On the space of measurable functions and its topology determined by the Choquet integral

Authors:
Yao Ouyang;Hua-peng Zhang
Affiliations:
Faculty of Science, Huzhou Teachers College, Huzhou, Zhejiang 313000, China;School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210046, China
Venue:
International Journal of Approximate Reasoning
Year:
2011

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Abstract

Let (X,A,@m) be a finite nonadditive measure space and M be the set of all finite measurable functions on X. The topology on M, which is determined by the Choquet integral with respect to @m, is investigated. The relationship between this topology and the one determined by the Sugeno integral is examined. Some interesting examples are included.