{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,11]],"date-time":"2024-09-11T20:48:03Z","timestamp":1726087683786},"reference-count":50,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Information Sciences"],"published-print":{"date-parts":[[2022,9]]},"DOI":"10.1016\/j.ins.2022.07.187","type":"journal-article","created":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T15:04:15Z","timestamp":1660230255000},"page":"605-623","update-policy":"http:\/\/dx.doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":14,"special_numbering":"C","title":["Decomposition-based multiobjective optimization for nonlinear equation systems with many and infinitely many roots"],"prefix":"10.1016","volume":"610","author":[{"given":"Jing-Yu","family":"Ji","sequence":"first","affiliation":[]},{"given":"Man Leung","family":"Wong","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.ins.2022.07.187_b0005","doi-asserted-by":"crossref","first-page":"18262","DOI":"10.1109\/ACCESS.2021.3053141","article-title":"A new three-term hestenes-stiefel type method for nonlinear monotone operator equations and image restoration","volume":"9","author":"Abubakar","year":"2021","journal-title":"IEEE Access"},{"key":"10.1016\/j.ins.2022.07.187_b0010","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1109\/TEVC.2021.3117116","article-title":"Static and dynamic multimodal optimization by improved covariance matrix self-adaptation evolution strategy with repelling subpopulations","volume":"26","author":"Ahrari","year":"2022","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0015","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.swevo.2019.03.010","article-title":"Solving systems of nonlinear equations using a modified firefly algorithm (MODFA)","volume":"48","author":"Ariyaratne","year":"2019","journal-title":"Swarm Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0020","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1016\/j.asoc.2018.12.025","article-title":"An efficient differential evolution algorithm for stochastic OPF based active\u2013reactive power dispatch problem considering renewable generators","volume":"76","author":"Awad","year":"2019","journal-title":"Appl. Soft Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0025","doi-asserted-by":"crossref","first-page":"89497","DOI":"10.1109\/ACCESS.2020.2990567","article-title":"Pymoo: Multi-objective optimization in python","volume":"8","author":"Blank","year":"2020","journal-title":"IEEE Access"},{"key":"10.1016\/j.ins.2022.07.187_b0030","doi-asserted-by":"crossref","first-page":"666","DOI":"10.1016\/j.ins.2021.07.062","article-title":"Peak temperature analysis and optimization for pipelined hard real-time systems","volume":"575","author":"Cheng","year":"2021","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ins.2022.07.187_b0035","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.swevo.2016.01.004","article-title":"Recent advances in differential evolution \u2013 An updated survey","volume":"27","author":"Das","year":"2016","journal-title":"Swarm Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0040","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1109\/TEVC.2010.2059031","article-title":"Differential evolution: A survey of the state-of-the-art","volume":"15","author":"Das","year":"2011","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0045","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/4235.996017","article-title":"A fast and elitist multiobjective genetic algorithm: NSGA-II","volume":"6","author":"Deb","year":"2002","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0050","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/j.swevo.2011.02.002","article-title":"A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms","volume":"1","author":"Derrac","year":"2011","journal-title":"Swarm Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0055","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/j.ins.2020.06.042","article-title":"Evolutionary algorithm with multiobjective optimization technique for solving nonlinear equation systems","volume":"541","author":"Gao","year":"2020","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ins.2022.07.187_b0060","doi-asserted-by":"crossref","first-page":"1314","DOI":"10.1109\/TCYB.2013.2282491","article-title":"A cluster-based differential evolution with self-adaptive strategy for multimodal optimization","volume":"44","author":"Gao","year":"2014","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.ins.2022.07.187_b0065","unstructured":"D.E. Goldberg, J. Richardson, Genetic algorithms with sharing for multimodal function optimization, in: Proceedings of the Second International Conference on Genetic Algorithms on Genetic Algorithms and Their Application, L. Erlbaum Associates Inc., USA, 1987, pp. 41\u201349."},{"key":"10.1016\/j.ins.2022.07.187_b0070","doi-asserted-by":"crossref","first-page":"697","DOI":"10.1109\/TEVC.2017.2670779","article-title":"A weighted biobjective transformation technique for locating multiple optimal solutions of nonlinear equation systems","volume":"21","author":"Gong","year":"2017","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0075","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1109\/TSMCA.2008.918599","article-title":"A new approach for solving nonlinear equations systems","volume":"38","author":"Grosan","year":"2008","journal-title":"IEEE Trans. Syst. Man Cybern.-Part A"},{"key":"10.1016\/j.ins.2022.07.187_b0080","doi-asserted-by":"crossref","first-page":"2000","DOI":"10.1016\/j.nonrwa.2008.03.006","article-title":"Solving systems of nonlinear equations with continuous grasp","volume":"10","author":"Hirsch","year":"2009","journal-title":"Nonlinear Anal.: Real World Appl."