Representation of maxitive measures: an overview

In: Mathematica Slovaca, vol. 67, no. 1

Paul Poncet

Details:

Year, pages: 2017, 121 - 150

Keywords:

Idempotent integration, Shilkret integral, Sugeno integral, essential supremum, Radon-Nikodym Theorem, maxitive measures, $\sigma$-principal measures, localizable measures, countable chain condition, optimal measures, possibility theory

DOI: https://doi.org/10.1515/ms-2016-0253

About article:

Idempotent integration is an analogue of Lebesgue integration where $σ$-maxitive measures replace $σ$-additive measures. In addition to reviewing and unifying several Radon-Nikodym like theorems proven in the literature for the idempotent integral, we also prove new results of the same kind.

How to cite:

ISO 690:

Poncet, P. 2017. Representation of maxitive measures: an overview. In Mathematica Slovaca, vol. 67, no.1, pp. 121-150. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0253

APA:

Poncet, P. (2017). Representation of maxitive measures: an overview. Mathematica Slovaca, 67(1), 121-150. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0253

About edition:

Published: 1. 2. 2017