Information-Preserving Probability-Possibility Transformations:

It is now generally recognized that uncertainty can be formalized in different mathematical theories [17]. Some of the theories of uncertainty are more general than others, while some are not comparable in this respect. The theories also differ from one another in their meaningful interpretations, computational complexity, robustness, and other aspects related to their utility. According to conclusions of several comparative studies [10, 11, 23, 26], none of the theories of uncertainty is superior to its competitors under all circumstances. Each theory seems to have some advantages and some disadvantages when compared with the other theories. Furthermore, this comparison is context-dependent: each theory is suitable for utilizing some types of evidence and unsuitable for other types. The different theories of uncertainty should thus be viewed as complementary.

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