Journal article
Characterization of compact subsets of fuzzy sets
Fuzzy Sets and Systems, Vol.29(3), pp.341-348
1989
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.
Details
- Title
- Characterization of compact subsets of fuzzy sets
- Authors/Creators
- P. Diamond (Author/Creator) - The University of QueenslandP. Kloeden (Author/Creator)
- Publication Details
- Fuzzy Sets and Systems, Vol.29(3), pp.341-348
- Publisher
- Elsevier B.V.
- Identifiers
- 991005545089607891
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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InCites Highlights
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- Collaboration types
- Domestic collaboration
- Citation topics
- 4 Electrical Engineering, Electronics & Computer Science
- 4.61 Artificial Intelligence & Machine Learning
- 4.61.56 Fuzzy Decision-Making
- Web Of Science research areas
- Computer Science, Theory & Methods
- Mathematics, Applied
- Statistics & Probability
- ESI research areas
- Engineering