Jensen type inequality for the pseudo-integral based on the smallest universal integral

E. Pap, Mirjana Strboja

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

2 Citations (Scopus)

Abstract

Choquet and Sugeno integrals have wide applications in several practical areas, especially as aggregation functions in decision theory. Universal integral is a generalization of Choquet and Sugeno integrals. The Jensen type inequality related to the smallest universal integral which special cases are Sugeno, Shilkret, seminormed fuzzy integrals and pseudo-integral has been recently proposed. Based on this result, we have obtained the Jensen's inequality for the pseudo-integral and sufficient conditions under which that inequality holds.

Original languageEnglish
Title of host publicationSISY 2014 - IEEE 12th International Symposium on Intelligent Systems and Informatics, Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages143-147
Number of pages5
ISBN (Print)9781479959969
DOIs
Publication statusPublished - Oct 14 2014
Event12th IEEE International Symposium on Intelligent Systems and Informatics, SISY 2014 - Subotica, Serbia
Duration: Sep 11 2014Sep 13 2014

Other

Other12th IEEE International Symposium on Intelligent Systems and Informatics, SISY 2014
CountrySerbia
CitySubotica
Period9/11/149/13/14

Fingerprint

Decision theory
Agglomeration

Keywords

  • Jensen's inequality
  • monotone measure
  • operation
  • Pseudo
  • pseudo-integral
  • universal inte-gral

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Artificial Intelligence

Cite this

Pap, E., & Strboja, M. (2014). Jensen type inequality for the pseudo-integral based on the smallest universal integral. In SISY 2014 - IEEE 12th International Symposium on Intelligent Systems and Informatics, Proceedings (pp. 143-147). [6923574] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SISY.2014.6923574

Jensen type inequality for the pseudo-integral based on the smallest universal integral. / Pap, E.; Strboja, Mirjana.

SISY 2014 - IEEE 12th International Symposium on Intelligent Systems and Informatics, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2014. p. 143-147 6923574.

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

Pap, E & Strboja, M 2014, Jensen type inequality for the pseudo-integral based on the smallest universal integral. in SISY 2014 - IEEE 12th International Symposium on Intelligent Systems and Informatics, Proceedings., 6923574, Institute of Electrical and Electronics Engineers Inc., pp. 143-147, 12th IEEE International Symposium on Intelligent Systems and Informatics, SISY 2014, Subotica, Serbia, 9/11/14. https://doi.org/10.1109/SISY.2014.6923574
Pap E, Strboja M. Jensen type inequality for the pseudo-integral based on the smallest universal integral. In SISY 2014 - IEEE 12th International Symposium on Intelligent Systems and Informatics, Proceedings. Institute of Electrical and Electronics Engineers Inc. 2014. p. 143-147. 6923574 https://doi.org/10.1109/SISY.2014.6923574
Pap, E. ; Strboja, Mirjana. / Jensen type inequality for the pseudo-integral based on the smallest universal integral. SISY 2014 - IEEE 12th International Symposium on Intelligent Systems and Informatics, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 143-147
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