Normalized Ranking Based Particle Swarm Optimizer for Many Objective Optimization

  • Shi ChengEmail author
  • Xiujuan Lei
  • Junfeng Chen
  • Jiqiang Feng
  • Yuhui Shi
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10593)


Nearly all solutions are Pareto non-dominated for multi-objective problems with more than three conflicting objectives. Thus, the comparison of solutions is a critical issue in many objective optimization. A simple but effective normalized ranking metric based method is proposed to compare solutions in this paper. All solutions are ranked by the sum of normalized fitness value of each objective. A solution with a small value is considered to be a good solution for minimum optimization problems. To enhance the population diversity of all solutions, the solutions with small values and the solutions with better fitness values on each objective are kept in an archive and updated per iteration. This ranking metric is further utilized in a particle swarm optimization algorithm to solve multiobjective and many objective problems. Four benchmark problems are utilized to test the proposed algorithm. Experimental results demonstrate that the proposed algorithm is a promising approach for solving the multiobjective and many objective optimization problems.


Diversity maintaining Multiple/many objective optimization Particle swarm optimizer Normalized ranking 



This work was supported in part by the National Natural Science Foundation of China under Grant 61672334, 61403121, and 61273367; in part by the Shenzhen Science and Technology Innovation Committee under grant number ZDSYS201703031748284; and in part by the Fundamental Research Funds for the Central Universities under Grant GK201703062.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Shi Cheng
    • 1
    Email author
  • Xiujuan Lei
    • 1
  • Junfeng Chen
    • 2
  • Jiqiang Feng
    • 3
  • Yuhui Shi
    • 4
  1. 1.School of Computer ScienceShaanxi Normal UniversityXi’anChina
  2. 2.College of IOT EngineeringHohai UniversityChangzhouChina
  3. 3.Institute of Intelligent Computing ScienceShenzhen UniversityShenzhenChina
  4. 4.Shenzhen Key Lab of Computational Intelligence, Department of Computer Science and EngineeringSouthern University of Science and TechnologyShenzhenChina

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