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Module 17: Many-Objective & Decomposition Methods - Beyond Three Objectives

NSGA-II struggles when objectives exceed 3 - crowding distance breaks down in high dimensions. NSGA-III uses reference points, MOEA/D decomposes the problem, and indicator-based methods use hypervolume. This is the cutting edge of multi-objective optimization.

Learning Objectives​

  1. Understand why many-objective optimization is harder
  2. Implement MOEA/D with Tchebycheff decomposition
  3. Understand NSGA-III and reference point generation
  4. Know indicator-based methods (SMS-EMOA, HypE)
  5. Evaluate using IGD, hypervolume, and epsilon-indicator metrics

Concept Explanation​

Coming soon.

Code Examples​

Coming soon.

Exercises​

Coming soon.

Milestone Checklist​

  • Implemented MOEA/D
  • Understand NSGA-III reference points
  • Can evaluate MO performance with proper metrics
  • Know when to use decomposition vs dominance-based approaches

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