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 |
|---|---|
| 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
Fingerprint Dive into the research topics of 'Uncertainty and subnormal possibility distributions'. Together they form a unique fingerprint.
Cite this
Wierman, M. J. (1999). Uncertainty and subnormal possibility distributions. Unknown Journal, 313-316.