benchmarkfcns.multiobjective.maf8

benchmarkfcns.multiobjective.maf8(x: Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]', 'flags.c_contiguous'], num_objectives: SupportsInt | SupportsIndex = 3) → Annotated[numpy.typing.NDArray[numpy.float64], '[m, n]']

Computes the value of the MaF8 (Point-to-Line) multi-objective benchmark function.

Mathematical Definition

\[\begin{aligned}\]

f_i(textbf{x}) &= sqrt{(x_1 - p_{i,1})^2 + (x_2 - p_{i,2})^2} \ p_{i,1} &= sin(frac{2pi(i-1)}{M}), quad p_{i,2} = cos(frac{2pi(i-1)}{M}) end{aligned}

Visualization

No visualization available for this function.