Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Tomonoid extensions: the key for the construction of t-norms

Authors
Thomas Vetterlein
Corresponding Author
Thomas Vetterlein
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.7How to use a DOI?
Keywords
Triangular norms totally ordered monoids extensions of tomonoids
Abstract
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.
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Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.7How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

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  - 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  -