Web-geometric Approach to Totally Ordered Monoids

Autoři: Milan Petrík
Rok vydání: 2010
Typ publikace: Abstrakt
Periodikum: Lattice-Valued Logic and its Applications
Projekty: Matematická fuzzy logika v informatice
Bibliografická citace: PETRÍK, Milan, SARKOCI, P. Web-geometric Approach to Totally Ordered Monoids. In: CINTULA, P., KLEMENT, E.P., STOUT, L.N., eds. Lattice-Valued Logic and its Applications. Linz: Johannes Kepler Universität, 2010, S. 137-141.
ID: 338889

Abstrakt

The semantical part of the monoidal t-norm based logic (MTL) is represented by MTL-algebras. MTL-algebras are lattice-based, however, it is known that each one is a subdirect product of MTL-chains. Therefore, in order to investigate their monoidal operations, it is usually sufficient to focus on integral tomonoids. In this paper, we intend to investigate tomonoids, more specifically, we intend to give a visual interpretation of their associativity.