New transformations of aggregation functions based on monotone systems of functions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603760" target="_blank" >RIV/61989592:15310/20:73603760 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0888613X19304141" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0888613X19304141</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.ijar.2019.12.004" target="_blank" >10.1016/j.ijar.2019.12.004</a>

Jazyk výsledku

angličtina

Název v původním jazyce

New transformations of aggregation functions based on monotone systems of functions

Popis výsledku v původním jazyce

The paper introduces a Generalized-Convex-Sum-Transformation of aggregation functions. It has the form of a transformation of aggregation functions by monotone systems of functions. A special case of the proposed Generalized-Convex-Sum-Transformation is the well-known *-product, also called the Darsow product of copulas. Similarly, our approach covers Choquet integrals with respect to capacities induced by the considered aggregation function. The paper offers basic definitions and some properties of the mentioned transformation. Various examples illustrating the transformation are presented. The paper also gives two alternative transformations of aggregation functions under which the dimension of the transformed aggregation functions is higher than that of the original one. Interestingly, if a copula is transformed, under some conditions put on the monotone systems of functions, the transformed aggregation function is again a copula.

Název v anglickém jazyce

New transformations of aggregation functions based on monotone systems of functions

Popis výsledku anglicky

The paper introduces a Generalized-Convex-Sum-Transformation of aggregation functions. It has the form of a transformation of aggregation functions by monotone systems of functions. A special case of the proposed Generalized-Convex-Sum-Transformation is the well-known *-product, also called the Darsow product of copulas. Similarly, our approach covers Choquet integrals with respect to capacities induced by the considered aggregation function. The paper offers basic definitions and some properties of the mentioned transformation. Various examples illustrating the transformation are presented. The paper also gives two alternative transformations of aggregation functions under which the dimension of the transformed aggregation functions is higher than that of the original one. Interestingly, if a copula is transformed, under some conditions put on the monotone systems of functions, the transformed aggregation function is again a copula.

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

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING

ISSN

0888-613X

e-ISSN

—

Svazek periodika

118

Číslo periodika v rámci svazku

MAR

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

17

Strana od-do

79-95

Kód UT WoS článku

000513990200005

EID výsledku v databázi Scopus

2-s2.0-85077134138