6 papers
Incomplete pairwise comparison matrices and their applications
László Csató, László Csató, Sándor Bozóki +1
Incomplete pairwise comparison matrices are increasingly employed to save resources and reduce cognitive load by collecting only a subset of all possible pairwise comparisons. We p…
Theoretical properties of the eigenvector method
Sándor Bozóki, Sándor Bozóki, László Csató +1
A classical proposal to derive weights from a pairwise comparison matrix is the right eigenvector. The literature has identified some potential weaknesses of this method in previou…
An experimental approach: The graph of graphs
Zsombor Szádoczki, Sándor Bozóki, László Sipos +1
One of the essential issues in decision problems and preference modeling is the number of comparisons and their pattern to ask from the decision maker. We focus on the optimal patt…
Geometry of efficient weight vectors
Kristóf Ãbele-Nagy, Sándor Bozóki, Zsombor Szádoczki
Pairwise comparison matrices and the weight vectors obtained from them are important concepts in multi-criteria decision making. A weight vector calculated from a pairwise comparis…
An experimental approach: Converting verbal expressions to numerical scales
Zsombor Szádoczki, Sándor Bozóki, László Sipos +1
One of the key issues in decision problems is the selection and use of the appropriate response scale. In this paper verbal expressions are converted into numerical scales for a su…
The smallest mono-unstable, homogeneous convex polyhedron has at least 7 vertices
Sándor Bozóki, Gábor Domokos, Dávid Papp +1
We prove that every homogeneous convex polyhedron with only one unstable equilibrium (known as a mono-unstable convex polyhedron) has at least vertices. Although it has been lo…