Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)

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

Authors
Alexander Sostak, Ingrida Uljane
Corresponding Author
Alexander Sostak
Available Online August 2019.
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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Volume Title
Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
Series
Atlantis Studies in Uncertainty Modelling
Publication Date
August 2019
ISBN
10.2991/eusflat-19.2019.106
ISSN
2589-6644
DOI
10.2991/eusflat-19.2019.106How to use a DOI?
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/).

Cite this article

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  -