<p>This overview is focused on the book reflecting research results on the fundamentals of the theory of multicriteria (multiobjective and multiattribute) decision-making under conditions of uncertainty. The facet of uncertainty is formalized based on a possibilistic (not probabilistic) approach. These results are based on the fuzzy set theory and its fusion with other branches of mathematics of uncertainty. The overview identifies the crucial arguments behind the ultimate need for this theory, reflects the book’s primary objectives, identifies the key possibilities delivered by the presented book's results, and elaborates on real-world problems solved by applying the findings reported in the book. The thorough critical analysis summarizes the advantages and limitations of the main results covered by the book.</p>