Adjusting the Core and/or the Support of a Fuzzy Set - A New Approach to Fuzzy Modifiers

Fuzzy modifiers are unary operators on fuzzy sets aiming at transforming a fuzzy set into another. In this paper, we propose a new approach to construct representation for fuzzy modifiers. The approach relies on a tolerance relation modeled by a suitable parameterized proximity relation. The newly introduced fuzzy modifiers are not only endowed with clear semantics, but they result in significant changes on the constituent parts of a fuzzy set. We also show how this class of fuzzy modifiers can be applied for modeling weakening and intensifying linguistic hedges.