“…Lastly, the remaining utility in each entry of NUL, total remaining utility, and total utility of each item are calculated (as shown in Figure 1 15 , 8,11,39,9 ). Since regularity is greater than (itemset ' ' does not regularly occur in the database), ' ' should be removed out of consideration (based on the downward closure property of regularity [3]). Next, item ' ' is merged with item ' ' and is intersected with 1,8,65,0 , 3,4,30,0 , 4,5,5,0 , 5, 1,12, 0 , 8,4 Since regularity is smaller than and is greater than , it can be concluded that itemset ' ' and its supersets are potentially HUIRs.…”