From Determinism and Probability to Chaos: Chaotic Evolution towards Philosophy and Methodology of Chaotic Optimization

Table 1

Test functions (Uni = unimodal, Multi = multimodal, Sh = shifted, Rt = rotated, GB = global on Bounds, HC = hybrid composition, and NM = number matrix).

Number	Type	Characteristic	Bounds	Optimum fitness
	Uni	Sh sphere		−450
		Sh Schwefel 1.2		−450
		Sh Rt Elliptic		−450
		with noise		−450
		Schwefel 2.6 GB		−310
	Multi	Sh Rosenbrock		390
		Sh Rt Griewank		−180
		Sh Rt Ackley GB		−140
		Sh Rastrigin		−330
		Sh Rt Rastrigin		−330
		Sh Rt Weierstrass		90
		Schwefel 2.13		−460
		Sh expanded F8F2		−130
		Sh Rt Scaffer F6		−300
	Hybrid	HC function		120
		Rt HC function 1		120
		with noise		120
		Rt HC function 2		10
		with basin		10
		with GB		10
		Rt HC function 3		360
		with NM		360
		NC Rt		360
		Rt HC function 4		260
		without bounds		260