activity
20132023
most citedNotes on discrepancy in the pairwise comparisons method

76 citations · 360 across the 21 of their papers we have counts for

collaborators

21 papers

cs.AI2023★ 1 cited

Almost optimal manipulation of a pair of alternatives

Jacek Szybowski, Konrad Kułakowski, Sebastian Ernst

The role of an expert in the decision-making process is crucial, as the final recommendation depends on his disposition, clarity of mind, experience, and knowledge of the problem.…

cs.AI2023★ 10 cited

Towards secure judgments aggregation in AHP

Konrad Kułakowski, Jacek Szybowski, Jiri Mazurek +1

In decision-making methods, it is common to assume that the experts are honest and professional. However, this is not the case when one or more experts in the group decision making…

cs.AI2022

Mean-based incomplete pairwise comparisons method with the reference values

Konrad Kułakowski, Anna Kędzior, Jacek Szybowski +1

In this article, we propose two quantitative methods for calculating weight vectors for incomplete pairwise comparison matrices using reference values. Both procedures are extensio…

cs.AI2022

Multiple-criteria Heuristic Rating Estimation

Anna Kędzior, Konrad Kułakowski

One of the most widespread multi-criteria decision-making methods is the Analytic Hierarchy Process (AHP). AHP successfully combines the pairwise comparisons method and the hierarc…

math.ST2022

Some Notes on the Similarity of Priority Vectors Derived by the Eigenvalue Method and the Geometric Mean Method

Jiří Mazurek, Konrad Kułakowski, Sebastian Ernst +1

This paper examines the differences in ordinal rankings obtained from a pairwise comparison matrix using the eigenvalue method and the geometric mean method. First, we introduce se…

math.OC2021★ 8 cited

On the Derivation of Weights from Incomplete Pairwise Comparisons Matrices via Spanning Trees with Crisp and Fuzzy Confidence Levels

Jiri Mazurek, Konrad Kułakowski

In this paper, we propose a new method for the derivation of a priority vector from an incomplete pairwise comparisons (PC) matrix. We assume that each entry of a PC matrix provide…

cs.DM2020★ 7 cited

On the similarity between ranking vectors in the pairwise comparison method

Konrad Kułakowski, Jiří Mazurek, Michał Strada

There are many priority deriving methods for pairwise comparison matrices. It is known that when these matrices are consistent all these methods result in the same priority vector.…

cs.IT2019

New inconsistency indicators for incomplete pairwise comparisons matrices

Jacek Szybowski, Konrad Kułakowski, Anna Prusak

We introduce two new inconsistency measures for the incomplete pairwise comparisons matrices and show several examples of their calculation. We also carry out a comparative analysi…

cs.DM2019★ 31 cited

On the geometric mean method for incomplete pairwise comparisons

Konrad Kułakowski

When creating the ranking based on the pairwise comparisons very often, we face difficulties in completing all the results of direct comparisons. In this case, the solution is to u…

cs.DM2019★ 38 cited

Inconsistency indices for incomplete pairwise comparisons matrices

Konrad Kułakowski, Dawid Talaga

Comparing alternatives in pairs is a very well known technique of ranking creation. The answer to how reliable and trustworthy ranking is depends on the inconsistency of the data f…

cs.DM2018★ 38 cited

Towards quantification of incompleteness in the pairwise comparisons method

Konrad Kułakowski, Anna Prusak, Jacek Szybowski

Alongside consistency, completeness of information is one of the key factors influencing data quality. The objective of this paper is to define ways of treating missing entries in…

cs.DM2018★ 29 cited

When is the condition of order preservation met?

Konrad Kulakowski, Jiri Mazurek, Jaroslav Ramik +1

This article explores a relationship between inconsistency in the pairwise comparisons method and conditions of order preservation. A pairwise comparisons matrix with elements from…

cs.DM2017★ 48 cited

Inconsistency in the ordinal pairwise comparisons method with and without ties

Konrad Kułakowski

Comparing alternatives in pairs is a well-known method of ranking creation. Experts are asked to perform a series of binary comparisons and then, using mathematical methods, the fi…

cs.DM2016★ 13 cited

Axioms of the Analytic Hierarchy Process (AHP) and its Generalization to Dependence and Feedback: The Analytic Network Process (ANP)

Thomas Saaty, Konrad Kułakowski

The AHP/ANP are multicriteria decision-making theories that deal with both hierarchic structures when the criteria are independent of the alternatives and with networks when there…

cs.DS2015

Dynamic concurrent van Emde Boas array

Konrad Kułakowski

The growing popularity of shared-memory multiprocessor machines has caused significant changes in the design of concurrent software. In this approach, the concurrently running thre…

cs.DM2014★ 16 cited

Heuristic rating estimation - geometric approach

Konrad Kułakowski, Katarzyna Grobler-Dębska, Jarosław Wąs

Heuristic Rating Estimation (HRE) is a newly proposed method supporting decisions analysis based on the use of pairwise comparisons. It allows that the ranking values of some alter…

cs.DM2014★ 8 cited

Notes on the existence of solutions in the pairwise comparisons method using the Heuristic Rating Estimation approach

Konrad Kułakowski

Pairwise comparisons are a well-known method for modelling of the subjective preferences of a decision maker. A popular implementation of the method is based on solving an eigenval…

cs.DM2014★ 20 cited

On the Properties of the Priority Deriving Procedure in the Pairwise Comparisons Method

Konrad Kułakowski

The pairwise comparisons method is a convenient tool used when the relative order of preferences among different concepts (alternatives) needs to be determined. There are several p…

cs.DM2013★ 76 cited

Notes on discrepancy in the pairwise comparisons method

Konrad Kułakowski

The pairwise comparisons method is a convenient tool used when the relative order among different concepts (alternatives) needs to be determined. One popular implementation of the…

cs.LO2013★ 1 cited

Concurrent bisimulation algorithm

Konrad Kułakowski

The coarsest bisimulation-finding problem plays an important role in the formal analysis of concurrent systems. For example, solving this problem allows the behavior of different p…

cs.DM2013★ 16 cited

Heuristic Rating Estimation Approach to The Pairwise Comparisons Method

Konrad Kułakowski

The Heuristic Ratio Estimation (HRE) approach proposes a new way of using the pairwise comparisons matrix. It allows the assumption that the weights of some alternatives (herein re…