Characterization of compact subsets of fuzzy sets
โ Scribed by Phil Diamond; Peter Kloeden
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 402 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0165-0114
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The supremum metric D between fuzzy subsets of a metric space is the supremum of the Hausdorff distances of the corresponding level sets. In this paper some new criteria of compactness with respect to the distance D are given; they concern arbitrary fuzzy sets (see Theorem 7), fuzzy sets having no p
Based on some properties of fuzzy t-norm and t-conorm operators, the concept of fuzzy-rough sets on compact computational domain has been put forward. Various mathematical properties of this new definition of fuzzy-rough sets arc discussed from pattern classification viewpoint. It is established tha
The notion of Ap. of a fuzzy subgroup A is introduced. Using the notion, we characterize fuzzy subgroups and show that every commutative fuzzy subgroup characterized as the intersection of its all minimal fuzzy p\*-subgroups.
## Abstract The uniqueness up to translation of the characterization of random compact sets in Euclidean space by their dilation volumes is shown. The unique correspondence is shown to be a homeomorphism with respect to suitable topologies. If set differences of volume zero are neglected, dilations