132 citations · 377 across the 8 of their papers we have counts for
9 papers
The paxotopy method for finding isolated roots of a system of nonlinear equations
Sándor Bozóki
We focus on systems of nonlinear equations, where some equations are non-polynomial. Building on the remarkable developments in solving polynomial systems during the recent decades…
Mono-monostatic polyhedra with uniform point masses have at least 8 vertices
Sándor Bozóki, Gábor Domokos, Flórián Kovács +1
The monostatic property of convex polyhedra (i.e. the property of having just one stable or unstable static equilibrium point) has been in the focus of research ever since Conway a…
The (logarithmic) least squares optimality of the arithmetic (geometric) mean of weight vectors calculated from all spanning trees for incomplete additive (multiplicative) pairwise comparison matrices
Sándor Bozóki, Vitaliy Tsyganok
Complete and incomplete additive/multiplicative pairwise comparison matrices are applied in preference modelling, multi-attribute decision making and ranking. The equivalence of tw…
An application of incomplete pairwise comparison matrices for ranking top tennis players
Sándor Bozóki, László Csató, József Temesi
Pairwise comparison is an important tool in multi-attribute decision making. Pairwise comparison matrices (PCM) have been applied for ranking criteria and for scoring alternatives…
Efficient weight vectors from pairwise comparison matrices
Sándor Bozóki, János Fülöp
Pairwise comparison matrices are frequently applied in multi-criteria decision making. A weight vector is called efficient if no other weight vector is at least as good in approxim…
An LP-based inconsistency monitoring of pairwise comparison matrices
S. Bozoki, J. Fulop, W. W. Koczkodaj
A distance-based inconsistency indicator, defined by the third author for the consistency-driven pairwise comparisons method, is extended to the incomplete case. The corresponding…
Efficiency analysis of simple perturbed pairwise comparison matrices
Kristóf Ábele-Nagy, Sándor Bozóki
Efficiency, the basic concept of multi-objective optimization is investigated for the class of pairwise comparison matrices. A weight vector is called efficient if no alternative w…
On reducing inconsistency of pairwise comparison matrices below an acceptance threshold
Sándor Bozóki, János Fülöp, Attila Poesz
A recent work of the authors on the analysis of pairwise comparison matrices that can be made consistent by the modification of a few elements is continued and extended. Inconsiste…
Seven mutually touching infinite cylinders
Sándor Bozóki, Tsung-Lin Lee, Lajos Rónyai
We solve a problem of Littlewood: there exist seven infinite circular cylinders of unit radius which mutually touch each other. In fact, we exhibit two such sets of cylinders. Our…