Pseudometric generating property and autocontinuity of fuzzy measures

نویسندگان

  • Qingshan Jiang
  • Shengrui Wang
  • Djemel Ziou
  • Zhenyuan Wang
  • George J. Klir
چکیده

Several necessary and suucient conditions for the pseudometric generating property of non-additive set functions are given. The relation among the pseudometric generating property and autocontinuity of fuzzy measures is depicted by using the absolute continuity and exhaustivity. Moreover, any uniformly autocontinuous nite fuzzy measure is equivalent to a subadditive nite fuzzy measure. A further research on purely atomic fuzzy measures is also made.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 112  شماره 

صفحات  -

تاریخ انتشار 2000