On the instantiation of possibility distributions

  • Authors:
  • Ronald R. Yager

  • Affiliations:
  • Machine Intelligence Institute, Iona College, 715 North Avenue, New Rochelle, NY

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2002

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Abstract

We investigate the problem of instantiating a variable whose value is uncertain, but known to be constrained by a possibility distribution. Using a model based upon the Dempster-Shafer belief structure, we show that this problem of instantiation is analogous to a compound experiment in which we randomly select a subset and then perform a number of repeated experiments without replacement on this set. The probability distribution resulting from this compound experiment leads to a random procedure for instantiating a possibility distribution.