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

On lattice structure and implications on ordered fuzzy numbers

Authors
Magdalena Kacprzak, Witold Kosinski
Corresponding Author
Magdalena Kacprzak
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.156How to use a DOI?
Keywords
Convex fuzzy numbers, ordered fuzzy numbers, partial order, lattice, implication, defuzzification functionals.
Abstract
Ordered fuzzy numbers (OFN) invented by the second author and his two coworkers in 2002 make possible to utilize the fuzzy arithmetic and to construct the Abelian group of fuzzy numbers and then an ordered ring. The definition of OFN uses the extension of the parametric representation of convex fuzzy numbers. Fuzzy implication is proposed with the help of algebraic operations and a lattice structure defined on OFN.
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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.2011.156How 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  - Magdalena Kacprzak
AU  - Witold Kosinski
PY  - 2011/08
DA  - 2011/08
TI  - On lattice structure and implications on ordered fuzzy numbers
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 267
EP  - 274
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.156
DO  - https://doi.org/10.2991/eusflat.2011.156
ID  - Kacprzak2011/08
ER  -