Construction of uninorms on bounded lattices
Kybernetika, Tome 53 (2017) no. 3, pp. 394-417
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
In this paper, we propose the general methods, yielding uninorms on the bounded lattice $(L,\leq ,0,1)$, with some additional constraints on $e\in L\backslash \{0,1\}$ for a fixed neutral element $e\in L\backslash \{0,1\}$ based on underlying an arbitrary triangular norm $T_{e}$ on $[0,e]$ and an arbitrary triangular conorm $S_{e}$ on $[e,1]$. And, some illustrative examples are added for clarity.
In this paper, we propose the general methods, yielding uninorms on the bounded lattice $(L,\leq ,0,1)$, with some additional constraints on $e\in L\backslash \{0,1\}$ for a fixed neutral element $e\in L\backslash \{0,1\}$ based on underlying an arbitrary triangular norm $T_{e}$ on $[0,e]$ and an arbitrary triangular conorm $S_{e}$ on $[e,1]$. And, some illustrative examples are added for clarity.
DOI :
10.14736/kyb-2017-3-0394
Classification :
03B52, 03E72, 06B20
Keywords: bounded lattice; triangular norm; triangular conorm; uninorms
Keywords: bounded lattice; triangular norm; triangular conorm; uninorms
@article{10_14736_kyb_2017_3_0394,
author = {\c{C}ayl{\i}, G\"ul Deniz and Kara\c{c}al, Funda},
title = {Construction of uninorms on bounded lattices},
journal = {Kybernetika},
pages = {394--417},
year = {2017},
volume = {53},
number = {3},
doi = {10.14736/kyb-2017-3-0394},
mrnumber = {3684677},
zbl = {06819615},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-3-0394/}
}
TY - JOUR AU - Çaylı, Gül Deniz AU - Karaçal, Funda TI - Construction of uninorms on bounded lattices JO - Kybernetika PY - 2017 SP - 394 EP - 417 VL - 53 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2017-3-0394/ DO - 10.14736/kyb-2017-3-0394 LA - en ID - 10_14736_kyb_2017_3_0394 ER -
Çaylı, Gül Deniz; Karaçal, Funda. Construction of uninorms on bounded lattices. Kybernetika, Tome 53 (2017) no. 3, pp. 394-417. doi: 10.14736/kyb-2017-3-0394
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