DocumentCode
315902
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
Volume
2
fYear
1997
fDate
1-5 Jul 1997
Firstpage
683
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on
Conference_Location
Barcelona
Print_ISBN
0-7803-3796-4
Type
conf
DOI
10.1109/FUZZY.1997.622794
Filename
622794
Link To Document