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Set-based extended aggregation functions

delete2019-07-22
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OA
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R
Radko Mesiar *
A
Anna Kolesárová
D
Daniel Gómez
J
Javier Montero
DOI:10.1002/int.22128delete
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Abstract

Abstract

En 中文
Inspired by the Zadeh approach to fuzzy connectives in fuzzy set theory and by some applications, we introduce and study set-based extended functions, and in particular, set-based extended aggregation functions. These functions reflect neither reordering nor repetition of input values, and, linking different arities, they introduce serious constraints for extended functions. A complete characterization of set-based extended (aggregation) functions is given, and some constructions of such functions are also proposed, including several examples.
Keywords:
aggregation function
extended aggregation function
extended function
set-based extended aggregation function
set-based extended function
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Journal

International Journal of Intelligent Systems cover
International Journal of Intelligent Systems
IF:
3.7
Papers:
3.1K
Citations:
8.1K

Organization

C
Complutense University of Madrid
Scholars:
2.6W
Papers: 2.2W
Citations: 31
S
slovak university of technology bratislava
Scholars:
3.7K
Papers: 2.8K
Citations: 1
Cited Papers

Cited Papers

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Implication and improvement of stereoselective methylenation of a chiral aldehyde related to total synthesis of the furaquinocins
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errJ. G. Hendrick and W. F. Buchele
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