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Associativity of Triangular Norms in Light of Web Geometry
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SYSNO ASEP 0328782 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Associativity of Triangular Norms in Light of Web Geometry Title Asociativita trojúhelníkových norem Author(s) Petrík, Milan (UIVT-O) RID, SAI, ORCID
Sarkoci, P. (AT)Source Title IFSA - EUSFLAT 2009. - Granada : EUSFLAT, 2009 / Carvalho J.P. ; Dubois D. ; Kaymak U. ; Sousa J.M.C. - ISBN 978-989-95079-6-8 Pages s. 595-599 Number of pages 6 s. Publication form CD ROM - CD ROM Action IFSA - EUSFLAT 2009. International Fuzzy Systems Association World Congress 2009, European Society for Fuzzy Logic and Technology Conference 2009 Event date 20.07.2009-24.07.2009 VEvent location Lisabon Country PT - Portugal Event type WRD Language eng - English Country ES - Spain Keywords Archimedean triangular norm ; web geometry ; Reidemeister closure condition Subject RIV BA - General Mathematics R&D Projects GD401/09/H007 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000279170600104 EID SCOPUS 84871872957 Annotation The aim of this paper is to promote web geometry and, especially, the Reidemeister closure condition as a powerful and intuitive tool characterizing associativity of the Archimedean triangular norms. In order to demonstrate its possible applications, we provide the full solution to the problem of convex combinations of nilpotent triangular norms. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2010
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