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

DOI

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.

Copyright

© 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/).

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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  - 10.2991/eusflat.2013.7
ID  - Vetterlein2013/08
ER  -