Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

On Convergence of Fuzzy Integrals over Complete Residuated Lattices

Authors
Antonín Dvorak, Michal Holcapek
Corresponding Author
Antonín Dvorak
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.68How to use a DOI?
Keywords
Fuzzy integral, fuzzy quantifier, convergence, fuzzy measure
Abstract
Recently we proposed a new type of fuzzy integrals defined over complete residuated lattices. These integrals are intended for the modeling of type 1, 1 fuzzy quantifiers. An interesting theoretical question is, how to introduce various notions of convergence of this type of fuzzy integrals. In this contribution, we would like to present some results on strong and pointwise convergence of these fuzzy integrals, where the operation of the biresiduum is used to establish the measurement how close two elements of a residuated lattice are.
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This is an open access article distributed under the CC BY-NC license.

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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2011.68How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Antonín Dvorak
AU  - Michal Holcapek
PY  - 2011/08
DA  - 2011/08
TI  - On Convergence of Fuzzy Integrals over Complete Residuated Lattices
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 98
EP  - 105
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.68
DO  - https://doi.org/10.2991/eusflat.2011.68
ID  - Dvorak2011/08
ER  -