Arbres de Markov triplet et fusion de Dempster-Shafer. (Triplet Markov trees and Dempster-Shafer fusion)
Let \(Z= (X, Y)\) be a hidden Markov chain with \[ p(x, y)= p(x_1) p(x_2/x_1)\cdots p(x_n/x_{n-1}) p(y_1/x_1)\cdots p(y_n/x_n) \] distribution. It may be considered that \(p(x/y)\) is the Dempster-Shaefer fusion result of \(p(x)= p(x_1) p(x_2/x_1)\cdots p(x_n/x_{n-1})\) probability with \(q(x)\propto p(y_1/x_1)\cdots p(y_n/x_n)\) probability, \(y\) fixed. This result remains valid even if \(q\) is replaced with ``mass function''. The author established in a previous paper that \(M\) fusion with \(q\) is a triplet Markov chain. In the present paper, the author gives different generalizations of this last result.
scientific article; zbMATH DE number 1981333