Package org.moeaframework.problem.MaF

package org.moeaframework.problem.MaF
The MaF test problem suite for many-objective optimization. These problems, often variants of problems found in other test suites, are intended to represent real-world scenarios.

The PlatEMO implementation, which is where the authors originally developed this test suite, was referenced while developing this Java implementation. A few discrepancies have been observed between the cited paper and the PlatEMO implementation, including:

  • MaF5 - Equation 9 in the paper includes ^4 on each objective function, but missing from PlatEMO
  • MaF6 - Equation 12 uses 1 in the numerator on the second line, but PlatEMO uses PI
  • MaF13 - Equation 19 uses n but is undefined, based on PlatEMO this value is the same as D
For consistency, we have adopted the PlatEMO implementation.

References:

  1. Cheng, Li, Tian, Zhang, Yang, Jin, and Yao. "A benchmark test suite for evolutionary many-objective optimization." Complex Intell. Syst., 3:67-81, 2017.
  2. https://github.com/BIMK/PlatEMO
  • Classes
    Class
    Description
    MaF1
    The MaF1 test problem, which is a modified inverted version of the DTLZ1 test problem.
    MaF10
    The MaF10 test problem, which is identical to the WFG1 test problem.
    MaF11
    The MaF11 test problem, which is identical to the WFG2 test problem.
    MaF12
    The MaF12 test problem, which is identical to the WFG9 test problem.
    MaF13
    The MaF13 test problem.
    MaF14
    The MaF14 test problem, which is identical to the LSMOP3 test problem with N_k=2 and N_ns=20.
    MaF15
    The MaF15 test problem, which is an inverted version of the LSMOP8 test problem with N_k=2 and N_ns=20..
    MaF2
    The MaF2 test problem, also known as the "DTLZ2BZ" problem.
    MaF3
    The MaF3 test problem, which is a convex version of the DTLZ3 problem.
    MaF4
    The MaF4 test problem, which is an inverted and badly scaled version of the DTLZ3 problem.
    MaF5
    The MaF5 test problem, which is a convex and badly scaled version of the DTLZ4 problem.
    MaF6
    The MaF6 test problem, also known as the "DTLZ5(I,M)" problem with I=2.
    MaF7
    The MaF7 test problem, which is identical to the DTLZ7 test problem.
    MaF8
    The MaF8 test problem.
    MaF9
    The MaF9 test problem.
    MaFProblemProvider
    Problem provider for the MaF test problems.