@InProceedings{NavaraPetrik:IPMU2008, IS = { zkontrolovano 16 Jan 2009 }, UPDATE = { 2008-09-05 }, author = { Navara, Mirko and Petr{\'\i}k, Milan }, title = { Two methods of reconstruction of generators of continuous t-norms }, year = { 2008 }, pages = { 1016--1021 }, booktitle = { IPMU 2008: Information Processing and Management of Uncertainty in Knowledge-Based Systems }, editor = { Magdalena, L. and Ojeda-Aciego, M. and Verdegay, J.~L. }, publisher = { Department of Applied Mathematics, School of Computer Science, University of M{\'a}laga }, address = { M{\'a}laga, Spain }, isbn = { 978-84-612-3061-7 }, book_pages = { 1800 }, month = { June }, day = { 22--27 }, venue = { Torremolinos (M{\'a}laga), Spain }, organization = { Department of Applied Mathematics, University of M{\'a}laga }, annote = { We present two methods which allow to reconstruct the multiplicative and the additive generator of a continuous Archimedean triangular norm from its partial derivatives. The methods can be used for a strict triangular norm whose multiplicative generator has a non-zero derivative at~$0$, resp. for a continuous Archimedean triangular norm whose additive generator has a derivative continuous at [0,1] and non-zero at 1. }, keywords = { Triangular norm, Archimedean triangular norm, multiplicative generator, additive generator, fuzzy logic, fuzzy conjunction, convex combination }, authorship = { 50-50 }, note = { CD-ROM }, project = { GACR 201/07/1136 }, www = { http://www.gimac.uma.es/ipmu08 }, }