Abstract
The convexification of a noninferior frontier can be achieved in an appropriate equivalent objective space for general nonconvex multiobjective optimization problems. Specifically, this paper proves that taking the exponentials of the objective functions can act as a convexification scheme. This convexification scheme further leads to the exponential generating method that guarantees the identification of the entire set of noninferior solutions.
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Li, D., Biswal, M.P. Exponential Transformation in Convexifying a Noninferior Frontier and Exponential Generating Method. Journal of Optimization Theory and Applications 99, 183–199 (1998). https://doi.org/10.1023/A:1021708412776
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DOI: https://doi.org/10.1023/A:1021708412776