Abstract
The negation of a problem provides a new perspective for information representation. However, existing negation method has limitations since it can only be applied to the accurately expressed knowledge. Real-world information is imperfect and imprecise. It usually describes in natural language. In view of this, Prof. Zadeh suggested the concept of Z-number as a more adequate way for description of real world information. As Z-number involves both fuzzy and probabilistic uncertainty, a novel method for the negation of Z-number in combination of probability and fuzziness is proposed from the reliability of probability transmission in this paper. Moreover, several examples are used to describe the negation process and result. As far as our latest knowledge is concerned, the negation of Z-number has not been covered by researchers, so this may be another door for us to process Z-number-based information.
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