Dempster-Shafer theory is one of the main tools for reasoning about data obtained from multiple sources, subject to uncertain information. In this work abstract algebraic properties of the Dempster-Shafer set of mass assignments are investigated and compared with the properties of the Bayes set of probabilities. The Bayes set is a special case of the Dempster-Shafer set, where all non-singleton...

We revisit Zadeh's notion of "evidence the second kind" and show that it provides foundation for a general theory epistemic random fuzzy sets, which generalizes both Dempster-Shafer belief functions possibility theory. In this perspective, deals with generated by while induced sets. The more allows us to represent combine evidence is uncertain fuzzy. demonstrate application formalism statistica...

In this paper, a hybrid identity fusion model at decision level is proposed for Simultaneous Threat Detection Systems. The hybrid model is comprised of mathematical and statistical data fusion engines; Dempster Shafer, Extended Dempster and Generalized Evidential Processing (GEP). Simultaneous Threat Detection Systems improve threat detection rate by 39%. In terms of efficiency and performance,...

The goal of this paper is to study the connection between Dempster-Shafer theory and probabilistic argumentation systems. By introducing a general method to translate probabilistic argumentation systems into corresponding Dempster-Shafer belief potentials, its contribution is twofold. On the one hand, the paper proposes probabilistic argumentation systems as a convenient and powerful modeling l...

Although UNIX is considered a very stable and secure platform, the development of Intrusion Detection Systems (IDS) is essential as current and future generations of hackers are continuously attempting to undermine its integrity. The empirical experiment of multiple simultaneous threat detection system proved that use of hybrid data fusion model of Bayesian, Dempster Shafer and extended Dempste...

This paper presents an applied practical comparison of Bayesian and Dempster-Shafer techniques useful for managing uncertainty in sensing. Three formulations of the same example are presented: a Bayesian, a naive Dempster-Shafer, and a Dempster-Shafer approach using a reened frame of discernment. Both the Bayesian and Dempster-Shafer (with a reened frame of discernment) yield similar results; h...

The goal of this paper is to study the connection between Dempster-Shafer theory and probabilistic argumentation systems. By introducing a general method to translate probabilistic argumentation systems into corresponding Dempster-Shafer belief potentials, its contribution is twofold. On the one hand, the paper proposes probabilistic argumentation systems as a convenient and powerful modeling l...

A method of diagnosis support allowing analogous consideration of fuzzy, scaled and precise medical parameters in reasoning is proposed in the paper. The method is based on Dempster-Shafer theory of evidence and makes it possible to represent conformity of patient’s findings with symptoms in diagnostic rules. Theoretical discussion is illustrated by an example.

This paper aims at providing a preliminary discussion on how to deal with spatio-temporal information in the context of behaviour recognition. It draws comparison with how humans reason in other areas, such as law, and discusses some of the pros and cons of formalisms for handling uncertainty, starting with probability theory, continuing with the Dempster-Shafer theory, and concluding with fuzz...