Order continuity of fuzzy measure and convergence of measurable functions sequence

Jun Li Jun Li

doi:10.1109/fuzz.2001.1007274

Order continuity of fuzzy measure and convergence of measurable functions sequence

Jun Li Jun Li

https://doi.org/10.1109/fuzz.2001.1007274

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Publication Date: Dec 2, 2001

Affiliation: Southeast University

#Lebesgue's Theorem #Strong Continuity + Show 8 more

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Abstract

The strong order continuity of fuzzy measure is introduced, and its several properties are presented. By using the new concept, Lebesgue's theorem on fuzzy measure is generalized substantially. It is shown that the strong order continuity is a sufficient and necessary condition of which Lebesgue's theorem in classical measure theory remains valid for a nonnegative monotone set function.

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