benchmarkfcns.multiobjective.zdt6

benchmarkfcns.multiobjective.zdt6(arg0: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]']

Computes the value of the ZDT6 multi-objective benchmark function. SCORES = multiobjective.zdt6(X) computes the value of the ZDT6 function at point X. multiobjective.zdt6 accepts a matrix of size M-by-N and returns a matrix SCORES of size M-by-2. Properties:

  • Global Pareto front: f_2 = 1 - f_1^2

  • Number of dimensions: n (usually 10)

  • Recommended domain: [0, 1]^n

  • Mapping: Tests Non-uniform mapping/density to the Pareto front

For more information, please visit: benchmarkfcns.info/doc/zdt6fcn

Mathematical Definition

Visualization

zdt6 landscape