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- W2330406685 abstract "A generalized Bayes theorem in the frame of Shafer's theory of evidence is proposed. Smets proposed a procedure for obtaining a posterior basic probability assignment from prior and conditional basic probability assignments using Dempster rule of combination. We show that the uncertainty in the sense of non-specificity of a probability distribution changes by the Smets' procedure. Hence, it contradict with Bayes theorem. We formulate a new combination rule and construct a procedure for obtaining a posterior basic probability assignment without changing the uncertainty. We verify that the proposed rule is reduced to Bayes theorem when each of basic probability assignment is a regular probability assignment. It is also Jeffrey's rule when observation is obtained by a probability distribution and prior distributions are probability distributions." @default.
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- W2330406685 date "1992-01-01" @default.
- W2330406685 modified "2023-09-25" @default.
- W2330406685 title "A Generalization of Bayes Theorem in Theory of Evidence" @default.
- W2330406685 doi "https://doi.org/10.5687/iscie.5.481" @default.
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