| Name | Description | Type | Package | Framework |
| AdaptiveMetropolis | The adaptive metropolis (AM) operator. | Class | org.moeaframework.core.operator | MOEA |
| BitFlip | Bit flip mutation operator. | Class | org.moeaframework.core.operator | MOEA |
| DifferentialEvolution | Differential evolution (DE) variation operator. | Class | org.moeaframework.core.operator | MOEA |
| DifferentialEvolutionSelection | Selection operator to be used in conjunction with the DifferentialEvolution operator. | Class | org.moeaframework.core.operator | MOEA |
| GrammarCrossover | Single-point crossover for grammars. | Class | org.moeaframework.core.operator | MOEA |
| GrammarMutation | Uniform mutation for grammars. | Class | org.moeaframework.core.operator | MOEA |
| HUX | Half-uniform crossover (HUX) operator. | Class | org.moeaframework.core.operator | MOEA |
| Insertion | Insertion mutation operator. | Class | org.moeaframework.core.operator | MOEA |
| PCX | Parent-centric crossover (PCX) operator. | Class | org.moeaframework.core.operator | MOEA |
| PM | Polynomial mutation (PM) operator. | Class | org.moeaframework.core.operator | MOEA |
| PMX | Partially mapped crossover (PMX) operator. | Class | org.moeaframework.core.operator | MOEA |
| PointMutation | Mutates a program by randomly selecting nodes in the expression tree and replacing the node with a new, compatible, randomly-selected node. | Class | org.moeaframework.core.operator | MOEA |
| SBX | Simulated binary crossover (SBX) operator. | Class | org.moeaframework.core.operator | MOEA |
| SPX | Simplex crossover (SPX) operator. | Class | org.moeaframework.core.operator | MOEA |
| SubtreeCrossover | Exchanges a randomly-selected subtree from one program with a compatible, randomly-selected subtree from another program. | Class | org.moeaframework.core.operator | MOEA |
| Swap | Swap mutation operator. | Class | org.moeaframework.core.operator | MOEA |
| UM | Uniform mutation (UM) operator. | Class | org.moeaframework.core.operator | MOEA |
| UNDX | Unimodal Normal Distribution Crossover (UNDX) operator. | Class | org.moeaframework.core.operator | MOEA |