Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Discrete uninorms with smooth underlying operators

Authors
Daniel Ruiz-Aguilera, Joan Torrens
Corresponding Author
Daniel Ruiz-Aguilera
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.69How to use a DOI?
Keywords
discrete uninorms smoothness condition t-norms t-conorms
Abstract

The class of discrete uninorms U such that their underlying t-norm T and t-conorm S are smooth is studied. The different cases combining when T is the minimum or the Lukasiewicz t-norm and S is the maximum or the Lukasiewicz t-conorm, are characterized and the number of discrete uninorms with these underlying operators is given. It is also studied the general case when T and/or S are smooth, but ordinal sums.

Copyright
© 2013, 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
Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.69How to use a DOI?
Copyright
© 2013, 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

TY  - CONF
AU  - Daniel Ruiz-Aguilera
AU  - Joan Torrens
PY  - 2013/08
DA  - 2013/08
TI  - Discrete uninorms with smooth underlying operators
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 496
EP  - 502
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.69
DO  - https://doi.org/10.2991/eusflat.2013.69
ID  - Ruiz-Aguilera2013/08
ER  -