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The chain variation of non-additive set functions

Authors: null Qiang Zhang; null Baoding Liu; null Guozhong Ma;

The chain variation of non-additive set functions

Abstract

We discuss some properties of the chain variations for non-additive set functions, such as the null-additivity, exhaustivity, order continuity and continuity. The Jordan decomposition theorem is also presented and proved for signed lower semicontinuous fuzzy measures.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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