The CHADS2 scoring system is a clinical prediction rule used to assess the risk of stroke in patients with non-rheumatic atrial fibrillation. It assigns points based on various risk factors, with a higher total score indicating greater risk of stroke. It is used to determine if anticoagulation therapy is required. The HAS-BLED scoring system evaluates bleeding risk for patients on oral anticoagulants for atrial fibrillation by assigning points for different risk factors, with a score of 3 or more indicating increased risk of major bleeding within one year.