融合动态模糊扰动和特征引导的稀疏大规模多目标优化算法

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中图分类号:TP301.6 文献标志码:A 文章编号:1001-3695(2025)12-016-3651-09

doi:10.19734/j. issn.1001-3695.2025.04.0113

Sparse large-scale multi-objective optimization algorithm incorporating dynamic fuzzy perturbation and feature guidance

Li Tongla.1b,Gu Qinghuala.b†,Wang Qiana.b,Luo Jialeb,1c,Wang Jianguo² (1.ColgeKbeltf Management,Xi’anUniverstyfArchitectureandTechnology,Xi’an7o55,China;2.Hami HexiangIndustryandTrdeCo,d, Hami Xinjiang 839200,China)

Abstract:Existing multi-objectiveevolutionaryalgorithmsfacechalenges including weaksparsitycontrol,porbalance inesolving objectiveconflicts,andsusceptibilitytolocaloptima whensolving large-scalesparseulti-objectiveoptimizationproblems.Thispaperproposedamulti-objectiveevolutionaryalgorithmincorporating dynamicfuzzyperturbationand featureguidedadaptivecrosover(MOEA-FA)toaddresstheseissues.Itfirstlyemployedadynamic fuzyperturbation strategywith dual-phase parameteradaptationtoguidetheevolutionarypopulation towardsspecificpreferenceregions forobtainingdecisionmaker-desiredsolutions,alancingojectiveconflictsandpreventingprematureonvergene.Additionally,tealgoritadopted afeature-gudedadaptivecrossoverstrategyforbinaryvariables,dentifyingcriticalfeaturesbasedonvariableactivationfre quencyandprioritizing theretentionofhigh-contributionvariables tomaintainsolutionsparsity.Tovalidate MOEA-FA'seffectiveness,the paper evaluated itagainst sixstate-of-the-artalgorithmson eightbenchmark problems(SMOP)and porfoliooptimization problems.Experimental results show MOEA-FA achieves the best IGD values on 80% of the test problems and the best HV values on 82.86% of the test problems. These results demonstrate MOEA-FA offers superior performance for solving large-scale sparse multi-objective optimization problems.

Keywords:large-scalesparsemulti-objectiveoptimization;dynamic fuzzyperturbation;feature-guidedadaptivecrossover; two-stage parameter self-adaptive control; bimodal membership competitive decision-making

0 引言

现实问题中常存在多个相互冲突的目标,因此将工程问题建模为多目标优化问题具有直观意义[1]。(剩余20832字)

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