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NSGA-II

Elitist-preserving genetic algorithm using a fast non-dominated sort and a crowding distance to maintain solution diversity on the Pareto front.

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ε-constraint approach

Method that transforms a multi-objective problem into single-objective optimization problems by optimizing a primary objective while constraining the others with ε thresholds.

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Multi-objective trade-off

Inherent competition between conflicting objectives where improving one objective necessarily leads to the degradation of at least one other objective.

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Solution archiving

Technique for storing and updating a set of non-dominated solutions throughout the optimization process to preserve the best found solutions.

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Multi-objective elitism

Strategy that preserves the best solutions between generations to guarantee monotonic convergence towards the optimal Pareto front.

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Indicator-based optimization

Paradigm that directly uses performance indicators, such as hypervolume, as a fitness function to guide the search towards high-quality solution sets.

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Multi-objective scalability

The ability of an algorithm to maintain its performance as the number of objectives increases, often degraded by the curse of dimensionality.

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Convergence and diversity

Dual criteria assessing proximity to the optimal Pareto front (convergence) and the uniform distribution of solutions on this front (diversity).

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Multi-objective coevolution

Approach where multiple populations evolve simultaneously, each specialized in different regions of the Pareto front or different subsets of objectives.

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Tchebychev decomposition

Weighted decomposition method transforming objectives into a scalar function using the Tchebychev norm to ensure solutions on convex and non-convex fronts.

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Reference Point Approach

Interactive technique where the decision maker specifies reference points to guide the search toward specific regions of interest on the Pareto front.

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