Titlebook: Classic Works of the Dempster-Shafer Theory of Belief Functions; Roland R. Yager (Dr.),Liping Liu Book 2008 Springer-Verlag Berlin Heidelb

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Classic Works of the Dempster-Shafer Theory of Belief Functions978-3-540-44792-4Series ISSN 1434-9922 Series E-ISSN 1860-0808

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https://doi.org/10.1007/978-3-030-82007-7t-of-conflict conjecture, which implies that these definitions can be extended in a natural way to all support functions. In this paper I show that the extension to support functions can be carried out whether or not the weight-of-conflict conjecture is true.

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https://doi.org/10.1007/978-3-540-76892-0essary property of probabilities dominating a given capacity is demonstrated through the use of Gale’s theorem for the transshipment problem. This property is shown to be also sufficient if and only if the capacity is monotone of infinite order. A characterization of dominating probabilities specific to capacities of order 2 is also proved.

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Pamela A. Ferguson,Alexandre TurullWe review Shafer’s theory of evidence. We then introduce the concepts of entropy and specificity in the framework of Shafer’s theory. These become complementary aspects in the indication of the quality of evidence.

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Weights of Evidence and Internal Conflict for Support Functions,t-of-conflict conjecture, which implies that these definitions can be extended in a natural way to all support functions. In this paper I show that the extension to support functions can be carried out whether or not the weight-of-conflict conjecture is true.

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,Implementing Dempster’s Rule for Hierarchical Evidence,y efficient, and it makes the approximation suggested by Gordon and Shortliffe unnecessary. The algorithm itself is simple, but its derivation depends on a detailed understanding of the interaction of hierarchical evidence.