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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
