| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We may view nonlinear integrals such as the Choquet, the Sugeno and the Shilkret integrals as nonlinear integral functionals defined on the product of the space of all nonadditive measures and the space of all measurable functions. From this point of view, we discussed the monotone convergence theorem and the bounded convergence theorem for such nonlinear integrals, together with the portmanteau theorem for nonadditvie measures, and verified that they can be formulated independently of the type of the integrals by using the notion of perturbation of integral functional. This perturbation manages the small change of the functional value arising as
a result of adding small amounts to a measure and an integrand.
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