Decision-theoretic rough sets is a way of trying to figure out what parts of a set of things are important. Let's say you have a box full of toys. The decision-theoretic rough sets way of looking at this is like looking at the toys to figure out which ones are the most important, which ones you need to keep, and which ones you don't need. To do this, you take a look at each of the toys, one by one. You look at the way each toy works and its features. Then, you decide which toys are the most important and keep those, and throw out the others. Decision-theoretic rough sets can be used to pick out the most important parts of other kinds of sets too, not just boxes of toys. It's a way of seeing which pieces of a set are the most important, which ones you need to keep, and which ones you don't need.