Additive fuzzy measures and integrals, III

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Abstract

This paper is the third in a series of works dealing with a class of fuzzy measures and with their corresponding fuzzy integrals. Its aim is to present some important properties of the additive fuzzy integrals introduced in (Butnariu, J. Math. Anal. Appl., in press; J. Math. Anal. Appl. 117 (1986), 385-410) (e.g., the Lebesgue-Beppo-Levi theorem, etc.). These properties are used to explain some applications of the additive fuzzy integrals in proving a Radon-Nikodym representation theorem for additive fuzzy measures and in constructing solutions for fuzzy games.

Original languageEnglish
Pages (from-to)288-303
Number of pages16
JournalJournal of Mathematical Analysis and Applications
Volume125
Issue number1
DOIs
StatePublished - Jul 1987
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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