@incollection {van2009fuzzy, title = {A Fuzzy Logic Approach to Non-Scalar Hedges}, booktitle = {Towards Mathematical Philosophy}, series = {Trends in Logic}, year = {2008}, pages = {233-247}, publisher = {Kluwer}, abstract = {

In (Journal of Philosophical Logic, 2: 458–508, 1973), George Lakoff proposes a fuzzy semantics for the non-scalar hedges technically, strictly speaking, and loosely speaking. These hedges are able to modify the meaning of a predicate. However, Lakoff’s proposal is problematic. For example, his semantics only contains interpretations for hedged predicates using semantic information provided by selection functions. What kind of information these functions should provide for non-hedged predicates remains unspecified. This paper presents a solution for this deficit and other problems by means of a generic first-order fuzzy logic FLh . A wide range of fuzzy logics can be used as a basis for FLh . Next to a fully specified semantics, this solution also incorporates a proof theory for reasoning with these hedges. FLh makes use of a special set of selection functions. These functions collect the kind of information a reasoner can retrieve from concepts in his or her memory when interpreting a (non-)hedged predicate. Despite this non-standard element, FLh remains a conservative modification of its underlying fuzzy logic.

}, doi = {10.1007/978-1-4020-9084-4_12}, author = {van der Waart van Gulik, Stephan}, editor = {Makinson, David and Wansing, Heinrich} }