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...

in this paper, we present the numerical solution of ordinary dierential equations (or sdes), from each order especially second-order with time-varying and gaussian random coecients. we indicate a complete analysis for second-order equations in special case of scalar linear second-order equations (damped harmonic oscillators with additive or multi- plicative noises). making stochastic dierent...

in this work, a new iterative method is proposed for obtaining the approximate solution of a class of hammerstein type integral equations system. the main structure of this method is based on the richardson iterative method for solving an algebraic linear system of equations. some conditions for existence and unique solution of this type equations are imposed. convergence analysis and error bou...

We propose a hybrid architecture composed of fully convolutional network (FCN) and Dempster-Shafer layer for image semantic segmentation. In the so-called evidential FCN (E-FCN), an encoder-decoder first extracts pixel-wise feature maps from input image. A then computes mass functions at each pixel location based on distances to prototypes. Finally, utility performs segmentation allows imprecis...

XML is a markup language which is becoming the standard format for information representation and data exchange. A major purpose of XML is the explicit representation of the logical structure of a document. Much research has been performed to exploit logical structure of documents in information retrieval in order to precisely extract user information need from large collections of XML document...

As is well known, Dempster-Shafer theory offers an alternative approach to deal with uncertainty reasoning in expert systems and other fields. In this paper, we present two results that relate to the use of the theory. First, we present and analyze four methods to induce uncerioin rules fvlm a training instance set for Dempster-Shafer theory. This is the first attempt to do so, to the best of o...

World Health Organization reports that African Trypanosomiasis affects mostly poor populations living in remote rural areas of Africa that can be fatal if properly not treated. This paper presents Dempster-Shafer Theory for the detection of African trypanosomiasis. Sustainable elimination of African trypanosomiasis as a public-health problem is feasible and requires continuous efforts and innov...

Three ingredients constitute mathematical models dependent on parameters whose value is uncertain: a convex compact set Uad of admissible parameters a, a state problem A(a)u = f with the a-dependent state u ≡ u(a), and a continuous quantity of interest Ψ (a) = Φ(a,u(a)). In the worst scenario method, the maximum of Ψ over Uad is identified. If the minimum is also found, then the range Ψ |Uad is...

The question of how to represent and process uncertainty is of fundamental importance to the scientific process, but also in everyday life. Currently there exist a lot of different calculi for managing uncertainty, each having its own advantages and disadvantages. Especially, almost all are defining the domain and structure of uncertainty values a priori, e.g., one real number, two real numbers...