithms have emerged as a revolutionary approach for solving search and optimization problems involving multiple conflicting objectives.  ...  Patrick Reed (Penn State University, University Park, PA), and the three anonymous reviewers for comments and suggestions. J.A.V. is supported by the LANL Director's Funded Postdoctoral program.  ... 
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ADEMO/D: Adaptive Differential Evolution for Multiobjective Problems

Sandra M. Scos Venske, Richard A. Goncalves, Myriam R. Delgado
<span title="">2012</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/eako72voxrh6dopc3twk42zrky" style="color: black;">2012 Brazilian Symposium on Neural Networks</a> </i> &nbsp;
The approach named Adaptive Differential Evolution for Multiobjective Problems (ADEMO/D) incorporates concepts of Multiobjective Evolutionary Algorithms based on Decomposition (MOEA/D) and mechanisms of  ...  This paper proposes a method for continuous optimization based on Differential Evolution (DE).  ...  ACKNOWLEDGMENT The authors acknowledge Fundação Araucária project 400/09-10705 and Myriam Delgado thanks CNPq grant 311605/2011-7 for the partial financial support.  ... 
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An Optimization Framework of Multiobjective Artificial Bee Colony Algorithm Based on the MOEA Framework

Jiuyuan Huo, Liqun Liu
<span title="2018-11-01">2018</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3wwzxqpotbc73bzpemzybzg7ee" style="color: black;">Computational Intelligence and Neuroscience</a> </i> &nbsp;
multiobjective optimization problems.  ...  The multiobjective optimization framework aims at the development, experimentation, and study of metaheuristics for solving multiobjective optimization problems.  ...  library for developing and experimenting with multiobjective evolutionary algorithms (MOEAs) and other general purpose multiobjective optimization algorithms.  ... 
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Assessing and Comparing by Specific Metrics the Performance of 15 Multiobjective Optimization Metaheuristics when Solving the Portfolio Optimization Problem

FLORENTINA-MIHAELA APIPIE, VASILE GEORGESCU
<span title="2019-09-21">2019</span> <i title="Bucharest University of Economic Studies"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5qkv74cv6vfnzinalo363yroaq" style="color: black;">ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH</a> </i> &nbsp;
to the Markowitz's Portfolio Optimization Problem.  ...  For comparing the performance of these algorithms, we use several specific metrics quantifying the convergence and/or the diversity of the approximate Pareto front against the true Pareto front.  ...  11.MOEA/D-PaS -Multiobjective Evolutionary Algorithm based on Decomposition using Pareto Adaptive Scalarizing strategy 12.MOEA/D-DRA -Multiobjective Evolutionary Algorithm based on Decomposition with  ... 
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A New Multiobjective Evolutionary Algorithm Based on Decomposition of the Objective Space for Multiobjective Optimization

Cai Dai, Yuping Wang
<span title="">2014</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xdzjuti5nzejrghubfpezefpqi" style="color: black;">Journal of Applied Mathematics</a> </i> &nbsp;
In order to well maintain the diversity of obtained solutions, a new multiobjective evolutionary algorithm based on decomposition of the objective space for multiobjective optimization problems (MOPs)  ...  In the evolutionary process, each subobjective space has a solution, even if it is not a Pareto optimal solution.  ...  Among various multiobjective optimization algorithms, multiobjective evolutionary algorithms (MOEA), which make use of the strategy of the population evolutionary to optimize the problems, are an effective  ... 
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Decomposition-Based Multiobjective Optimization with Invasive Weed Colonies

Yanyan Tan, Xue Lu, Yan Liu, Qiang Wang, Huaxiang Zhang
<span title="2019-08-06">2019</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wpareqynwbgqdfodcyhh36aqaq" style="color: black;">Mathematical Problems in Engineering</a> </i> &nbsp;
evolutionary algorithm based on decomposition (MOEA/D), a popular framework for multiobjective optimization.  ...  In order to solve the multiobjective optimization problems efficiently, this paper presents a hybrid multiobjective optimization algorithm which originates from invasive weed optimization (IWO) and multiobjective  ...  R2 indicator based evolutionary algorithm (R2-IBEA) [18] , hypervolume-based evolutionary algorithm (HypE) [19] , and hybrid Multiobjective Particle Swarm Optimization Algorithm Based on R2 Indicator  ... 
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Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach

E. Zitzler, L. Thiele
<span title="">1999</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dqtjwgdgmjazlimlppwouyrzcq" style="color: black;">IEEE Transactions on Evolutionary Computation</a> </i> &nbsp;
OF NEW ALGORITHMS (SPEA, SPEA2, FEMO) • DESIGN OF BENCHMARK PROBLEMS FOR MULTI- OBJECTIVE OPTIMIZATION • PERFORMANCE INDICATORS AND STATISTICAL PERFORMANCE ASSESSMENT • ANALYTICAL DERIVATION OF  ...  THE DEVELOPMENT AND ANALYSIS OF MULTI-OBJECTIVE OPTIMIZATION ALGORITHMS INCLUDES Zitzler, J. Teich, and S. S. Bhattacharyya. Evolutionary Algorithms for the Synthesis of Embedded Software.  ... 
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Evolutionary Multiobjective Design in Automotive Development

