On lattice structure and implications on ordered fuzzy numbers
Magdalena Kacprzak, Witold Kosinski
Available Online August 2011.
- https://doi.org/10.2991/eusflat.2011.156How to use a DOI?
- Convex fuzzy numbers, ordered fuzzy numbers, partial order, lattice, implication, defuzzification functionals.
- 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.
- 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 -