A nonlinear integral which generalizes both the Choquet and the Sugeno integral

Erich Peter Klement, Radko Mesiar, Endre Pap

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The Choquet and the Sugeno integral provide a useful tool in many problems in engineering and social choice where the aggregation of data is required. However, their applicability is somehow restricted because of the special operations used in the construction of these integrals. This survey presents the main ideas and results concerning the construction of a universal integral generalizing both the Choquet and the Sugeno case. For functions with values in the nonnegative real numbers, universal integrals can be defined on arbitrary measurable spaces and for arbitrary monotone measures. A more detailed exposition and the proofs of the propositions can be found in [38].

Original languageEnglish
Title of host publicationQuantitative Logic and Soft Computing 2010
Subtitle of host publicationVolume 2
EditorsBing-yuan Cao, Guo-jun Wang, Shui-li Chen, Si-zong Guo
Pages39-52
Number of pages14
DOIs
Publication statusPublished - Dec 1 2010

Publication series

NameAdvances in Intelligent and Soft Computing
Volume82
ISSN (Print)1867-5662

Keywords

  • Choquet integral
  • Sugeno integral
  • Universal integral
  • aggregation
  • pseudo-multiplication

ASJC Scopus subject areas

  • Computer Science(all)

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  • Cite this

    Klement, E. P., Mesiar, R., & Pap, E. (2010). A nonlinear integral which generalizes both the Choquet and the Sugeno integral. In B. Cao, G. Wang, S. Chen, & S. Guo (Eds.), Quantitative Logic and Soft Computing 2010: Volume 2 (pp. 39-52). (Advances in Intelligent and Soft Computing; Vol. 82). https://doi.org/10.1007/978-3-642-15660-1_3