Recently,multimodal multiobjective optimization problems(MMOPs)have received increasing attention.Their goal is to find a Pareto front and as many equivalent Pareto optimal solutions as possible.Although some evolutionary algorithms for them have been proposed,they mainly focus on the convergence rate in the decision space while ignoring solutions diversity.In this paper,we propose a new multiobjective fireworks algorithm for them,which is able to balance exploitation and exploration in the decision space.We first extend a latest single-objective fireworks algorithm to handle MMOPs.Then we make improvements by incorporating an adaptive strategy and special archive guidance into it,where special archives are established for each firework,and two strategies(i.e.,explosion and random strategies)are adaptively selected to update the positions of sparks generated by fireworks with the guidance of special archives.Finally,we compare the proposed algorithm with eight state-of-the-art multimodal multiobjective algorithms on all 22 MMOPs from CEC2019 and several imba-lanced distance minimization problems.Experimental results show that the proposed algorithm is superior to compared algori-thms in solving them.Also,its runtime is less than its peers'.

Shoufei Han;Kun Zhu;MengChu Zhou;Xiaojing Liu;Haoyue Liu;Yusuf Al-Turki;Abdullah Abusorrah

College of Computer Science and Technology,Nanjing University of Aeronautics and Astronautics;Collaborative Innovation Center of Novel Software Technology and Industrialization,Nanjing 211106,China;Department of Electrical and Computer Engineering,New Jersey Institute of Technology,Newark NJ 07102 USA;Center of Research Excellence in Renewable Energy and Power Systems,Department of Electrical and Computer Engineering,Faculty of Engineering,King Abdulaziz University,Jeddah 21589,Saudi Arabia;K.A.CARE Energy Research and Innovation Center,King Abdulaziz University,Jeddah 21589,Saudi Arabia

自动化学报（英文版）

[1]Shoufei Han;Kun Zhu;MengChu Zhou;Xiaojing Liu;Haoyue Liu;Yusuf Al-Turki;Abdullah Abusorrah-.A Novel Multiobjective Fireworks Algorithm and Its Applications to Imbalanced Distance Minimization Problems)[J].自动化学报（英文版）,2022(08):1476-1489

MMOPs,firework,sparks,imba,lanced,algori,thms

Novel,Multiobjective,Fireworks,Algorithm,Its,Applications,Imbalanced,Distance,Minimization,Problems,Recently,multimodal,multiobjective,optimization,problems,have,received,increasing,attention,Their,goal,find,Pareto,front,many,equivalent,optimal,solutions,possible,Although,some,evolutionary,algorithms,them,been,proposed,they,mainly,focus,convergence,decision,space,while,ignoring,diversity,In,this,paper,we,new,fireworks,which,able,exploitation,exploration,We,first,extend,latest,single,handle,Then,make,improvements,by,incorporating,strategy,special,guidance,into,where,archives,established,each,two,strategies,explosion,random,adaptively,selected,update,positions,generated,Finally,eight,state,art,from,CEC2019,several,distance,minimization,Experimental,results,show,that,superior,compared,solving,Also,its,runtime,less,than,peers

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