Fuzzification of Aggregation Operators Based on Choquet Integral

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

Fuzzification of Aggregation Operators Based on Choquet Integral

Popis výsledku v původním jazyce

This paper deals with a two-level fuzzification of two classes of aggregation operators representing special cases of the Choquet integral ? the weighted average and the ordered weighted average (OWA). The first level of fuzzification means that only values that are to be aggregated are fuzzy. On the second level, also weights are uncertain, modeled by fuzzy numbers. Algorithms for computing the first-level fuzzy averages are described and illustrated by examples. Mathematical models of computing second-level fuzzy averages are presented too, and a new effective algorithm for the second-level fuzzy OWA operator is proposed. Utilization of the aggregation operators in the models of multiple criteria decision making, decision making under risk, and decision making under uncertainty is explained.

Název v anglickém jazyce

Fuzzification of Aggregation Operators Based on Choquet Integral

Popis výsledku anglicky

This paper deals with a two-level fuzzification of two classes of aggregation operators representing special cases of the Choquet integral ? the weighted average and the ordered weighted average (OWA). The first level of fuzzification means that only values that are to be aggregated are fuzzy. On the second level, also weights are uncertain, modeled by fuzzy numbers. Algorithms for computing the first-level fuzzy averages are described and illustrated by examples. Mathematical models of computing second-level fuzzy averages are presented too, and a new effective algorithm for the second-level fuzzy OWA operator is proposed. Utilization of the aggregation operators in the models of multiple criteria decision making, decision making under risk, and decision making under uncertainty is explained.

Druh

D - Stať ve sborníku

CEP obor

BB - Aplikovaná statistika, operační výzkum

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2008

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of 7th international conference on Applied Mathematics (Aplimat 2008)

ISBN

978-80-89313-03-7

ISSN

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e-ISSN

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Počet stran výsledku

1224

Strana od-do

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Název nakladatele

Slovenská technická univerzita

Místo vydání

Bratislava

Místo konání akce

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Datum konání akce

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Typ akce podle státní příslušnosti

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Kód UT WoS článku

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