The concave integral over large spaces

Ehud Lehrer*, Roee Teper

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

58 Scopus citations


This paper investigates the concave integral for capacities defined over large spaces. We characterize when the integral with respect to capacity v can be represented as the infimum over all integrals with respect to additive measures that are greater than or equal to v. We introduce the notion of loose extendability and study its relation to the concave integral. A non-additive version for the Levi theorem and the Fatou lemma are proven. Finally, we provide several convergence theorems for capacities with large cores.

Original languageEnglish
Pages (from-to)2130-2144
Number of pages15
JournalFuzzy Sets and Systems
Issue number16
StatePublished - 16 Aug 2008


  • Capacity
  • Concave integral
  • Convergence theorems
  • Extendability
  • Large core


Dive into the research topics of 'The concave integral over large spaces'. Together they form a unique fingerprint.

Cite this