Incomparability with respect to the triangular order
Kybernetika, Tome 52 (2016) no. 1, pp. 15-27
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
In this paper, we define the set of incomparable elements with respect to the triangular order for any t-norm on a bounded lattice. By means of the triangular order, an equivalence relation on the class of t-norms on a bounded lattice is defined and this equivalence is deeply investigated. Finally, we discuss some properties of this equivalence.
In this paper, we define the set of incomparable elements with respect to the triangular order for any t-norm on a bounded lattice. By means of the triangular order, an equivalence relation on the class of t-norms on a bounded lattice is defined and this equivalence is deeply investigated. Finally, we discuss some properties of this equivalence.
DOI :
10.14736/kyb-2016-1-0015
Classification :
03B52, 03E72
Keywords: triangular norm; $T$-partial order; bounded lattice
Keywords: triangular norm; $T$-partial order; bounded lattice
@article{10_14736_kyb_2016_1_0015,
author = {A\c{s}{\i}c{\i}, Emel and Kara\c{c}al, Funda},
title = {Incomparability with respect to the triangular order},
journal = {Kybernetika},
pages = {15--27},
year = {2016},
volume = {52},
number = {1},
doi = {10.14736/kyb-2016-1-0015},
mrnumber = {3482608},
zbl = {06562210},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-1-0015/}
}
TY - JOUR AU - Aşıcı, Emel AU - Karaçal, Funda TI - Incomparability with respect to the triangular order JO - Kybernetika PY - 2016 SP - 15 EP - 27 VL - 52 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2016-1-0015/ DO - 10.14736/kyb-2016-1-0015 LA - en ID - 10_14736_kyb_2016_1_0015 ER -
Aşıcı, Emel; Karaçal, Funda. Incomparability with respect to the triangular order. Kybernetika, Tome 52 (2016) no. 1, pp. 15-27. doi: 10.14736/kyb-2016-1-0015
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