Mesiar, Radko A note to the Choquet integral. (English) Zbl 0949.28013 Tatra Mt. Math. Publ. 12, 241-245 (1997). Summary: The Choquet integral for fuzzy measures on finite spaces is investigated. An evaluation formula for the Choquet integral on finite spaces based on the Möbius transform of fuzzy measures is presented. Some of the basic properties of the Choquet integral are easily derived from the evaluation formula. Cited in 2 Documents MSC: 28E10 Fuzzy measure theory Keywords:comonotone additivity; Choquet integral; fuzzy measures; Möbius transform PDF BibTeX XML Cite \textit{R. Mesiar}, Tatra Mt. Math. Publ. 12, 241--245 (1997; Zbl 0949.28013) OpenURL