},{"key":"10.1016\/j.ins.2022.07.187_b0085","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/j.ins.2021.06.070","article-title":"An improved dynamic multi-objective optimization approach for nonlinear equation systems","volume":"576","author":"Ji","year":"2021","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ins.2022.07.187_b0090","doi-asserted-by":"crossref","first-page":"2054","DOI":"10.1109\/TSMC.2019.2953336","article-title":"Density-enhanced multiobjective evolutionary approach for power economic dispatch problems","volume":"51","author":"Ji","year":"2021","journal-title":"IEEE Trans. Syst. Man Cybern.: Syst."},{"key":"10.1016\/j.ins.2022.07.187_b0095","unstructured":"J.Y. Ji, S. Zeng, M.L. Wong, \u03b5-Constrained multiobjective differential evolution using linear population size expansion, Inf. Sci. (2022) (in press)."},{"key":"10.1016\/j.ins.2022.07.187_b0100","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1016\/j.ins.2021.06.068","article-title":"Improving decomposition-based multiobjective evolutionary algorithm with local reference point aided search","volume":"576","author":"Jiang","year":"2021","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ins.2022.07.187_b0105","doi-asserted-by":"crossref","first-page":"2065","DOI":"10.1049\/iet-map.2018.5298","article-title":"Antenna design using dynamic multi-objective evolutionary algorithm","volume":"12","author":"Jiao","year":"2018","journal-title":"IET Microwaves Antennas Propag."},{"key":"10.1016\/j.ins.2022.07.187_b0110","series-title":"COMPEL-The international journal for computation and mathematics in electrical and electronic engineering","article-title":"Reduction of power loss by henry\u2019s law-based soluble gas, mobula alfredi and balanced condition optimization algorithms","author":"Kanagasabai","year":"2021"},{"key":"10.1016\/j.ins.2022.07.187_b0115","article-title":"Real power loss reduction by german shepherd dog, explore \u2013save and line up search optimization algorithms","volume":"13","author":"Kanagasabai","year":"2022","journal-title":"Ain Shams Eng. J."},{"key":"10.1016\/j.ins.2022.07.187_b0120","first-page":"1","article-title":"Real power loss reduction by quantum based ptilonorhynchus violaceus optimization and haliastur indus algorithms","author":"Kanagasabai","year":"2022","journal-title":"Int. J. Syst. Assurance Eng. Manage."},{"key":"10.1016\/j.ins.2022.07.187_b0125","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1109\/TEVC.2008.925798","article-title":"Multiobjective optimization problems with complicated Pareto sets, MOEA\/D and NSGA-II","volume":"13","author":"Li","year":"2009","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0130","doi-asserted-by":"crossref","first-page":"1063","DOI":"10.1109\/TEVC.2019.2940828","article-title":"Landscape-aware performance prediction for evolutionary multiobjective optimization","volume":"24","author":"Liefooghe","year":"2020","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0135","doi-asserted-by":"crossref","first-page":"2623","DOI":"10.1109\/TSMC.2018.2855155","article-title":"Historical and heuristic-based adaptive differential evolution","volume":"49","author":"Liu","year":"2018","journal-title":"IEEE Trans. Syst. Man Cybern.: Syst."},{"key":"10.1016\/j.ins.2022.07.187_b0140","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/j.ins.2021.03.067","article-title":"A decomposition-based multiobjective evolutionary algorithm with weights updated adaptively","volume":"572","author":"Liu","year":"2021","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ins.2022.07.187_b0145","doi-asserted-by":"crossref","first-page":"388","DOI":"10.1080\/23249935.2014.1003112","article-title":"A nonlinear equation system approach to the dynamic stochastic user equilibrium simultaneous route and departure time choice problem","volume":"11","author":"Long","year":"2015","journal-title":"Transportmetrica A: Transport Sci."},{"key":"10.1016\/j.ins.2022.07.187_b0150","first-page":"43","article-title":"The irace package: Iterated racing for automatic algorithm configuration","volume":"3","author":"L\u00f3pez-Ib\u00e1\u00f1ez","year":"2016","journal-title":"Oper. Res. Perspect."},{"key":"10.1016\/j.ins.2022.07.187_b0155","doi-asserted-by":"crossref","DOI":"10.1016\/j.swevo.2021.100888","article-title":"A tutorial on the design, experimentation and application of metaheuristic algorithms to real-world optimization problems","volume":"64","author":"Osaba","year":"2021","journal-title":"Swarm Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0160","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1109\/TEVC.2008.927706","article-title":"Differential evolution algorithm with strategy adaptation for global numerical optimization","volume":"13","author":"Qin","year":"2008","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0165","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1109\/TEVC.2011.2161873","article-title":"Differential evolution with neighborhood mutation for multimodal optimization","volume":"16","author":"Qu","year":"2012","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0170","first-page":"1","article-title":"Self-adjusting evolutionary algorithms for multimodal optimization","author":"Rajabi","year":"2022","journal-title":"Algorithmica"},{"key":"10.1016\/j.ins.2022.07.187_b0175","first-page":"126","article-title":"Multiple roots of systems of equations by repulsion merit functions","author":"Ramadas","year":"2014","journal-title":"International Conference on Computational Science and Its Applications, Springer"},{"key":"10.1016\/j.ins.2022.07.187_b0180","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1016\/j.apnum.2021.04.007","article-title":"Tensor krylov subspace methods with an invertible linear transform product applied to image processing","volume":"166","author":"Reichel","year":"2021","journal-title":"Appl. Numer. Math."