We study here the behavior of the t-norms at the point (1/2, 1/2). We indicate why this point can be considered as significant in the specification of t-norms. Then, we suggest that the image of this point can be used to classify the t-norms. We consider some usual examples. We also study the case of parameterized t-norms. Finally using the results of this study, we propose a uniform method of computing the parameters. This method allows not only having the same parameter-scale for all the families, but also giving an intuitional sense to the parameters.
@article{urn:eudml:doc:39182,
title = {Specifying t-norms based on the value of T (1/2, 1/2).},
journal = {Mathware and Soft Computing},
volume = {7},
year = {2000},
pages = {77-87},
zbl = {0966.03023},
mrnumber = {MR1791442},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39182}
}
Detyniecki, Marcin; Yager, Ronald R.; Bouchon-Meunier, Bernadette. Specifying t-norms based on the value of T (1/2, 1/2).. Mathware and Soft Computing, Tome 7 (2000) pp. 77-87. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39182/