Remarks to Logical Aspects of Measures of Interestingness of Association Rules

Relations of logical calculi of association rules to measures of interestingness of association rules are studied. Logical calculi of association rules, 4ft-quantifiers and important classes of association rules are briefly introduced. New 4ft-quantifiers and association rules are defined by applications of suitable thresholds to several known measures of interestingness. It is proved that some of new 4ft-quantifiers constitute rules that belong to known classes of rules. It is shown that new interesting classes of rules can be defined on the basis of additional new 4ft-quantifiers. Some additional results concerning new classes of rules are proved. Open problems are introduced.