benchmarkfcns.multiobjective.wfg4

benchmarkfcns.multiobjective.wfg4(x: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous'], num_objectives: SupportsInt | SupportsIndex = 3, k: SupportsInt | SupportsIndex = 4) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]']

Computes the value of the WFG4 multi-objective benchmark function. SCORES = multiobjective.wfg4(X, num_objectives, k) computes the value of the WFG4 function at point X. multiobjective.wfg4 accepts a matrix of size M-by-N and returns a matrix SCORES of size M-by-K where K is the number of objectives. Properties:

  • Domain: x_i in [0, 2i]

  • Shape: concave

Mathematical Definition

Visualization

wfg4 landscape