A monotone convergence related to pseudo-integral

Mirjana Štrboja, E. Pap, Biljana Mihailović

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

6 Citations (Scopus)

Abstract

The pseudo-integral is based on a class of set functions which are a generalization of the classical measure. In this paper we have observed how to transform a pseudo-integral into another pseudo-integral that enables us to give the relationship between the pseudo-integral and other integrals based on monotone set functions such as the universal, Sugeno and Shilkret integrals. Also, using the transformed pseudo-integral we have obtained a monotone convergence theorem for the pseudo-integral. As a consequence of the monotone convergence theorem we get the Fatou's lemma for the pseudo-integral.

Original languageEnglish
Title of host publicationSISY 2015 - IEEE 13th International Symposium on Intelligent Systems and Informatics, Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages95-100
Number of pages6
ISBN (Print)9781467393881
DOIs
Publication statusPublished - Nov 10 2015
Event13th IEEE International Symposium on Intelligent Systems and Informatics, SISY 2015 - Subotica, Serbia
Duration: Sep 17 2015Sep 19 2015

Other

Other13th IEEE International Symposium on Intelligent Systems and Informatics, SISY 2015
CountrySerbia
CitySubotica
Period9/17/159/19/15

Keywords

  • monotone convergence
  • pseudo-addition
  • pseudo-integral
  • pseudo-multiplication
  • semiring

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computer Networks and Communications
  • Information Systems
  • Signal Processing

Cite this

Štrboja, M., Pap, E., & Mihailović, B. (2015). A monotone convergence related to pseudo-integral. In SISY 2015 - IEEE 13th International Symposium on Intelligent Systems and Informatics, Proceedings (pp. 95-100). [7325358] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SISY.2015.7325358

A monotone convergence related to pseudo-integral. / Štrboja, Mirjana; Pap, E.; Mihailović, Biljana.

SISY 2015 - IEEE 13th International Symposium on Intelligent Systems and Informatics, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. p. 95-100 7325358.

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

Štrboja, M, Pap, E & Mihailović, B 2015, A monotone convergence related to pseudo-integral. in SISY 2015 - IEEE 13th International Symposium on Intelligent Systems and Informatics, Proceedings., 7325358, Institute of Electrical and Electronics Engineers Inc., pp. 95-100, 13th IEEE International Symposium on Intelligent Systems and Informatics, SISY 2015, Subotica, Serbia, 9/17/15. https://doi.org/10.1109/SISY.2015.7325358
Štrboja M, Pap E, Mihailović B. A monotone convergence related to pseudo-integral. In SISY 2015 - IEEE 13th International Symposium on Intelligent Systems and Informatics, Proceedings. Institute of Electrical and Electronics Engineers Inc. 2015. p. 95-100. 7325358 https://doi.org/10.1109/SISY.2015.7325358
Štrboja, Mirjana ; Pap, E. ; Mihailović, Biljana. / A monotone convergence related to pseudo-integral. SISY 2015 - IEEE 13th International Symposium on Intelligent Systems and Informatics, Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 95-100
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