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

Coimplications in the set of discrete fuzzy numbers

Authors
Juan Vicente Riera, Joan Torrens
Corresponding Author
Juan Vicente Riera
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.36How to use a DOI?
Keywords
Coimplication function Implication function Discrete fuzzy number Finite chain
Abstract

Given a coimplication function $J$ defined on the finite chain $L_n={0,...,n}$, a method for extending $J$ to the set of discrete fuzzy numbers whose support is an interval contained in $L_n$ (denoted by ${cal A}_1^{L_n}$) is given. The resulting extension is in fact a fuzzy coimplication on ${cal A}_1^{L_n}$ preserving many of the usual properties of coimplications. In particular, duality between implications and coimplications is preserved.

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.2013.36How 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  - Juan Vicente Riera
AU  - Joan Torrens
PY  - 2013/08
DA  - 2013/08
TI  - Coimplications in the set of discrete fuzzy numbers
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 247
EP  - 254
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.36
DO  - https://doi.org/10.2991/eusflat.2013.36
ID  - Riera2013/08
ER  -