It is shown that several important structural characteristics of the original set function, such as weak null additivity, strong order continuity, property (s) and pseudometric generating property, etc. , are preserved by the new set function.

 
  • 證明了Choquet積分定義的新的單調集函數遺傳了原來(lái)集函數的幾個(gè)重要的結構特性 ;如弱零可加性、強序連續性、性質(zhì) (S)和偽距離生成性質(zhì)等 .
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