  The article provides a review of the publications on the current trends and
developments in Dempster-Shafer theory and its different applications in
science, engineering, and technologies. The review took account of the
following provisions with a focus on some specific aspects of the theory.
Firstly, the article considers the research directions whose results are known
not only in scientific and academic community but understood by a wide circle
of potential designers and developers of advanced engineering solutions and
technologies. Secondly, the article shows the theory applications in some
important areas of human activity such as manufacturing systems, diagnostics of
technological processes, materials and products, building and construction,
product quality control, economic and social systems. The particular attention
is paid to the current state of research in the domains under consideration
and, thus, the papers published, as a rule, in recent years and presenting the
achievements of modern research on Dempster-Shafer theory and its application
are selected and analyzed.
