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Many real-world problems involve balancing several conflicting goals, and what counts as a “good” solution depends on what a decision maker actually prefers. In this work, we introduce a new way to evaluate optimization results using two simple preference levels: what is considered fully satisfactory (aspiration) and what is considered unacceptable (reservation). Based on these, we propose indicators that measure how well solutions match these preferences, without conflicting with the usual way solutions are compared in optimization.

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This page is a summary of: D-PHI: Desirability-Based Hypervolume Indicator for Interactive Multiobjective Optimization Using Aspiration and Reservation Levels as Preferences, ACM Transactions on Evolutionary Learning and Optimization, January 2026, ACM (Association for Computing Machinery),
DOI: 10.1145/3794854.
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