You can check that with correlation between your objectives. If the correlation is 1, you know they follow the same pattern (if obj 1 improves obj b improves as well). You can also consider to plot the Pareto frontier every iteration to see how your solutions converge. If in every iteration your Pareto frontier consists of a single solution that converges to the final best solution that is also a single solution you probably have very correlated objectives.

Hello Sofia,

It is indeed possible that for some instances of your problem, the objectives are not conflicting. For example, in a shortest path problem, the path with the shortest distance may also be the fastest in terms of travel time, resulting in no trade-off between the objectives.

However, the lack of a diverse Pareto front in some instances does not always imply non-conflicting objectives. It could also be due to factors such as:

If you describe your problem, we can help you more easily and as Roy already stated, you can verify whether your objectives are conflicting by calculating the correlation coefficient.

There was a similar question already asked here:

https://www.researchgate.net/post/Is_it_possible_to_have_two_objective_functions_conflicting_as_well_as_non-conflicting

I hope this helps!