| DVOŘÁK, Antonín, Michal HOLČAPEK a Jan PASEKA. On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms. Fuzzy Sets and Systems. Amsterdam: Elsevier, 2022, roč. 446, October, s. 4-25. ISSN 0165-0114. Dostupné z: https://dx.doi.org/10.1016/j.fss.2021.04.008. |
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@article{2246023,
author = {Dvořák, Antonín and Holčapek, Michal and Paseka, Jan},
article_location = {Amsterdam},
article_number = {October},
doi = {http://dx.doi.org/10.1016/j.fss.2021.04.008},
keywords = {Partially ordered monoid; Uninorms; t-norms; t-conorms; Posets; Ordinal sum},
language = {eng},
issn = {0165-0114},
journal = {Fuzzy Sets and Systems},
title = {On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms},
url = {https://www.sciencedirect.com/science/article/pii/S0165011421001317},
volume = {446},
year = {2022}
}
TY - JOUR
ID - 2246023
AU - Dvořák, Antonín - Holčapek, Michal - Paseka, Jan
PY - 2022
TI - On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms
JF - Fuzzy Sets and Systems
VL - 446
IS - October
SP - 4-25
EP - 4-25
PB - Elsevier
SN - 01650114
KW - Partially ordered monoid
KW - Uninorms
KW - t-norms
KW - t-conorms
KW - Posets
KW - Ordinal sum
UR - https://www.sciencedirect.com/science/article/pii/S0165011421001317
N2 - This paper introduces two fundamental types of ordinal sum constructions for partially ordered monoids that are determined by two specific partial orderings on the disjoint union of the partially ordered monoids. Both ordinal sums of partially ordered monoids are generalized with the help of operators on posets, which combine, in some sense, the properties of interior and closure operators on posets. The proposed approach provides a unified view on several known constructions of ordinal sums of t-norms and t-conorms on posets (lattices) and introduces generalized ordinal sums of uninorms on posets (lattices).
ER -
DVOŘÁK, Antonín, Michal HOLČAPEK a Jan PASEKA. On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms. \textit{Fuzzy Sets and Systems}. Amsterdam: Elsevier, 2022, roč.~446, October, s.~4-25. ISSN~0165-0114. Dostupné z: https://dx.doi.org/10.1016/j.fss.2021.04.008.
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