output
20082026
most citedLarge Language Models (LLMs) as Agents for Augmented Democracy

394 citations

Showing math.OCShow all

22 papers · 1 filter

math.OC2025

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…

math.OC2025

Increasing competitiveness by imbalanced groups: The example of the 48-team FIFA World Cup

László Csató, András Gyimesi

A match played in a sports tournament can be called stakeless if at least one team is indifferent to its outcome because it already has qualified or has been eliminated. Such a gam…

math.OC2024★ 4 cited

A clustering approach for pairwise comparison matrices

Kolos Csaba Ágoston, Sándor Bozóki, László Csató

We consider clustering in group decision making where the opinions are given by pairwise comparison matrices. In particular, the k-medoids model is suggested to classify the matric…

math.OC2023★ 9 cited

How to choose a completion method for pairwise comparison matrices with missing entries: An axiomatic result

László Csató

Since there exist several completion methods to estimate the missing entries of pairwise comparison matrices, practitioners face a difficult task in choosing the best technique. Ou…

math.OC2022★ 11 cited

Right-left asymmetry of the eigenvector method: A simulation study

László Csató

The eigenvalue method, suggested by the developer of the extensively used Analytic Hierarchy Process methodology, exhibits right-left asymmetry: the priorities derived from the rig…

math.OC2022★ 6 cited

On the coincidence of optimal completions for small pairwise comparison matrices with missing entries

László Csató, Kolos Csaba Ágoston, Sándor Bozóki

Incomplete pairwise comparison matrices contain some missing judgements. A natural approach to estimate these values is provided by minimising a reasonable measure of inconsistency…

math.OC2022★ 11 cited

The incomplete Analytic Hierarchy Process and Bradley-Terry model: (in)consistency and information retrieval

László Gyarmati, Éva Orbán-Mihálykó, Csaba Mihálykó +2

Several methods of preference modeling, ranking, voting and multi-criteria decision making include pairwise comparisons. It is usually simpler to compare two objects at a time, fur…

math.OC2022★ 16 cited

A lexicographically optimal completion for pairwise comparison matrices with missing entries

Kolos Csaba Ágoston, László Csató

Estimating missing judgements is a key component in many multi-criteria decision making techniques, especially in the Analytic Hierarchy Process. Inspired by the Koczkodaj inconsis…

math.OC2022★ 1 cited

Optimal sequences for pairwise comparisons: the graph of graphs approach

Zsombor Szádoczki, Sándor Bozóki

In preference modelling, it is essential to determine the number of questions and their arrangements to ask from the decision maker. We focus on incomplete pairwise comparison matr…

math.OC2022★ 27 cited

Tournament schedules and incentives in a double round-robin tournament with four teams

László Csató, Roland Molontay, József Pintér

In a round-robin tournament, a team may lack the incentive to win if its final rank does not depend on the outcome of the matches still to be played. This paper introduces a classi…

math.OC2019★ 1 cited

IP Solutions for International Kidney Exchange Programmes

Péter Biró, Márton Gyetvai, Radu Stefan Mincu +2

In kidney exchange programmes patients with end-stage renal failure may exchange their willing, but incompatible living donors among each other. National kidney exchange programmes…

math.OC2019

Incomplete Analytic Hierarchy Process with Minimum Weighted Ordinal Violations

Luca Faramondi, Gabriele Oliva, Sándor Bozóki

Incomplete pairwise comparison matrices offer a natural way of expressing preferences in decision making processes. Although ordinal information is crucial, there is a bias in the…

math.OC2019★ 31 cited

On the monotonicity of the eigenvector method

László Csató, Dóra Gréta Petróczy

Pairwise comparisons are used in a wide variety of decision situations where the importance of alternatives should be measured on a numerical scale. One popular method to derive th…

math.OC2017★ 29 cited

Characterization of the row geometric mean ranking with a group consensus axiom

László Csató

An axiomatic approach is applied to the problem of extracting a ranking of the alternatives from a pairwise comparison ratio matrix. The ordering induced by row geometric mean meth…

math.OC2017★ 63 cited

A characterization of the Logarithmic Least Squares Method

László Csató

We provide an axiomatic characterization of the Logarithmic Least Squares Method (sometimes called row geometric mean), used for deriving a preference vector from a pairwise compar…

math.OC2017★ 65 cited

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…

math.OC2016★ 25 cited

Efficiency analysis of double perturbed pairwise comparison matrices

Kristóf Ábele-Nagy, Sándor Bozóki, Örs Rebák

Efficiency is a core concept of multi-objective optimization problems and multi-attribute decision making. In the case of pairwise comparison matrices a weight vector is called eff…

math.OC2016★ 53 cited

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…

math.OC2015★ 35 cited

Multiple summation inequalities and their application to stability analysis of discrete-time delay systems

Eva Gyurkovics, Krisztina Kiss, Ilona Nagy +1

This paper is devoted to stability analysis of discrete-time delay systems based on a set of Lyapunov-Krasovskii functionals. New multiple summation inequalities are derived that i…

math.OC2015★ 22 cited

Incomplete pairwise comparison matrices and weighting methods

László Csató, Lajos Rónyai

A special class of preferences, given by a directed acyclic graph, is considered. They are represented by incomplete pairwise comparison matrices as only partial information is ava…

math.OC2015★ 21 cited

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…

math.OC2013★ 48 cited

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…