benchmarkfcns.multiobjective.mop6

benchmarkfcns.multiobjective.mop6(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 MOP6 (ZDT3 alias) multi-objective benchmark function. SCORES = multiobjective.mop6(X) computes the value of the MOP6 function at point X. multiobjective.mop6 accepts a matrix of size M-by-N and returns a matrix SCORES of size M-by-2.

Mathematical Definition

\[\begin{aligned}\]

f_1(x_1) &= x_1 \ f_2(textbf{x}) &= g(textbf{x}) [1 - sqrt{f_1/g} - (f_1/g) sin(10pi f_1)] \ g(textbf{x}) &= 1 + frac{9}{n-1} sum_{i=2}^n x_i end{aligned}

Visualization

No visualization available for this function.