Article ID Journal Published Year Pages File Type
4657577 Topology 2009 12 Pages PDF
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
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