A generalization of the migrativity property of aggregation functions

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

A generalization of the migrativity property of aggregation functions

Popis výsledku v původním jazyce

This paper brings a generalization of the migrativity property of aggregation functions, suggested in earlier work of some of the present authors by imposing the ?-migrativity property of Durante and Sarkoci for all values of ? instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of ?-B-migrativity and B-migrativity. This generalization establishes a link between migrativity and a particular case of Aczel?s general associativity equation, already considered by Cutello and Montero as a recursive formula for aggregation. Following a basic investigation, emphasis is put on aggregation functions that can be represented in terms of an additive generator, more specifically, strict t-norms, strict t-conorms and representable uninorms.

Název v anglickém jazyce

A generalization of the migrativity property of aggregation functions

Popis výsledku anglicky

This paper brings a generalization of the migrativity property of aggregation functions, suggested in earlier work of some of the present authors by imposing the ?-migrativity property of Durante and Sarkoci for all values of ? instead of a single one. Replacing the algebraic product by an arbitrary aggregation function B naturally leads to the properties of ?-B-migrativity and B-migrativity. This generalization establishes a link between migrativity and a particular case of Aczel?s general associativity equation, already considered by Cutello and Montero as a recursive formula for aggregation. Following a basic investigation, emphasis is put on aggregation functions that can be represented in terms of an additive generator, more specifically, strict t-norms, strict t-conorms and representable uninorms.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

INFORM SCIENCES

ISSN

0020-0255

e-ISSN

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Svazek periodika

191

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

10

Strana od-do

76-85

Kód UT WoS článku

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EID výsledku v databázi Scopus

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