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

Uninorms and nullnorms on the set of discrete fuzzy numbers

Authors
Juan Vicente Riera, Joan Torrens
Corresponding Author
Juan Vicente Riera
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.137How to use a DOI?
Keywords
Uninorm, nullnorm, discrete fuzzy number, finite chain, lattice.
Abstract
In this paper a method to extend discrete uninorms and nullnorms on the finite chain L = {0, . . . , n}, to uninorms and nullnorms defined on the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L is presented. Some basic properties of discrete uninorms and nullnorms are preserved by this extension method and the structure of these kinds of aggregations is maintained too. Finally, we develop an application to obtain the group consensus opinion based on the extension of discrete uninorms and nullnorms.
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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.2011.137How 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  - Juan Vicente Riera
AU  - Joan Torrens
PY  - 2011/08
DA  - 2011/08
TI  - Uninorms and nullnorms on the set of discrete fuzzy numbers
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 59
EP  - 66
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.137
DO  - https://doi.org/10.2991/eusflat.2011.137
ID  - Riera2011/08
ER  -