LATPub545: Unterschied zwischen den Versionen
Aus International Center for Computational Logic
Marcel Lippmann (Diskussion | Beiträge) KKeine Bearbeitungszusammenfassung |
Marcel Lippmann (Diskussion | Beiträge) KKeine Bearbeitungszusammenfassung |
||
| Zeile 21: | Zeile 21: | ||
{{Publikation Details | {{Publikation Details | ||
|Abstract=Although mathematical morphology and formal concept analysis are two lattice-based data analysis theories, they are still developed in two disconnected research communities. The aim of this paper is to contribute to fill this gap, beyond the classical relationship between the Galois connections defined by the derivation operators and the adjunctions underlying the algebraic mathematical morphology framework. In particular we define mathematical morphology operators over concept lattices, based on distances, valuations, or neighborhood relations in concept lattices. Their properties are also discussed. These operators provide new tools for reasoning over concept lattices. | |Abstract=Although mathematical morphology and formal concept analysis are two lattice-based data analysis theories, they are still developed in two disconnected research communities. The aim of this paper is to contribute to fill this gap, beyond the classical relationship between the Galois connections defined by the derivation operators and the adjunctions underlying the algebraic mathematical morphology framework. In particular we define mathematical morphology operators over concept lattices, based on distances, valuations, or neighborhood relations in concept lattices. Their properties are also discussed. These operators provide new tools for reasoning over concept lattices. | ||
|ISBN= | |ISBN= | ||
|ISSN= | |ISSN= | ||
| Zeile 41: | Zeile 40: | ||
year = {2013}, | year = {2013}, | ||
} | } | ||
}} | }} | ||
Version vom 23. März 2015, 13:24 Uhr
Mathematical Morphology Operators over Concept Lattices
Jamal AtifJamal Atif, Isabelle BlochIsabelle Bloch, Felix DistelFelix Distel, Céline HudelotCéline Hudelot
Jamal Atif, Isabelle Bloch, Felix Distel, Céline Hudelot
Mathematical Morphology Operators over Concept Lattices
In Peggy Cellier and Felix Distel and Bernhard Ganter, eds., Proceedings of the 11th International Conference on Formal Concept Analysis (ICFCA'13), volume 7880 of Lecture Notes in Computer Science, 28-43, 2013. Springer
Mathematical Morphology Operators over Concept Lattices
In Peggy Cellier and Felix Distel and Bernhard Ganter, eds., Proceedings of the 11th International Conference on Formal Concept Analysis (ICFCA'13), volume 7880 of Lecture Notes in Computer Science, 28-43, 2013. Springer
- KurzfassungAbstract
Although mathematical morphology and formal concept analysis are two lattice-based data analysis theories, they are still developed in two disconnected research communities. The aim of this paper is to contribute to fill this gap, beyond the classical relationship between the Galois connections defined by the derivation operators and the adjunctions underlying the algebraic mathematical morphology framework. In particular we define mathematical morphology operators over concept lattices, based on distances, valuations, or neighborhood relations in concept lattices. Their properties are also discussed. These operators provide new tools for reasoning over concept lattices. - Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory
@inproceedings{ AtEtAl-ICFCA13,
author = {Jamal {Atif} and Isabelle {Bloch} and Felix {Distel} and C\'{e}line {Hudelot}},
booktitle = {Proceedings of the 11th International Conference on Formal Concept Analysis {(ICFCA'13)}},
editor = {Peggy {Cellier} and Felix {Distel} and Bernhard {Ganter}},
pages = {28--43},
publisher = {Springer-Verlag},
series = {Lecture Notes in Computer Science},
title = {Mathematical Morphology Operators over Concept Lattices},
volume = {7880},
year = {2013},
}
