Fuzzy Integrals

摘要

We bring an overview of fuzzy integrals, including historical remarks. Choquet integral can be traced back to 1925. Sugeno integral has a predecessor in Shilkret integral from 1971. Some other fuzzy integrals and the corresponding discrete integrals are also given. An application of Choquet integral to additive impreciseness measuring of fuzzy quantities with interesting consequences for fuzzy measures is presented. Finally, recent development and streaming of fuzzy integrals theory are mentioned.