The Choquet integral in Riesz space

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2008 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 159, pages 629-645 (issn: 0165-0114,

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Authors: Jun Kawabe;

doi: 10.1016/j.fss.2007.09.013

The Choquet integral in Riesz space

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Abstract

The author develops a theory of Choquet integration with respect to a Riesz space-valued non-additive measure. In particular, several convergence theorems are proved. Moreover, in an appendix is given an overview of the theory of Riemann-Stieltjes integration in Riesz spaces.

Related Organizations

Shinshu University
Japan
Shinshu University
Japan

Keywords

Fuzzy measure theory, non-additive measure, Set functions, measures and integrals with values in ordered spaces, Choquet integral, Riemann-Stieltjes integral, Riesz spaces

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