Associativity of Triangular Norms in Light of Web Geometry

Authors: Milan Petrík, P. Sarkoci
Publication year: 2009
Publication type: Konferenční příspěvek (mezinárodní konf.)
Periodical: IFSA - EUSFLAT 2009
Projects: Logical foundations of semantics
Bibliographic citation: PETRÍK, Milan, SARKOCI, P. Associativity of Triangular Norms in Light of Web Geometry. In: CARVALHO, J.P., DUBOIS, D., KAYMAK, U., SOUSA, J.M.C., eds. IFSA - EUSFLAT 2009. Granada: EUSFLAT, 2009, S. 595-599. ISBN 978-989-95079-6-8.
ID: 328782

Abstract

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.