Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)

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Aggregation Based on Outliers

Authors
Anna Kolesárová, Radko Mesiar
Corresponding Author
Radko Mesiar
Available Online 30 August 2021.
DOI
10.2991/asum.k.210827.078How to use a DOI?
Keywords
Aggregation function, Choquet integral, Extended aggregation function, Nullnorm, Outlier-based-aggregation, OWA operator, Triangular conorm, Triangular norm, Uninorm
Abstract

Inspired by the basic fuzzy connectives min (t-norm TM) and max (t-conorm SM), we introduce and study outliers-based extended aggregation functions. Simply said, A is an (a, b)-outliers-based extended aggregation function if for each arity n ≥ a + b, its output values depend on the number a minimal and b maximal input values only. We focus on associative outliers-based extended aggregation functions, including t-norms, t-conorms, uninorms, nullnorms, as well as on outliers-based extended OWA operators and related outliers-based extended aggregation functions.

Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
30 August 2021
ISBN
10.2991/asum.k.210827.078
ISSN
2589-6644
DOI
10.2991/asum.k.210827.078How to use a DOI?
Copyright
© 2021, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Anna Kolesárová
AU  - Radko Mesiar
PY  - 2021
DA  - 2021/08/30
TI  - Aggregation Based on Outliers
BT  - Joint Proceedings of the 19th World Congress of the International Fuzzy Systems Association (IFSA), the 12th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT), and the 11th International Summer School on Aggregation Operators (AGOP)
PB  - Atlantis Press
SP  - 584
EP  - 588
SN  - 2589-6644
UR  - https://doi.org/10.2991/asum.k.210827.078
DO  - 10.2991/asum.k.210827.078
ID  - Kolesárová2021
ER  -