Necessary and sufficient conditions on RIO-based fuzzy systems are universal fuzzy approximators

Abstract

Universal fuzzy approximators can be used in a practical fuzzy system. We introduce the rule-intersection operator, and list 23 rule-intersection operators. A kind of rule-intersection-operator-based fuzzy systems is set up. It is turned out that the rule-intersection-operator-based fuzzy systems are universal fuzzy approximators. The necessary condition and the sufficient condition are respectively investigated on which the general rule-intersection-operator-based fuzzy systems are universal fuzzy approximators.