k-maxitive aggregation functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73590117" target="_blank" >RIV/61989592:15310/18:73590117 - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0165011418300046" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011418300046</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.fss.2017.12.016" target="_blank" >10.1016/j.fss.2017.12.016</a>

Result language

angličtina

Original language name

k-maxitive aggregation functions

Original language description

Inspired by the idea of k-maxitive measures, we introduce and study k-maxitive aggregation functions. In particular, 1-maxitive aggregation functions are shown to be just maxitive aggregation functions, i.e., maxima of distorted inputs. We introduce, among others, a representation of symmetric k-maxitive aggregation functions. Moreover, we show that for any k-maxitive capacity and the smallest universal integral based on an arbitrary fixed semicopula, including the Sugeno and Shilkret integrals, the resulting aggregation function is k-maxitive.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2018

Confidentiality

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

Name of the periodical

FUZZY SETS AND SYSTEMS

ISSN

0165-0114

e-ISSN

—

Volume of the periodical

346

Issue of the periodical within the volume

SEP

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

11

Pages from-to

127-137

UT code for WoS article

000436569600006

EID of the result in the Scopus database

2-s2.0-85039939415