benchmarkfcns.multiobjective.mop4

benchmarkfcns.multiobjective.mop4(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 MOP4 (Kursawe alias) multi-objective benchmark function. SCORES = multiobjective.mop4(X) computes the value of the MOP4 function at point X. multiobjective.mop4 accepts a matrix of size M-by-N and returns a matrix SCORES of size M-by-2.

Mathematical Definition

\[\begin{aligned}\]

f_1(textbf{x}) &= sum_{i=1}^{n-1} [-10 exp(-0.2 sqrt{x_i^2 + x_{i+1}^2})] \ f_2(textbf{x}) &= sum_{i=1}^n [|x_i|^{0.8} + 5 sin(x_i^3)] end{aligned}

Visualization

No visualization available for this function.