A concept of universal integral based on measures of level sets

Erich Peter Klement, Radko Mesiar, E. Pap

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

Abstract

For functions with values in the nonnegative real numbers, universal integrals are introduced and investigated which can be defined on arbitrary measurable spaces and for arbitrary monotone measures, including as special cases Choquet and Sugeno integrals. For a fixed pseudo-multiplication on the nonnegative real numbers, the smallest and the greatest universal integrals are given. Finally, another construction method for obtaining universal integrals is introduced.

Original languageEnglish
Title of host publicationSISY 2009 - 7th International Symposium on Intelligent Systems and Informatics
Pages11-16
Number of pages6
DOIs
Publication statusPublished - 2009
EventSISY 2009 - 7th International Symposium on Intelligent Systems and Informatics - Subotica, Serbia
Duration: Sep 25 2009Sep 26 2009

Other

OtherSISY 2009 - 7th International Symposium on Intelligent Systems and Informatics
CountrySerbia
CitySubotica
Period9/25/099/26/09

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Klement, E. P., Mesiar, R., & Pap, E. (2009). A concept of universal integral based on measures of level sets. In SISY 2009 - 7th International Symposium on Intelligent Systems and Informatics (pp. 11-16). [5291184] https://doi.org/10.1109/SISY.2009.5291184

A concept of universal integral based on measures of level sets. / Klement, Erich Peter; Mesiar, Radko; Pap, E.

SISY 2009 - 7th International Symposium on Intelligent Systems and Informatics. 2009. p. 11-16 5291184.

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

Klement, EP, Mesiar, R & Pap, E 2009, A concept of universal integral based on measures of level sets. in SISY 2009 - 7th International Symposium on Intelligent Systems and Informatics., 5291184, pp. 11-16, SISY 2009 - 7th International Symposium on Intelligent Systems and Informatics, Subotica, Serbia, 9/25/09. https://doi.org/10.1109/SISY.2009.5291184
Klement EP, Mesiar R, Pap E. A concept of universal integral based on measures of level sets. In SISY 2009 - 7th International Symposium on Intelligent Systems and Informatics. 2009. p. 11-16. 5291184 https://doi.org/10.1109/SISY.2009.5291184
Klement, Erich Peter ; Mesiar, Radko ; Pap, E. / A concept of universal integral based on measures of level sets. SISY 2009 - 7th International Symposium on Intelligent Systems and Informatics. 2009. pp. 11-16
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