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
\[f_m(\mathbf{x}) = x_M + 2m \cdot h_m(x_1, \dots, x_{M-1})\]
text{ where } h_{1 dots M-1} text{ are concave}.
Visualization
No visualization available for this function.