Some remarks on topological structures in the context of fuzzy relational mathematical morphology

DOI

10.2991/eusflat-19.2019.106How to use a DOI?

Keywords

mathematical morphology erosion dilation interior closure upper and lower image operators upper and lower preimage operators

Abstract

In this paper, we develop a topological view point on the subject of mathematical morphology. We shaw that erosion can be interpreted as a certain remote fuzzy interior operator; in its turn dilation can be interpreted as a remote fuzzy closure operator. Further, we introduce two kinds (upper and lower) image and preimage operators induced by an L-fuzzy relations. We study basic properties of these operators, in particular connections of these operators with erosion and dilation operators.

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/).

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TY  - CONF
AU  - Alexander Sostak
AU  - Ingrida Uljane
PY  - 2019/08
DA  - 2019/08
TI  - Some remarks on topological structures in the context of fuzzy relational mathematical morphology
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 776
EP  - 783
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.106
DO  - 10.2991/eusflat-19.2019.106
ID  - Sostak2019/08
ER  -