},{"key":"10.1016\/j.ins.2022.07.187_b0185","doi-asserted-by":"crossref","first-page":"1060","DOI":"10.1109\/TCYB.2018.2880256","article-title":"PPLS\/D: Parallel pareto local search based on decomposition","volume":"50","author":"Shi","year":"2020","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.ins.2022.07.187_b0190","doi-asserted-by":"crossref","first-page":"414","DOI":"10.1109\/TEVC.2014.2336865","article-title":"Locating multiple optimal solutions of nonlinear equation systems based on multiobjective optimization","volume":"19","author":"Song","year":"2015","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0195","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","article-title":"Differential evolution \u2013 A simple and efficient heuristic for global optimization over continuous spaces","volume":"11","author":"Storn","year":"1997","journal-title":"J. Global Optim."},{"key":"10.1016\/j.ins.2022.07.187_b0200","doi-asserted-by":"crossref","unstructured":"R. Tanabe, A. Fukunaga, Success-history based parameter adaptation for differential evolution, in: 2013 IEEE Congress on Evolutionary Computation, 2013, pp. 71\u201378.","DOI":"10.1109\/CEC.2013.6557555"},{"key":"10.1016\/j.ins.2022.07.187_b0205","doi-asserted-by":"crossref","first-page":"1346","DOI":"10.1109\/TII.2015.2485520","article-title":"Enhanced multiobjective evolutionary algorithm based on decomposition for solving the unit commitment problem","volume":"11","author":"Trivedi","year":"2015","journal-title":"IEEE Trans. Industr. Inf."},{"key":"10.1016\/j.ins.2022.07.187_b0210","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1016\/j.ins.2021.03.055","article-title":"An adaptive fuzzy penalty method for constrained evolutionary optimization","volume":"571","author":"Wang","year":"2021","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ins.2022.07.187_b0215","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/j.ins.2021.07.093","article-title":"A novel hybrid particle swarm optimization using adaptive strategy","volume":"579","author":"Wang","year":"2021","journal-title":"Inf. Sci."},{"key":"10.1016\/j.ins.2022.07.187_b0220","doi-asserted-by":"crossref","first-page":"2938","DOI":"10.1109\/TCYB.2015.2493239","article-title":"Incorporating objective function information into the feasibility rule for constrained evolutionary optimization","volume":"46","author":"Wang","year":"2016","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.ins.2022.07.187_b0225","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1109\/TEVC.2019.2910721","article-title":"Automatic niching differential evolution with contour prediction approach for multimodal optimization problems","volume":"24","author":"Wang","year":"2020","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0230","doi-asserted-by":"crossref","first-page":"636","DOI":"10.1109\/TCYB.2016.2523000","article-title":"Multimodal estimation of distribution algorithms","volume":"47","author":"Yang","year":"2017","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.ins.2022.07.187_b0235","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1109\/TEVC.2016.2591064","article-title":"Adaptive multimodal continuous ant colony optimization","volume":"21","author":"Yang","year":"2017","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0240","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1109\/TCDS.2019.2944945","article-title":"Path planning in multiple-auv systems for difficult target traveling missions: A hybrid metaheuristic approach","volume":"12","author":"Yu","year":"2020","journal-title":"IEEE Trans. Cogn. Develop. Syst."},{"key":"10.1016\/j.ins.2022.07.187_b0245","doi-asserted-by":"crossref","first-page":"712","DOI":"10.1109\/TEVC.2007.892759","article-title":"MOEA\/D: A multiobjective evolutionary algorithm based on decomposition","volume":"11","author":"Zhang","year":"2007","journal-title":"IEEE Trans. Evol. Comput."},{"key":"10.1016\/j.ins.2022.07.187_b0250","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1016\/j.ins.2020.07.037","article-title":"Enhancing artificial bee colony algorithm with multi-elite guidance","volume":"543","author":"Zhou","year":"2021","journal-title":"Inf. Sci."}],"container-title":["Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020025522009215?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0020025522009215?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,1,20]],"date-time":"2023-01-20T07:34:49Z","timestamp":1674200089000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0020025522009215"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9]]},"references-count":50,"alternative-id":["S0020025522009215"],"URL":"https:\/\/doi.org\/10.1016\/j.ins.2022.07.187","relation":{},"ISSN":["0020-0255"],"issn-type":[{"value":"0020-0255","type":"print"}],"subject":[],"published":{"date-parts":[[2022,9]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Decomposition-based multiobjective optimization for nonlinear equation systems with many and infinitely many roots","name":"articletitle","label":"Article Title"},{"value":"Information Sciences","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ins.2022.07.187","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2022 Elsevier Inc. All rights reserved.","name":"copyright","label":"Copyright"}]}}