Discrete pseudo-integrals

Radko Mesiar, Jun Li, E. Pap

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Integration of simple functions is a corner stone of general integration theory and it covers integration over finite spaces discussed in this paper. Different kinds of decomposition and subdecomposition of simple functions into basic functions sums, as well as different kinds of pseudo-operations exploited for integration and sumation result into several types of integrals, including among others, Lebesgue, Choquet, Sugeno, pseudo-additive, Shilkret, PAN, Benvenuti and concave integrals. Some basic properties of introduced discrete pseudo-concave integrals are discussed, and several examples of new integrals are given.

Original languageEnglish
Pages (from-to)357-364
Number of pages8
JournalInternational Journal of Approximate Reasoning
Volume54
Issue number3
DOIs
Publication statusPublished - Apr 2013

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Keywords

  • Choquet integral
  • Concave integral
  • Pseudo-addition
  • Pseudo-concavity
  • Pseudo-multiplication

ASJC Scopus subject areas

  • Artificial Intelligence
  • Software
  • Theoretical Computer Science
  • Applied Mathematics

Cite this

Discrete pseudo-integrals. / Mesiar, Radko; Li, Jun; Pap, E.

In: International Journal of Approximate Reasoning, Vol. 54, No. 3, 04.2013, p. 357-364.

Research output: Contribution to journalArticle

Mesiar, Radko ; Li, Jun ; Pap, E. / Discrete pseudo-integrals. In: International Journal of Approximate Reasoning. 2013 ; Vol. 54, No. 3. pp. 357-364.
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