Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
390275 | Fuzzy Sets and Systems | 2010 | 12 Pages |
Abstract
In this paper, we introduce and study the concepts of pseudo-atom and Darboux property for set multifunctions. We establish relationships between the Darboux property and non-atomicity in the multivalued case. We also prove that the range of a multimeasure having the Darboux property is a convex set.
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