A Novel Multiobjective Quantum-Behaved Particle Swarm Optimization Based on the Ring Model

Table 1

Description of the test functions.

Code

Objective functions

Feature

Objectives

WFG1

Mixed,; convex/concave,; Unimodal,; separable

2

WFG2

and are as those from WFG1,

Convex,; disconnected,; Unimodal,; multimodal,; nonseparable

2

WFG3

Liner,; degenerate,; unimodal,; nonseparable

2

are as those from WFG2

WFG4

Concave,; multimodal,; separable

2

WFG5

and are as those from WFG4,

Concave,; deceptive,; separable

2

WFG6

are as those from WFG4, as those from WFG1,

Concave,; unimodal,; nonseparable

2

WFG7

are as those from WFG4, as from WFG1, as from WFG4,

Concave,; unimodal,; separable

2

WFG8

are as those from WFG4, as from WFG1, as from WFG4,

Concave,; unimodal,; nonseparable

2

WFG9

are as those from WFG4,   as from WFG6,

Concave,; multimodal,; deceptive,; nonseparable

2

DTLZ2

Concave,; unimodal

3

DTLZ4

and are both the same with DTLZ2, besides is used to replace

Concave,; nonuniform

3

DTLZ7

Disconnected,; unimodal,; multimodal

3