Additive fuzzy measures and integrals I

Research output: Contribution to journalArticlepeer-review


A point of view concerning "fuzzy measures" is explained. To this end, a new concept of "disjointness" for fuzzy is introduced and studied. Also, a concept of an "additive class of fuzzy sets" is defined to be a class of fuzzy sets closed under some "additive operations." The fuzzy measures are defined to be sum-preserving real functions over such additive classes. Some basic properties of the fuzzy measures are derived. In contrast with other homonymous concepts studied in literature, our fuzzy measures lead to an additive fuzzy integral (see the part II of the paper).

Original languageEnglish
Pages (from-to)436-452
Number of pages17
JournalJournal of Mathematical Analysis and Applications
Issue number2
StatePublished - May 1983
Externally publishedYes

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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