Many-level fuzzy rough approximation spaces induced by many-level fuzzy preorders and the related ditopological structures

DOI

10.2991/eusflat-19.2019.41How to use a DOI?

Keywords

Many-level fuzzy rough approximation operator measure of fuzzy rough approximation LM-fuzzy (di)topologies M-level L-fuzzy (di)topologies.

Abstract

In this paper, we present a many-level version for the Pawlak - Dubois and Prade theory of rough approximation of fuzzy sets. Basing on the many-level upper and lower fuzzy rough approximation operators, we define the measure of rough approximation that in a certain sense characterizes the quality of the obtained approximation. Further, the fuzzy rough approximation operators give rise to two alternative topological-type structures considered in this paper.

Copyright

© 2019, 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/).

Download article (PDF)

TY  - CONF
AU  - Alexander Sostak
AU  - Ingrida Uljane
AU  - Aleksandrs Elkins
PY  - 2019/08
DA  - 2019/08
TI  - Many-level fuzzy rough approximation spaces induced by many-level fuzzy preorders and the related ditopological structures
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 281
EP  - 288
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.41
DO  - 10.2991/eusflat-19.2019.41
ID  - Sostak2019/08
ER  -