Mathematical morphology and poset geometry

Mathematical morphology and poset geometry

The aim of this paper is to characterize morphological convex geometries (resp., antimatroids). We define these two structures by using closure operators, and kernel operators. We show that these convex geometries are equivalent to poset geometries.

Bibliographic Details
Main Authors: Alain Bretto, Enzo Maria Li Marzi
Format: Article
Language:English
Published: Hindawi Limited 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201006718
id doaj-b01afbe2b8b24f64acbfa50838d209e3
record_format Article
spelling doaj-b01afbe2b8b24f64acbfa50838d209e32020-11-24T22:38:57ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128844745310.1155/S0161171201006718Mathematical morphology and poset geometryAlain Bretto0Enzo Maria Li Marzi1University of Saint-Etienne, LIGIV, Site G.I.A.T Industries 3, Rue Javelin Pagnon, BP 505, Saint-Etienne Cedex 1 42007, FranceDepartment of Mathematics, University of Messina, Contrada Papardo, Salita Sperone 31 98166 Sant'Agata, Messina, ItalyThe aim of this paper is to characterize morphological convex geometries (resp., antimatroids). We define these two structures by using closure operators, and kernel operators. We show that these convex geometries are equivalent to poset geometries.http://dx.doi.org/10.1155/S0161171201006718
collection DOAJ
language English
format Article
sources DOAJ
author Alain Bretto
Enzo Maria Li Marzi
spellingShingle Alain Bretto
Enzo Maria Li Marzi
Mathematical morphology and poset geometry
International Journal of Mathematics and Mathematical Sciences
author_facet Alain Bretto
Enzo Maria Li Marzi
author_sort Alain Bretto
title Mathematical morphology and poset geometry
title_short Mathematical morphology and poset geometry
title_full Mathematical morphology and poset geometry
title_fullStr Mathematical morphology and poset geometry
title_full_unstemmed Mathematical morphology and poset geometry
title_sort mathematical morphology and poset geometry
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2001-01-01
description The aim of this paper is to characterize morphological convex geometries (resp., antimatroids). We define these two structures by using closure operators, and kernel operators. We show that these convex geometries are equivalent to poset geometries.
url http://dx.doi.org/10.1155/S0161171201006718
work_keys_str_mv AT alainbretto mathematicalmorphologyandposetgeometry
AT enzomarialimarzi mathematicalmorphologyandposetgeometry
_version_ 1725711044679041024

Similar Items