Transfer-stable aggregation functions on finite lattices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603601" target="_blank" >RIV/61989592:15310/20:73603601 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0020025520301262" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025520301262</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ins.2020.02.043" target="_blank" >10.1016/j.ins.2020.02.043</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Transfer-stable aggregation functions on finite lattices

Popis výsledku v původním jazyce

The paper by Z. Kurač, 2019 deals with a new property, the so-called transfer-stability, characterizing the arithmetic mean. With this property, it is possible to define special forms of arithmetic mean on finite chains. The idempotence property was required for this definition. In this paper, we neglect this necessity and deal only with transfer-stable aggregation functions. Thanks to this fact, it is possible to define these aggregation functions on any finite lattice (hereinafter “lattice”) and not only on finite chains. Transfer-stable aggregation functions can be defined on any finite lattice. Nevertheless, there is a subclass of finite lattices, the so-called transfer-stable lattices, where the behavior of the transfer-stable aggregation functions is simply described because the transfer-stability classes are linearly ordered. Therefore, the main goal of this paper is characterization of these transfer-stable lattices. The second half of the paper deals with some useful properties associated with the lattice of all k-ary transfer-stable aggregation functions.

Název v anglickém jazyce

Transfer-stable aggregation functions on finite lattices

Popis výsledku anglicky

The paper by Z. Kurač, 2019 deals with a new property, the so-called transfer-stability, characterizing the arithmetic mean. With this property, it is possible to define special forms of arithmetic mean on finite chains. The idempotence property was required for this definition. In this paper, we neglect this necessity and deal only with transfer-stable aggregation functions. Thanks to this fact, it is possible to define these aggregation functions on any finite lattice (hereinafter “lattice”) and not only on finite chains. Transfer-stable aggregation functions can be defined on any finite lattice. Nevertheless, there is a subclass of finite lattices, the so-called transfer-stable lattices, where the behavior of the transfer-stable aggregation functions is simply described because the transfer-stability classes are linearly ordered. Therefore, the main goal of this paper is characterization of these transfer-stable lattices. The second half of the paper deals with some useful properties associated with the lattice of all k-ary transfer-stable aggregation functions.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/GA18-06915S" target="_blank" >GA18-06915S: Nové přístupy k agregačním operátorům v analýze a zpracování dat</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

INFORMATION SCIENCES

ISSN

0020-0255

e-ISSN

—

Svazek periodika

521

Číslo periodika v rámci svazku

JUN

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

88-106

Kód UT WoS článku

000527015900007

EID výsledku v databázi Scopus

2-s2.0-85079842909