International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 8, Pages 447-453
doi:10.1155/S0161171201006718
Mathematical morphology and poset geometry
Alain Bretto1
and Enzo Maria Li Marzi2
1University of Saint-Etienne, LIGIV, Site G.I.A.T Industries 3, Rue Javelin Pagnon, BP 505, Saint-Etienne Cedex 1 42007, France
2Department of Mathematics, University of Messina, Contrada Papardo, Salita Sperone 31 98166 Sant'Agata, Messina, Italy
Abstract
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.