Uncertainty and subnormal possibility distributions

Mark J. Wierman

Research output: Contribution to journalArticlepeer-review


An axiomatic derivation of the U-uncertainty that is simpler than the standard proof which covers the case of sub-normal possibility distributions is presented. The standard deviation uses an extremely complex branching axiom which is equivalent to the branching axiom presented. While the terminology used is possibility theory, a fuzzy set can be considered as an unordered and sub-normal possibility distribution. As a consequence the correct measure of uncertainty for a fuzzy set is U(A) = ∫0h(A) log2|αA|+(1-h(A))log2|s(A)|.

Original languageEnglish
Pages (from-to)313-316
Number of pages4
JournalUnknown Journal
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Media Technology


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