Marco Laumanns, Nando Laumanns
<span title="">2005</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/khkbaqss45bgnjenoehwasx35u" style="color: black;">Applied intelligence (Boston)</a> </i> &nbsp;
This paper describes the use of evolutionary algorithms to solve multiobjective optimization problems arising at different stages in the automotive design process.  ...  optimization of adaptive cruise controllers, and multiobjective system identification.  ...  Though the terminology of PISA is mainly borrowed from evolutionary algorithms, it can also be used with other iterative optimization methods. 3.  ... 
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Editorial for the Special Issue on Theoretical Foundations of Evolutionary Computation

Frank Neumann, Benjamin Doerr, Per K. Lehre, Pauline C. Haddow
<span title="">2014</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dqtjwgdgmjazlimlppwouyrzcq" style="color: black;">IEEE Transactions on Evolutionary Computation</a> </i> &nbsp;
Investigations into hypervolume indicators have lead to new high performing algorithms for multiobjective problems [7] .  ...  Hyper-volume based evolutionary algorithms have received increasing attention in multiobjective optimization and are the focus of the second paper by Bringmann and Friedrich, "Convergence of Hypervolume-Based  ... 
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Special Issue on Evolutionary Fuzzy Systems

Rafael Alcalá, Yusuke Nojima, Hisao Ishibuchi, Francisco Herrera
<span title="">2012</span> <i title="Atlantis Press"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wjdkfhqywrdefeqoyzjz3os76i" style="color: black;">International Journal of Computational Intelligence Systems</a> </i> &nbsp;
, and the applicability to realworld problems.  ...  During this two decades, evolutionary computation has been successfully used for the design of fuzzy systems under the name of Evolutionary Fuzzy Systems (EFSs) or Genetic Fuzzy Systems (GFSs) 1,2,3,4,5,6  ...  Márquez et al. incorporates an adaptive thresholds model into the optimization of rule weights by evolutionary multiobjective optimization.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/18756891.2012.685261">doi:10.1080/18756891.2012.685261</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rl445xmejfgdbkh4bplsgw3txy">fatcat:rl445xmejfgdbkh4bplsgw3txy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180722001115/https://download.atlantis-press.com/article/25867968/pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/78/16/78163dcd430629b8f4dd92f611a558da32f2e1c2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/18756891.2012.685261"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

A Multipopulation Coevolutionary Strategy for Multiobjective Immune Algorithm

Jiao Shi, Maoguo Gong, Wenping Ma, Licheng Jiao
<span title="">2014</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nxzqpsogkbe55mjq33syzghf2e" style="color: black;">The Scientific World Journal</a> </i> &nbsp;
Compared with several state-of-the-art multiobjective evolutionary algorithms on well-known and frequently used multiobjective and many-objective problems, the proposed algorithm achieves comparable results  ...  This paper presents an enhanced nondominated neighbor-based immune algorithm in which a multipopulation coevolutionary strategy is introduced for improving the population diversity.  ...  Some AIS-based multiobjective optimization algorithms have been proposed [31] [32] [33] [34] , including immune optimization algorithm for constrained nonlinear multiobjective optimization problems [  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2014/539128">doi:10.1155/2014/539128</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/24672330">pmid:24672330</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC3942345/">pmcid:PMC3942345</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pon4tgnbvbcp5ded6xw6pjdx4q">fatcat:pon4tgnbvbcp5ded6xw6pjdx4q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190220110358/http://pdfs.semanticscholar.org/229e/77961aa2d221070a4e713eaa2742975d8bda.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/22/9e/229e77961aa2d221070a4e713eaa2742975d8bda.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2014/539128"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> hindawi.com </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3942345" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Evolutionary multiobjective optimization: open research areas and some challenges lying ahead

Carlos A. Coello Coello, Silvia González Brambila, Josué Figueroa Gamboa, Ma Guadalupe Castillo Tapia, Raquel Hernández Gómez
<span title="2019-06-19">2019</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nnhntxrl5vg2zjrahf7teas5oy" style="color: black;">Complex &amp; Intelligent Systems</a> </i> &nbsp;
Evolutionary multiobjective optimization has been a research area since the mid-1980s, and has experienced a very significant activity in the last 20 years.  ...  This paper provides a short description of some of them, with a particular focus on open research areas, rather than on specific research topics or problems.  ...  permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s40747-019-0113-4">doi:10.1007/s40747-019-0113-4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/m5llfto6gzh4doap6gr3fmfwje">fatcat:m5llfto6gzh4doap6gr3fmfwje</a> </span>
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A Multiobjective Brain Storm Optimization Algorithm Based on Decomposition

Cai Dai, Xiujuan Lei
<span title="2019-01-22">2019</span> <i title="Hindawi Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/y3fh56bfunh5fgneywwba6d4ke" style="color: black;">Complexity</a> </i> &nbsp;
Brain storm optimization (BSO) algorithm is a simple and effective evolutionary algorithm. Some multiobjective brain storm optimization algorithms have low search efficiency.  ...  The experimental results show that MBSO/D is more efficient than compared algorithms and can improve the search efficiency for most test problems.  ...  evolutionary algorithms based on decomposition [19] [20] [21] [22] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1155/2019/5301284">doi:10.1155/2019/5301284</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/khr4zwzttjctzatmpkwqv5bt5a">fatcat:khr4zwzttjctzatmpkwqv5bt5a</a> </span>
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