\input zb-basic
\input zb-ioport
\iteman{io-port 05590193}
\itemau{Trillas, Enric}
\itemti{On a model for the meaning of predicates -- a na{\"\i}ve approach to the genesis of fuzzy sets.}
\itemso{Seising, Rudolf (ed.), Views on fuzzy sets and systems from different perspectives. Philosophy and logic, criticisms and applications. Berlin: Springer (ISBN 978-3-540-93801-9/hbk; 978-3-540-93802-6/ebook). Studies in Fuzziness and Soft Computing 243, 175-205 (2009).}
\itemab
This paper offers an elementary approach toward a mathematical modeling process for gradable predicates, particularly for collective nouns over a given universe of discourse. Starting from a basic relationship ``$x$ is less $P$ than $y$", and the assumption that the gradability may be grasped via some preorder among a suitable set $L$ of grades, the author explains a way to determine meanings for such unary predicates. And these meanings become, in a natural way, $L$-valued fuzzy sets. Based upon these ideas, the author discusses as examples linguistic phenomena like synonymity, qualifications as well as modifications of such predicates, antonyms, and constraint predicates. Also, some elementary algebraic properties related with this modeling approach are mentioned.
\itemrv{Siegfried J. Gottwald (Leipzig)}
\itemcc{}
\itemut{graded predicates; meaning representation; natural-language modeling}
\itemli{doi:10.1007/978-3-540-93802-6\_9}
\end