Combining Grammatical Evolution with Modal Interval Analysis: An Application to Solve Problems with Uncertainty

Complex systems are usually affected by various sources of uncertainty, and it is essential to account for mechanisms that ensure the proper management such disturbances. This paper introduces a novel approach solve symbolic regression problems, which combines potential Grammatical Evolution obtain solutions describing search space with context-free grammars, ability Modal Interval Analysis (MIA) handle quantified uncertainty. The presented methodology uses an MIA solver evaluate fitness function, represents method manage uncertainty means interval-based prediction models. first theory establishes basis proposed methodology, follows description system architecture implementation details. Then, we present illustrative application example consists determining outer inner approximations mean velocity water current river stretch. Finally, interpretation obtained results limitations discussed.