Discrete pseudo-integrals

Radko Mesiar, Jun Li, Endre Pap

Research output: Contribution to journalArticle

25 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 1 2013

Keywords

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

ASJC Scopus subject areas

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

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