Description

Builds and returns the two-objective ZDT2 test problem. The function is nonconvex and resembles the ZDT1 function. For m objective it is defined as follows

f(\mathbf{x}) = ≤ft(f_1(\mathbf{x}_1), f_2(\mathbf{x})\right)

with

f_1(\mathbf{x}_1) = \mathbf{x}_1, f_2(\mathbf{x}) = g(\mathbf{x}) h(f_1(\mathbf{x}_1), g(\mathbf{x}))

where

g(\mathbf{x}) = 1 + \frac{9}{m - 1} ∑_{i = 2}^m \mathbf{x}_i, h(f_1, g) = 1 - ≤ft(\frac{f_1}{g}\right)^2

and \mathbf{x}_i \in [0,1], i = 1, …, m

Usage

Arguments

Value

[smoof_multi_objective_function]

References

E. Zitzler, K. Deb, and L. Thiele. Comparison of Multiobjective Evolutionary Algorithms: Empirical Results. Evolutionary Computation, 8(2):173-195, 2000