By Kurt Weichselberger

In this booklet the resultant use of likelihood idea is proposed for dealing with uncertainty in professional structures. it's proven that equipment violating this advice could have harmful effects (e.g., the Dempster-Shafer rule and the tactic utilized in MYCIN). the need of a few specifications for an accurate combining of doubtful info in specialist platforms is tested and compatible principles are supplied. the chance is considered that period estimates are given rather than precise information regarding chances. For combining info containing period estimates ideas are supplied that are necessary in lots of cases.

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21), if the initial probabilities lie between their respective limits? Should we restrict ourselves to cases, for which basic probability numbers exist, two further methods can be suggested. 23) shows an important favourable quality which the Dempster-Shafer rule lacks. 21) can be sufficient at all. As was pointed out earlier one should generally distinguish between the use of such rules in statistical inference and their use in diagnostic systems. The characteristic feature of the latter is the combination of pieces of evidence, each of which consists of an observation of one relevant attribute.

We denote for the combined probability distribution P(Ei): Sup~P(Ei) = Ui pes t I n f P(Ei) = Li. PES* These upper and lower limits can be calculated by means of an algorithm, which is described in the Appendix. 22). This will be demonstrated in the following example, which uses the values of the preceding example. 6944. 6667]. [] The result of these comparisons demonstrates that the Dempster-Shafer rule may be a great deal too optimistic. 21) is always possible if the application of the Dempster-Shafer rule is possible.

Ell. ,k. 21). " n~l(Bil) with B (11 being the symbol for concluding from the first source to subset Bil, from the second to Bi2 and so on. For Bil . . . Bit and for Bil N ... Cl Bil --= ¢ an analogous procedure to that used above is obvious. ,Bil are neither identical nor disjunct. Any combination rule for basic probability numbers re(B) affords a decision as how to make allowance for m(B~ l, ), if B~ l> is of this kind. NBil. This seems quite natural, as one would proceed in the same way if 46 experiments were described.