Další formáty:
BibTeX
LaTeX
RIS
@inproceedings{1721176,
author = {Dvořák, Antonín and Holčapek, Michal and Paseka, Jan},
address = {New York},
booktitle = {2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)},
doi = {http://dx.doi.org/10.1109/FUZZ48607.2020.9177618},
keywords = {t-norms; t-conorms; bounded posets; ordinal sum},
howpublished = {tištěná verze "print"},
language = {eng},
location = {New York},
isbn = {978-1-7281-6932-3},
pages = {1-8},
publisher = {IEEE},
title = {On ordinal sums of t-norms and t-conorms on bounded posets},
url = {https://ieeexplore.ieee.org/document/9177618},
year = {2020}
}
TY - JOUR
ID - 1721176
AU - Dvořák, Antonín - Holčapek, Michal - Paseka, Jan
PY - 2020
TI - On ordinal sums of t-norms and t-conorms on bounded posets
PB - IEEE
CY - New York
SN - 9781728169323
KW - t-norms
KW - t-conorms
KW - bounded posets
KW - ordinal sum
UR - https://ieeexplore.ieee.org/document/9177618
L2 - https://ieeexplore.ieee.org/document/9177618
N2 - This paper continues and generalizes the line of research on ordinal sum of t-norms and t-conorms on bounded lattices. We introduce a new ordinal sum construction on bounded posets based on interior and closure operators. Our proposed method provides a simple tool to introduce new classes of t-norms and t-conorms. Several necessary and sufficient conditions are presented for ensuring whether our generalized ordinal sum on a bounded posets of arbitrary t-norms is, in fact, a t-norm. We show that in this general setting the existence of our ordinal sum for t-norms requires that the respective interior operators are t-norm preserving.
ER -
DVOŘÁK, Antonín, Michal HOLČAPEK a Jan PASEKA. On ordinal sums of t-norms and t-conorms on bounded posets. In \textit{2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)}. New York: IEEE, 2020, s.~1-8. ISBN~978-1-7281-6932-3. Dostupné z: https://dx.doi.org/10.1109/FUZZ48607.2020.9177618.
|
