Reconstruction of additive generators from partial derivatives of continuous Archimedean t-norms

Autoři: Milan Petrík
Rok vydání: 2010
Typ publikace: Konferenční příspěvek (mezinárodní konf.)
Periodikum: Proceedings of the 40th IEEE International Symposium on Multple-valued logic
Projekty: Matematická fuzzy logika v informatice
Bibliografická citace: NAVARA, M., PETRÍK, Milan, SARKOCI, P. Reconstruction of additive generators from partial derivatives of continuous Archimedean t-norms. In: Proceedings of the 40th IEEE International Symposium on Multple-valued logic. Los Alamitos: IEEE Computer Society, 2010, S. 241-244. ISBN 978-0-7695-4024-5. ISSN 0195-623X
Dostupné z: doi:10.1109/ISMVL.2010.52
DOI: 10.1109/ISMVL.2010.52
ID: 358541

Abstrakt

The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive generator. An explicit formula for the additive generator is obtained. Application of the result is demonstrated on the problem of convex combinations of strict triangular norms.