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Reconstruction of additive generators from partial derivatives of continuous Archimedean t-norms
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SYSNO ASEP 0358541 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Reconstruction of additive generators from partial derivatives of continuous Archimedean t-norms Author(s) Navara, M. (CZ)
Petrík, Milan (UIVT-O) RID, SAI, ORCID
Sarkoci, P. (SK)Source Title Proceedings of the 40th IEEE International Symposium on Multple-valued logic. - Los Alamitos : IEEE Computer Society, 2010 - ISSN 0195-623X - ISBN 978-0-7695-4024-5 Pages s. 241-244 Number of pages 4 s. Action ISMVL 2010. IEEE International Symposium on Multiple-Valued Logic /40./ Event date 26.05.2010-28.05.2010 VEvent location Barcelona Country ES - Spain Event type WRD Language eng - English Country US - United States Keywords continuous Archimedean triangular norm ; additive generator ; reconstruction ; fuzzy logic ; many-valued logic ; conjunction Subject RIV BA - General Mathematics R&D Projects GAP202/10/1826 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000287530100043 EID SCOPUS 77955337494 DOI 10.1109/ISMVL.2010.52 Annotation 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. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2012
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