The latest developments in Markov models’ theory and their corresponding computational techniques have opened new rooms for image and signal modeling. In particular, the use of Dempster–Shafer theory of evidence within Markov models has brought some keys to several challenging difficulties that the conventional hidden Markov models cannot handle. These difficulties are concerned mainly with two...

With the desire to manage imprecise and vague information in evidential reasoning, several attempts have been made to generalize the Dempster–Shafer (D– S) theory to deal with fuzzy sets. However, the important principle of the D–S theory, that the belief and plausibility functions are treated as lower and upper probabilities, is no longer preserved in these generalizations. A generalization of...

Dempster-Shafer theory, which can be regarded as a generalisation of probability theory, is a widely used formalism for reasoning with uncertain information. The application of the theory hinges on the use of a rule for combining evidence from different sources. A number of different combination rules have been applied, each of which makes certain assumptions about the evidence. Here we describ...

With the growing environmental awareness, there is a rising demand for green decorative materials in furniture and indoor design. However, existing studies lack overall evaluation of functions To make up gap, this paper evaluates function explores preparation method Firstly, types purchase principles were expounded, flow wood product coating was given Then, an model established materials, stoch...

A sufficient condition is developed for the equality of the plausibility and commonality measures of the Dempster-Shafer belief calculus. When the condition is met, as it is in many applications, an efficient method to calculate relative plausibility is available. In particular, the method can be used to calculate the relative plausibility of atomic hypotheses and, therefore, it can be used to ...

Cognitive radio (CR) is a promising technology that brings about remarkable improvement in spectrum utilization. To tackle the hidden terminal problem, cooperative spectrum sensing (CSS) which benefits from the spatial diversity has been studied extensively. Since CSS is vulnerable to the attacks initiated by malicious secondary users (SUs), several secure CSS schemes based on Dempster-Shafer t...

In the current versions of the Dempster-Shafer theory, the only essential restriction on the validity of the rule of combination is that the sources of evidence must be statistically independent. Under this assumption, it is permissible to apply the Dempster-Shafer . rule to two or more distinct probability distributions. An essential step in the Dempster-Shafer rule of combination of evidence ...

The conditioning in the Dempster-Shafer Theory of Evidence has been defined (by Shafer [15] as combination of a belief function and of an ”event” via Dempster rule. On the other hand Shafer [15] gives a ”probabilistic” interpretation of a belief function (hence indirectly its derivation from a sample). Given the fact that conditional probability distribution of a sample-derived probability dist...

We present a Gibbs sampler for the Dempster–Shafer (DS) approach to statistical inference categorical distributions. The DS framework extends Bayesian approach, allows in particular use...