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

Authors: M. Navara, Milan Petrík, P. Sarkoci
Publication year: 2010
Publication type: Konferenční příspěvek (mezinárodní konf.)
Periodical: Proceedings of the 40th IEEE International Symposium on Multple-valued logic
Projects: Mathematical Fuzzy Logic in Computer Science
Bibliographic citation: 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

Abstract

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.