Title :
On the compactness and separability of E(X)
Author :
Flores, Heriberto Román ; Franulic, Arturo Flores ; Medar, Marko Rojas ; Assanezi, R. C B
Author_Institution :
Tarapaca Univ., Casilla, Chile
Abstract :
Let X be a metric space and E(X) the class of fuzzy compact sets on X, equiped with the generalized Hausdorff metric D which take the supremum on the Hausdorff distances between the corresponding α-level sets. The aim of this paper is, on the one hand, to analyze the compactness and separability of E(X) with respect to the compactness and separability of X, and on the other, to study these properties on the subclass Ec(X) of level-continuous fuzzy sets
Keywords :
convergence of numerical methods; fuzzy set theory; Hausdorff distances; Hausdorff metric; compactness; convergence; fuzzy compact sets; fuzzy set theory; metric space; separability; Extraterrestrial measurements; Fuzzy sets; Level set;
Conference_Titel :
Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
0-7803-3796-4
DOI :
10.1109/FUZZY.1997.622794
