@InProceedings{NavaraPetrikSarkoci:ISMVL10, IS = { zkontrolovano 04 Feb 2011 }, UPDATE = { 2011-01-14 }, author = {Navara, Mirko and Petr{\'\i}k, Milan and Sarkoci, Peter}, title = {Reconstruction of additive generators from partial derivatives of continuous {A}rchimedean t-norms}, year = {2010}, pages = {241--244}, booktitle = {ISMVL10: 40th IEEE International Symposium on Multiple-Valued Logic}, publisher = {IEEE Computer Society}, address = {Los Alamitos, USA}, isbn = {978-0-7695-4024-5}, issn = {0195-623X}, book_pages = {340}, month = {May}, day = {26--28}, venue = {Barcelona, Spain}, organization ={IEEE}, annote = {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.}, keywords = {continuous Archimedeam triangular norm, additive generator, reconstruction, fuzzy logic, many-valued logic, conjunction}, authorship = {34-33-33}, note = {CD-ROM}, project = {MSM 6840770038}, psurl = {[PDF] }, www = {http://www.iiia.csic.es/conferences/ismvl2010/}, }