Abstract
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 language | English |
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Pages (from-to) | 313-316 |
Number of pages | 4 |
Journal | Unknown Journal |
State | Published - 1999 |
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Media Technology