benchmarkfcns.multiobjective.mop2

benchmarkfcns.multiobjective.mop2(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 MOP2 (Fonseca-Fleming alias) multi-objective benchmark function. SCORES = multiobjective.mop2(X) computes the value of the MOP2 function at point X. multiobjective.mop2 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}) &= 1 - exp(-sum_{i=1}^n (x_i - frac{1}{sqrt{n}})^2) \ f_2(textbf{x}) &= 1 - exp(-sum_{i=1}^n (x_i + frac{1}{sqrt{n}})^2) end{aligned}

Visualization

No visualization available for this function.