X-μ fuzzy association rule method

Abstract

Association rule mining theory, and practice, requires the ability to calculate the cardinalities of subsets. In association rule mining on fuzzy sets, this is also the case. However, there are multiple options for calculating cardinalities due to the nature of fuzzy sets. In this paper we introduce the “X-μ Fuzzy Association Rule method” of calculation, a methodology for use within fuzzy association rule mining. This method uses the X-μ representation of fuzzy sets and its respective cardinality calculation, which retains the fuzzy nature of fuzzy set cardinality through the full process of association rule processing.