We have developed a participative art-science-society approach (MIMI, Models IMaginaires Uncertainties) aiming at sharing representations of marine socio-ecosystems incorporating the notions of imagination and uncertainty. This data project is dedicated to the second workshop of the MIMI project (https://projet-mimi.fr/). This workshop aimed at illustrating how to choose a fishing regulation based on scenarios simulated by ISIS-Fish with uncertainty. Beyong the simulations it focused on the characterisation and representation of uncertainties in the model's inputs  (parameters) and outputs (varaibles) and their manipulation to help choose a scenario. The workshop resulted in the production of an educational booklet presenting the approach and tools that can be transferred to other projects. The data project includes 1) the ISIS-Fish database of a caricature of the nephrops fishery in the Bay of Biscay, 2) the java rules required to run 3 scenarios 3)  isis-fish simulations plan to run the uncertainty analysis (using the sensitivity UI of ISIS-Fish) for each scenario 4) csv files of initial abundances 5) R script files transforming ISIS-Fish export files in Rdata to support a shiny application to explore scenarios. All the data are reproductible using isis-fish-4.4.8.0 (isis-fish.org) and R 4.3.2.