Intuitionistic fuzzy preference relations
Authors
Urszula Dudziak, Barbara Pekala
Corresponding Author
Urszula Dudziak
Available Online August 2011.
- DOI
- 10.2991/eusflat.2011.122How to use a DOI?
- Keywords
- intuitionistic fuzzy preference relations, properties of intuitionistic fuzzy relations.
- Abstract
We consider properties of intuitionistic fuzzy preference relations. We study preservation of a preference relation by lattice operations, composition and some Atanassov's operators like F,, P,, Q,, where , [0, 1]. We also define semi-properties of intuitionistic fuzzy relations, namely reflexivity, irreflexivity, connectedness, asymmetry, transitivity. Moreover, we study under which assumptions intuitionistic fuzzy preference relations fulfil these properties. In all these cases, if possible, we try to give characterizations of adequate properties.
- 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/).
Cite this article
TY - CONF AU - Urszula Dudziak AU - Barbara Pekala PY - 2011/08 DA - 2011/08 TI - Intuitionistic fuzzy preference relations BT - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11) PB - Atlantis Press SP - 529 EP - 536 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2011.122 DO - 10.2991/eusflat.2011.122 ID - Dudziak2011/08 ER -