Characterization of compact subsets of fuzzy sets
Tools
Tools
Tools
Diamond, P. and Kloeden, P. (1989) Characterization of compact subsets of fuzzy sets. Fuzzy Sets and Systems, 29 (3). pp. 341-348.
Link to Published Version: http://dx.doi.org/10.1016/0165-0114(89)90045-6
*Subscription may be required
*Subscription may be required
Abstract
A characterization of compact subsets is presented for the metric space of normal fuzzy convex fuzzy sets on the base space Rn, the metric for which is the supremum over the Hausdorff distances between corresponding level sets. It is shown that a closed subset is compact if and only if it is uniformly support-bounded and the corresponding set of support functions is equileftcontinuous in the membership grade variable.
| Item Type: | Journal Article |
|---|---|
| Murdoch Affiliation: | School of Mathematical and Physical Sciences |
| Publisher: | Elsevier B.V. |
| URI: | http://researchrepository.murdoch.edu.au/id/eprint/31668 |
 |
Item Control Page |
