The incidence relation of an L-Fuzzy Context as structuring element in Fuzzy Mathematical Morphology

DOI

10.2991/eusflat.2013.19How to use a DOI?

Keywords

L-fuzzy Concept Analysis Fuzzy Mathematical Morphology Formal Concept Analysis Morphological Image Processing

Abstract

The goal of this work is to prove a link between the Fuzzy Mathematical Morphology and the L-fuzzy Concept Analysis when we are using structuring relations which represent the effect that we want to produce over an initial fuzzy image or signal. In this case, we prove that the problem of obtaining the L-fuzzy concepts of an L-fuzzy context is equivalent to the problem of finding fuzzy images or signals that remain invariant under a fuzzy morphological opening or closing.

Copyright

© 2013, 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  - Cristina Alcalde
AU  - Ana Burusco
AU  - Ramon Fuentes-Gonzalez
PY  - 2013/08
DA  - 2013/08
TI  - The incidence relation of an L-Fuzzy Context as structuring element in Fuzzy Mathematical Morphology
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 132
EP  - 139
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.19
DO  - 10.2991/eusflat.2013.19
ID  - Alcalde2013/08
ER  -