Z-Shaped Transfer Functions for Binary Particle Swarm Optimization Algorithm

Table 4

Test functions.

Function	Dim	Rang	Fmin
	5, 8, 10, 30	[−100, 100]	0
	5, 8, 10, 30	[−10, 10]	0
	5, 8, 10, 30	[100, 100]	0
	5, 8, 10, 30	[−30, 30]	0
	5, 8, 10, 30	[−100, 100]	0
	5, 8, 10, 30	[−1.28, 1.28]	0
	5, 8, 10, 30	[−5.12,−5.12]	0
	5, 8, 10, 30	[−32, 32]	0
	5, 8, 10, 30	[−50, 50]	0
[24]:				10	[−5, 5]	360
= Rotated Expanded Scaffer's FF Function
Where FF is Shifted Rosenbrock.
= Rastrigin's Function
= FF4 Function
= Weierstrass Function
= Griewank’s Function
F11 [24]	10	[−5, 5]	360
All settings are the same as F10
for j = 1, 2, …, n
Except
Where a is x’s integral part and b is x’s decimal part.
F12 [24]	10	[−5, 5]	260
= Weierstrass Function
= Rotated Expanded Scaffer's FF Function
Where FF is Shifted Rosenbrock.
= FF4 Function
Where FF is Rastrigin’s Function
= Ackley’s Function
= Rastrigin's Function
= Griewank’s Function
= Noncontinuous Expanded Scaffer’s FF Function
Where FF is Shifted Rosenbrock.
= Noncontinuous Rastrigin's Function
= High Conditioned Elliptic Function
= Sphere Function with Noise in Fitness
, for i = 1, 2, …, n