Abstract
Let X be a metric space and E( X) the class of fuzzy compact sets on X, equipped 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 E c ( X) of level-continuous fuzzy sets.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.