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A scalarization function, also known as a scalarizing function, is a mathematical tool used in multi-objective optimization to transform a vector of objective functions into a single scalar value. This process is essential for converting a multi-objective problem into a single-objective problem, which can then be solved using traditional optimization techniques.
Scalarization functions are typically used in methods such as the weighted sum approach, the ε-constraint method,
The weighted sum approach, for example, involves assigning a weight to each objective function and then summing
The ε-constraint method, on the other hand, involves optimizing one objective while treating the others as constraints.
The Chebyshev scalarization method aims to minimize the maximum deviation from the ideal point, providing a
In summary, scalarization functions play a crucial role in multi-objective optimization by enabling the transformation of