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- W2901299834 abstract "Abstract In generalized probability theory, Choquet calculus on a real line, including Choquet integral equations and differential equations with respect to non-additive measures, has been recently discussed by Sugeno, Torra and Narukawa. These studies were based on Laplace transformation as a basic tool. However, in many problems, it is not possible to provide Laplace transformation. On the other hand, in many problems, differential equations with respect to non-additive measures often do not have exact solutions. These reasons permit us to propose an alternative approach for numerical Choquet calculus based on operational matrices, which also readily gives the approximate numerical solution of Choquet integral equations and differential equations with respect to non-additive measures. Finally, we present some illustrative examples for numerical Choquet calculus based on operational matrices which the Laplace transformation does not seem to be applicable in these cases." @default.
- W2901299834 created "2018-11-29" @default.
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- W2901299834 date "2019-04-01" @default.
- W2901299834 modified "2023-09-27" @default.
- W2901299834 title "Choquet calculus using operational matrices" @default.
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- W2901299834 doi "https://doi.org/10.1016/j.ins.2018.11.034" @default.
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