The addition of fuzzy intervals based on a triangular norm T is studied. It is shown that the addition based on a t-norm T weaker than the Lukasiewicz t-norm TL acts on linear fuzzy intervals just as the TL-based addition. Some examples are given.
@article{urn:eudml:doc:39120,
title = {Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.},
journal = {Mathware and Soft Computing},
volume = {5},
year = {1998},
pages = {91-98},
zbl = {0934.03064},
mrnumber = {MR1632755},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39120}
}
Kolesárová, Anna. Triangular norm-based addition preserving linearity of T-sums of linear fuzzy intervals.. Mathware and Soft Computing, Tome 5 (1998) pp. 91-98. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39120/