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
Received 16 February 2001

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.