Article ID Journal Published Year Pages File Type
390275 Fuzzy Sets and Systems 2010 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence