Computation of Support and Confidence for Interval-Valued Fuzzy Association Rules

Abstract

The aim of this paper is to provide an algorithm for the computation of support and confidence of the association rules on interval-valued fuzzy sets. Each element of the interval-valued fuzzy set has a membership degree defined as an interval. In other words, the membership intervals may be interpreted as partial knowledge when the precise value is not known. The computations of the support and the confidence are discussed with respect to the three most common triangular norms (minimum, product and Łukasiewicz), which act as conjunction in support and confidence definitions.

Keywords

• Interval-valued data
• Fuzzy association rules
• Support
• Confidence
• Algorithm