Tomonoid extensions: the key for the construction of t-norms
- https://doi.org/10.2991/eusflat.2013.7How to use a DOI?
- Triangular norms totally ordered monoids extensions of tomonoids
Triangular norms, or t-norms for short, play an important role for the semantics of fuzzy logics. Although an enormous number of examples and a remarkable number of construction methods for this kind of operation has been established, a uniform approach is still outstanding. This paper is devoted to a specific algebraic-geometrical framework within which t-norms, up to isomorphism, can be described systematically. By means of a detailed review of an example case, we show how the approach can be applied to the construction of left-continuous t-norms in a straightforward way.
- © 2013, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Thomas Vetterlein PY - 2013/08 DA - 2013/08 TI - Tomonoid extensions: the key for the construction of t-norms BT - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 48 EP - 55 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.7 DO - https://doi.org/10.2991/eusflat.2013.7 ID - Vetterlein2013/08 ER -