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The article describes the main problems concerned with using expert assessment method in consumer preference researches. The author proved the expediency of using a 3-point measurement scale. The author suggested an algorithm for…

Other Computer Science · Computer Science 2009-06-05 Vasiliy Saiko

This paper proposes an analysis of the effects of consensus and preference aggregation on the consistency of pairwise comparisons. We define some boundary properties for the inconsistency of group preferences and investigate their relation…

Artificial Intelligence · Computer Science 2016-04-06 Matteo Brunelli , Michele Fedrizzi

We argue that the words "objectivity" and "subjectivity" in statistics discourse are used in a mostly unhelpful way, and we propose to replace each of them with broader collections of attributes, with objectivity replaced by transparency,…

Other Statistics · Statistics 2015-08-25 Andrew Gelman , Christian Hennig

Pairwise comparisons are widely used in decision analysis, preference modeling, and evaluation problems. In many practical situations, the observed comparison matrix is not reciprocal. This lack of reciprocity is often treated as a defect…

Machine Learning · Statistics 2026-04-07 Jean-Pierre Magnot

The article is devoted to the problem of inconsistency in the pairwise comparisons based prioritization methodology. The issue of "inconsistency" in this context has gained much attention in recent years. The literature provides us with a…

Artificial Intelligence · Computer Science 2015-10-22 Andrzej Z. Grzybowski

The article proposes a universal dual-axis intelligent systems assessment scale. The scale considers the properties of intelligent systems within the environmental context, which develops over time. In contrast to the frequent consideration…

Artificial Intelligence · Computer Science 2023-08-25 Oleg V. Kubryak , Sergey V. Kovalchuk , Nadezhda G. Bagdasaryan

This paper recalls the definition of consistency for pairwise comparison matrices and briefly presents the concept of inconsistency index in connection to other aspects of the theory of pairwise comparisons. By commenting on a recent…

Artificial Intelligence · Computer Science 2016-03-11 Matteo Brunelli

Similarity is a core notion that is used in psychology and two branches of linguistics: theoretical and computational. The similarity datasets that come from the two fields differ in design: psychological datasets are focused around a…

Computation and Language · Computer Science 2016-06-20 Dmitrijs Milajevs , Sascha Griffiths

Subjective image quality assessment studies are used in many scenarios, such as the evaluation of compression, super-resolution, and denoising solutions. Among the available subjective test methodologies, pair comparison is attracting…

Multimedia · Computer Science 2024-03-19 Shima Mohammadi , João Ascenso

Processing information, acquired by subjective assessments, involves inconsistency analysis in most (if not all) applications of which some are of considerable importance at a national level (see, Koczkodaj/Kulakowski/Ligenza,…

Discrete Mathematics · Computer Science 2015-08-06 W. W. Koczkodaj , J. Szybowski

The advent of large language models (LLMs) offers unprecedented opportunities to reimagine peer review beyond the constraints of traditional workflows. Despite these opportunities, prior efforts have largely focused on replicating…

Computation and Language · Computer Science 2025-09-26 Yaohui Zhang , Haijing Zhang , Wenlong Ji , Tianyu Hua , Nick Haber , Hancheng Cao , Weixin Liang

A principled approach to cyclicality and intransitivity in paired comparison data is developed. The proposed methodology enables more precise estimation of the underlying preference profile and facilitates the identification of all cyclic…

Methodology · Statistics 2025-10-08 Rahul Singh , Ori Davidov

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 pairwise comparisons (PC) method with respect to…

Discrete Mathematics · Computer Science 2019-11-25 Konrad Kułakowski , Anna Prusak , Jacek Szybowski

Independent from the still ongoing research in measuring individual intelligence, we anticipate and provide a framework for measuring collective intelligence. Collective intelligence refers to the idea that several individuals can…

Artificial Intelligence · Computer Science 2013-07-01 Michel Halmes

Owing to the advancement of deep learning, artificial systems are now rival to humans in several pattern recognition tasks, such as visual recognition of object categories. However, this is only the case with the tasks for which correct…

Machine Learning · Computer Science 2019-06-03 Xing Liu , Takayuki Okatani

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 method is based on solving an eigenvalue problem for the…

Discrete Mathematics · Computer Science 2015-09-25 Konrad Kułakowski

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. Inconsistency indices are defined for indicating the overall quality…

Optimization and Control · Mathematics 2015-11-05 Sándor Bozóki , János Fülöp , Attila Poesz

Incomplete pairwise comparison matrices contain some missing judgements. A natural approach to estimate these values is provided by minimising a reasonable measure of inconsistency after unknown entries are replaced by variables. Two widely…

Optimization and Control · Mathematics 2024-02-07 László Csató , Kolos Csaba Ágoston , Sándor Bozóki

This study investigates a powerful model, targeted to subjective assessments, based on pairwise comparisons. It provides a proof that a distance-based inconsistency reduction transforms an inconsistent pairwise comparisons (PC) matrix into…

Discrete Mathematics · Computer Science 2015-05-08 Waldemar W. Koczkodaj , Jacek Szybowski

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 matrices since it has a linear programming problem formulation…

Optimization and Control · Mathematics 2025-04-17 Kolos Csaba Ágoston , Sándor Bozóki , László Csató