A THEORY OF FUZZY MEASURES - INTEGRATION AND ITS ADDITIVITY
Fuzzy measures and their corresponding Choquet integrals introduced by Murofushi and Sugeno [1989, 1991] are included in the theory of pre-measures and the corresponding integral developed by Sipos [1979a, 1979b]. The additivity of Sipos integral is studied. As a corollary, the additivity of the Choquet integral is obtained.
fuzzy measure choquet integral additivity of integral