Integration with respect to decomposable measures, based on a conditionally distributive semiring on the unit interval

Erich Peter Klement, Radko Mesiar, Endre Pap

Research output: Contribution to journalArticle

55 Citations (Scopus)


To cover almost all known Lebesgue type integrals constructed by means of pseudo-operations, the (S, U)-integral based on a t-conorm S, a uninorm (or t-norm) U and an S-measure (decomposable measure) is introduced and its properties are studied. Also its relationship to aggregation operators is discussed.

Original languageEnglish
Pages (from-to)701-717
Number of pages17
JournalInternational Journal of Uncertainty, Fuzziness and Knowlege-Based Systems
Issue number6
Publication statusPublished - Dec 2000



  • (S,U)-integral
  • Decomposable measure
  • Uninorm
  • t-conorm
  • t-norm

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Information Systems
  • Artificial Intelligence

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