On ordinal sums of partially ordered monoids: A unified
approach to ordinal sum constructions of t-norms, t-conorms and
uninorms

J 2022

On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms

DVOŘÁK, Antonín; Michal HOLČAPEK a Jan PASEKA

Základní údaje

Originální název

On ordinal sums of partially ordered monoids: A unified approach to ordinal sum constructions of t-norms, t-conorms and uninorms

Autoři

DVOŘÁK, Antonín; Michal HOLČAPEK a Jan PASEKA (203 Česká republika, garant, domácí)

Vydání

Fuzzy Sets and Systems, Amsterdam, Elsevier, 2022, 0165-0114

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10201 Computer sciences, information science, bioinformatics

Stát vydavatele

Nizozemské království

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 3.900

Kód RIV

RIV/00216224:14310/22:00129337

Organizační jednotka

Přírodovědecká fakulta

DOI

https://doi.org/10.1016/j.fss.2021.04.008

UT WoS

000862831200002

EID Scopus

2-s2.0-85104931723

Klíčová slova anglicky

Partially ordered monoid; Uninorms; t-norms; t-conorms; Posets; Ordinal sum

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 13. 1. 2023 10:36, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

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).

Návaznosti

GA18-06915S, projekt VaV

Název: Nové přístupy k agregačním operátorům v analýze a zpracování dat

Investor: Grantová agentura ČR, Nové přístupy k agregačním operátorům v analýze a zpracování dat

Citovat

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://doi.org/10.1016/j.fss.2021.04.008.

@article{2246023,
   author = {Dvořák, Antonín and Holčapek, Michal and Paseka, Jan},
   article_location = {Amsterdam},
   article_number = {October},
   doi = {https://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://doi.org/10.1016/j.fss.2021.04.008.

Přehled o publikaci