An often mentioned obstacle for the use of Dempster-Shafer theory for the handling of uncertainty in expert systems is the computational complexity of the theory. One cause of this complexity is the fact that in Dempster-Shafer theory the evidence is represented by a belief function which is induced by a basic probability assignment, i.e. a probability measure on the powerset of possible answers to a question, and not by a probability measure on the set of possible answers to a question, like in a Bayesian approach. In this paper, we define a Bayesian approximation of a belief function and show that combining the Bayesian approximations of belief functions is computationally less involving than combining the belief functions themselves, while in many practical applications replacing the belief functions by their Bayesian approximations will not essentially affect the result.
In Dempster-Shafer theory it is claimed that the pooling of evidence is reflected by Dempster's rule of combination, provided certain requirements are met. The justification of this claim is problematic, since the existing formulations of the requirements for the use of Dempster's rule are not completely clear. In this paper, randomly coded messages, Shafer's canonical examples for Dempster-Shafer theory, are employed to clarify these requirements and to evaluate Dempster's rule. The range of applicability of Dempster-Shafer theory will turn out to be rather limited. Further, it will be argued that the mentioned requirements do not guarantee the validity of the rule and some possible additional conditions will be described. Acknowledgment: I would like to thank Gerard Renardel de Lavalette for drawing my attention to the problem of justifying Dernpster's rule of combination.
SUMMARYInterpretation of the results of anatomical and embryological studies relies heavily on proper visualization of complex morphogenetic processes and patterns of gene expression in a three-dimensional (3D) context. However, reconstruction of complete 3D datasets is time consuming and often researchers study only a few sections. To help in understanding the resulting 2D data we developed a program (TRACTS) that places such arbitrary histological sections into a high-resolution 3D model of the developing heart. The program places sections correctly, robustly and as precisely as the best of the fits achieved by five morphology experts. Dissemination of 3D data is severely hampered by the 2D medium of print publication. Many insights gained from studying the 3D object are very hard to convey using 2D images and are consequently lost or cannot be verified independently. It is possible to embed 3D objects into a pdf document, which is a format widely used for the distribution of scientific papers. Using the freeware program Adobe Reader to interact with these 3D objects is reasonably straightforward; creating such objects is not. We have developed a protocol that describes, step by step, how 3D objects can be embedded into a pdf document. Both the use of TRACTS and the inclusion of 3D objects in pdf documents can help in the interpretation of 2D and 3D data, and will thus optimize communication on morphological issues in developmental biology.
Telemedicine is becoming widely used in healthcare. Dermatology, because of its visual character, is especially suitable for telemedicine applications. Most common is teledermatology between general practitioners and dermatologists (secondary teledermatology). Another form of the teledermatology process is communication among dermatologists (tertiary teledermatology). The objective of this systematic review is to give an overview of studies on tertiary teledermatology with emphasis on the categories of use. A systematic literature search on tertiary teledermatology studies used all databases of the Cochrane Library, MEDLINE (1966-November 2007) and EMBASE (1980-November 2007). Categories of use were identified for all included articles and the modalities of tertiary teledermatology were extracted, together with technology, the setting the outcome measures, and their results. The search resulted in 1,377 publications, of which 11 were included. Four categories of use were found: getting an expert opinion from a specialized, often academic dermatologist (6/11); resident training (2/11); continuing medical education (4/11); and second opinion from a nonspecialized dermatologist (2/11). Three modalities were found: a teledermatology consultation application (7/11), a Web site (2/11), and an e-mail list (1/11). The majority (7/11) used store-and-forward, and 3/11 used store-and-forward and real-time. Outcome measures mentioned were learning effect (6), costs (5), diagnostic accuracy (1), validity (2) and reliability (2), patient and physician satisfaction (1), and efficiency improvement (3). Tertiary teledermatology's main category of use is getting an expert opinion from a specialized, often academic dermatologist. Tertiary teledermatology research is still in early development. Future research should focus on identifying the scale of tertiary teledermatology and on what modality of teledermatology is most suited for what purpose in communication among dermatologists.
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