Generators of Aggregation Functions and Fuzzy Connectives

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA1701JNI" target="_blank" >RIV/61988987:17610/16:A1701JNI - isvavai.cz</a>

Alternative codes found

RIV/61989592:15310/16:33160944

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Generators of Aggregation Functions and Fuzzy Connectives

Original language description

We show that the class of all aggregation functions on [0, 1] can be generated as a composition of infinitary sup-operation acting on sets with cardinality not exceeding c, b-medians Medb, b ? [0, 1[, and unary aggregation functions 1_]0,1] and 1_[a,1] , a ?]0, 1]. Moreover, we show that we cannot relax the cardinality of argument sets for suprema to be countable, thus showing a kind of minimality of the introduced generating set. As a by-product, generating sets for fuzzy connectives, such as fuzzy unions, fuzzy intersections, and fuzzy implications, are obtained, too.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

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

Publication year

2016

Confidentiality

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

Name of the periodical

IEEE T FUZZY SYST

ISSN

1063-6706

e-ISSN

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Volume of the periodical

24

Issue of the periodical within the volume

6

Country of publishing house

US - UNITED STATES

Number of pages

5

Pages from-to

1690-1694

UT code for WoS article

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EID of the result in the Scopus database

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