Fuzzification of Aggregation Operators Based on Choquet Integral

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F08%3A00010842" target="_blank" >RIV/61989592:15310/08:00010842 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Fuzzification of Aggregation Operators Based on Choquet Integral

Original language description

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.

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

BB - Applied statistics, operational research

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

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

Name of the periodical

Aplimat - Journal of Applied Mathematics

ISSN

1337-6365

e-ISSN

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Volume of the periodical

1

Issue of the periodical within the volume

1

Country of publishing house

SK - SLOVAKIA

Number of pages

12

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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