i am not sure about your understanding of "data pertubation", but if you are using Matlab, the ensemble methods typically provide a method named predictorImportance, which should quantify the importance of the features for/in the ensemble.
Could you be more specific about your problem so that we can provide a better answer?
If you are dealing with regression/classification caret package in R is an excellent package.
If you are looking for inference based feature selection, i.e. using data permutation, check out the ranger package in R for variable selection using random forest.