Title :
Choquet Integrals on L-Fuzzy Sets
Author :
Huang, Yan ; Wu, Congxin
Author_Institution :
Harbin Inst. of Technol., Harbin
Abstract :
In this paper the Choquet integrals on L-fuzzy sets is introduced, and some elementary properties of this kind of Choquet integrals are studied. A necessary and sufficient condition that the equality of two measurable mappings almost everywhere can always imply the equality of their corresponding integrals is given. Convergence theorems of a sequence of Choquet integrals are shown. Finally, as an application of Choquet integrals, a new set function defined by Choquet integrals is discussed.
Keywords :
fuzzy set theory; integral equations; Choquet integrals; L-fuzzy sets; elementary properties; Convergence; Data mining; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Image processing; Lattices; Pattern recognition; Sufficient conditions; Choquet integral; Fuzzy measure; L-fuzzy set; Monotone convergence;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
Conference_Location :
Shandong
Print_ISBN :
978-0-7695-3305-6
DOI :
10.1109/FSKD.2008.206
