Inequalities for integrals based on nonadditive measures

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

Abstract

There are considered generalizations of the classical integral inequalities as Hölder, Minkowski, Chebishev, Berwald to fuzzy integrals, e.g., Choquet and Sugeno integrals. For the universal integral, as generalization of Choquet and Sugeno integral, there are given a general inequality which cover Hölder and Minkowski type inequalities. There are given generalizations of the Hölder, Minkowski and Chebyshev's inequalities for two important cases of the pseudo-integral.

Original languageEnglish
Title of host publication12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011 - Proceedings
Pages17-22
Number of pages6
DOIs
Publication statusPublished - 2011
Event12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011 - Budapest, Hungary
Duration: Nov 21 2011Nov 22 2011

Other

Other12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011
CountryHungary
CityBudapest
Period11/21/1111/22/11

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computational Theory and Mathematics
  • Information Systems

Cite this

Pap, E. (2011). Inequalities for integrals based on nonadditive measures. In 12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011 - Proceedings (pp. 17-22). [6108494] https://doi.org/10.1109/CINTI.2011.6108494

Inequalities for integrals based on nonadditive measures. / Pap, E.

12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011 - Proceedings. 2011. p. 17-22 6108494.

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

Pap, E 2011, Inequalities for integrals based on nonadditive measures. in 12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011 - Proceedings., 6108494, pp. 17-22, 12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011, Budapest, Hungary, 11/21/11. https://doi.org/10.1109/CINTI.2011.6108494
Pap E. Inequalities for integrals based on nonadditive measures. In 12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011 - Proceedings. 2011. p. 17-22. 6108494 https://doi.org/10.1109/CINTI.2011.6108494
Pap, E. / Inequalities for integrals based on nonadditive measures. 12th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2011 - Proceedings. 2011. pp. 17-22
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