The Uncertainty Associated with a Type-2 Fuzzy Set

Abstract

Type-2 fuzzy sets offer the opportunity to capture higher orders of uncertainty. However, researchers have not explored fully the nature of this uncertainty and how it can be quantified. In this paper we place type-2 fuzzy sets in the context of logic and model them, for the first time, as a collection of meta statements. The paper provides a full discussion on this new perspective. We also propose new approaches to measuring the uncertainty represented by a type-2 fuzzy set.