Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657577 | Topology | 2009 | 12 Pages |
Abstract
The Sugeno integral of an upper semicontinuous function from a compactum to a compact Hausdorff–Lawson lattice with respect to a lattice-valued capacity is introduced, and its characterization and properties are presented. It is proved that in a family of fuzzy integrals, the Sugeno integral is unique that provides a functional representation of the monad of lattice-valued capacities.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
O.R. Nykyforchyn,