benchmarkfcns.multiobjective.uf4

benchmarkfcns.multiobjective.uf4(x: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous']) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]']

Computes the value of the CEC 2009 UF4 multi-objective benchmark function. SCORES = multiobjective.uf4(X) computes the value of the UF4 function at point X. multiobjective.uf4 accepts a matrix of size M-by-N and returns a matrix SCORES of size M-by-2. Properties:

  • Recommended domain: x1 in [0, 1], xj in [-2, 2] for j=2..N

  • Pareto front: Concave

Mathematical Definition

Visualization

uf4 landscape