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Pareto Front Estimation Using Unit Hyperplane

Open in MATLAB Online

How to use

PFE.m is main file. You can execute PFE.m like

>> PFE

or

matlab -batch PFE
  • EMO2021 version: the input is a vector with the dimension of the objective number - 1.
  • Doctoral thesis version: the input is a vector with the same dimensions as the objective number.

Sample images
image image image
Simpex-lattice Incremental lattice Hammersley method

Reference

  • Tomoaki Takagi, Keiki Takadama, and Hiroyuki Sato: Pareto Front Estimation Using Unit Hyperplane, Proc. of The 11th Edition of International Conference Series on Evolutionary Multi-Criterion Optimization (EMO2021), Lecture Notes in Computer Science (LNCS), Vol. 12654, Springer, Cham, pp. 126–138, 2021. DOI.
  • Tomoaki Takagi: Pareto Front Estimation for Multi-Objective Decision-Making and Supervised/Unsupervised Multi-Objective Optimization, Ph.D. thesis, The University of Electro-Communications, March 2023. DOI.