On lattice structure and implications on ordered fuzzy numbers

DOI

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.

Copyright

© 2011, 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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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 (EUSFLAT-11)
PB  - Atlantis Press
SP  - 267
EP  - 274
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.156
DO  - 10.2991/eusflat.2011.156
ID  - Kacprzak2011/08
ER  -