Ещё раз о некорректности метода сравнения иерархий

В. В. Подиновский; О. В. Подиновская

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Ещё раз о некорректности метода сравнения иерархий

Проблемы управления. 2012. № 4. С. 75–78.

Podinovskiy V. V., Подиновская О. В.

In authors' previous paper published in 2011 in «Control Sciences» journal one example of a bi-criterion decision analysis problem demonstrating that the use of Analytic Hierarchy Process (AHP) may lead to a clearly erroneous result is given. However, the author of another paper published in 2012 in the same journal suggested that he found an error in our use of AHP and, consequently, our criticism of AHP is unsubstantiated. In this new paper the authors show that there was no mistake in the use of AHP in their original counter-example, and provide two further counter-examples that support their original conclusion.

Priority areas: IT and mathematics business informatics

Language: Russian

Keywords: метод анализа иерархий multiple criteria decision making analytic hierarchy process descriptive and normative approaches ratio scale priorities of variants measurement theory принятие многокритериальных решений дескриптивный и нормативный подходы шкала отношений приоритеты вариантов теория измерений

Natural hazard database from Internet publications: text mining with a large language model

Derkacheva A., Sakirkina M., Kraev G. et al., /. 2026.

Comprehensive data on natural hazards and their consequences are crucial for effective for risk assessment, adaptation planning, and emergency response. However, many countries face challenges with fragmented, inconsistent, and inaccessible data, particularly regarding local-scale events. To address this data gap in Russia, we developed an end-to-end processing pipeline that scrapes news from various online sources, ...

Added: April 28, 2026

Ising models on the hydrogen peroxide and other lattices

Qin X., Deng Y., Shchur L. et al., / Series arXiv "math". 2026. No. 2603.02962.

We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dimensions. As expected, the critical exponents agree with the three-dimensional Ising universality class for all models. The irrelevant field, as revealed by the correction-to-scaling amplitudes, appears to ...

Added: April 20, 2026

Algorithmic overlaps as thermodynamic variables: from local to cluster Monte Carlo dynamics in critical phenomena

Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.

We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...

Added: April 20, 2026

Using predefined vector systems to speed up neural network multimillion class classification

Gabdullin N., Androsov I., / Series Computer Science "arxiv.org". 2026.

Label prediction in neural networks (NNs) has O(n) complexity proportional to the number of classes. This holds true for classification using fully connected layers and cosine similarity with some set of class prototypes. In this paper we show that if NN latent space (LS) geometry is known and possesses specific properties, label prediction complexity can ...

Added: April 2, 2026

Iterative Ricci-Foster Curvature Flow with GMM-Based Edge Pruning: A Novel Approach to Community Detection

Sorokin K., Beketov M., Онучин А. et al., / arxiv.org. Серия cs.SI "Social and Information Networks ". 2025.

Community detection in complex networks is a fundamental problem, open to new approaches in various scientific settings. We introduce a novel community detection method, based on Ricci flow on graphs. Our technique iteratively updates edge weights (their metric lengths) according to their (combinatorial) Foster version of Ricci curvature computed from effective resistance distance between the ...

Added: January 15, 2026

Implementing Transport Coding in OMNeT++ for Message Delay Reduction

Petrovanov I., Sergeev A., / Series Computer Science "arxiv.org". 2025. No. 2512.18332.

Transport coding reduces message delay in packet-switched networks by introducing controlled redundancy at the transport layer: original packets are encoded into coded packets, and the message is reconstructed after the first successful deliveries, effectively shifting latency from the maximum packet delay to the -th order statistic. We present a concise, reproducible discrete-event implementation of transport coding in OMNeT++, including ...

Added: December 24, 2025

Hessian-based lightweight neural network for brain vessel segmentation on a minimal training dataset

Меньшиков И. А., Бернадотт А. К., Elvimov N. S., / Series arXie "Statistical mechanics". 2025.

Accurate segmentation of blood vessels in brain magnetic resonance angiography (MRA) is essential for successful surgical procedures, such as aneurysm repair or bypass surgery. Currently, annotation is primarily performed through manual segmentation or classical methods, such as the Frangi filter, which often lack sufficient accuracy. Neural networks have emerged as powerful tools for medical image ...

Added: December 1, 2025

Determining the boundary of dynamical chaos in the generalized Chirikov map via machine learning

Чернышов Д. П., Satanin A., Shchur L., / Series arXiv "math". 2025.

We investigate the boundary separating regular and chaotic dynamics in the generalized Chirikov map, an extension of the standard map with phase-shifted secondary kicks. Lyapunov maps were computed across the parameter space (K,K(α, τ)) and used to train a convolutional neural network (ResNet18) for binary classification of dynamical regimes. The model reproduces the known critical ...

Added: November 21, 2025

Эффективный алгоритм торговли на фондовом рынке: ретроспективный анализ, основанный на данных по S&P-500.

Rubchinskiy A., Chubarova D., / Series WP7 "Математические методы анализа решений в экономике, бизнесе и политике". 2025. No. WP7/2025/01.

The article examines one of the most famous examples of socio-economic systems, characterized by significant uncertainty – the S&P-500 stock market, where shares of 500 largest US companies are traded. No assumptions are made about the probabilistic characteristics of the stock market. A flexible algorithm for daily trading has been developed, based on both known fixed data ...

Added: November 9, 2025

Diffusion on language model embeddings for protein sequence generation

Meshchaninov V., Strashnov, P., Shevtsov A. et al., / Cornell University. Серия CoRR, arXiv:2403.03726 "Computing Research Repository,". 2025.

Protein design requires a deep understanding of the inherent complexities of the protein universe. While many efforts lean towards conditional generation or focus on specific families of proteins, the foundational task of unconditional generation remains underexplored and undervalued. Here, we explore this pivotal domain, introducing DiMA, a model that leverages continuous diffusion on embeddings derived ...

Added: October 5, 2025

Smoothie: Smoothing Diffusion on Token Embeddings for Text Generation

Shabalin A., Meshchaninov V., Vetrov D., / Series cs.CL, arXiv:2505.18853 "Computation and Language". 2025.

Diffusion models have achieved state-of-the-art performance in generating images, audio, and video, but their adaptation to text remains challenging due to its discrete nature. Prior approaches either apply Gaussian diffusion in continuous latent spaces, which inherits semantic structure but struggles with token decoding, or operate in categorical simplex space, which respect discreteness but disregard semantic ...

Added: October 5, 2025

A Feature Engineering Framework for Computer Vision Based on Topological Data Analysis

Абрамов А. С., Chernyshev V. L., Mikhaylets E. et al., / Series Social Science Research Network "Social Science Research Network". 2025.

Computer vision is one of the most relevant modern research areas with broad practical applications. However, traditional solutions based on deep learning have signicant limitations and can be misleading. Topological data analysis, on the other hand, is a modern approach to solving similar problems using mathematically deterministic methods of algebraic topology that reduce the risk ...

Added: September 23, 2025

Оценка моделей LLM по степени готовности решать задачи управления в области ESG

Storchevoy M., Mylnikov L., Чернышев В. В. et al., / SSRN. Серия "Working Papers". 2025.

Внимание к охране природы принимает все большую значимость для бизнеса с одной стороны в связи с ужесточением в природоохранном законодательстве, а с другой в связи с использованием ESG рейтингов при принятии решений о коммерческой деятельности компаний. Составление рейтинга LLM систем, способных оказывать консультационные услуги в области природоохраны и ESG, позволяет осуществить выбор такой системы для ...

Added: September 18, 2025

On the construction of frieze patterns from partitions of convex polygons by nonintersecting diagonals

Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 07600.

We demonstrate in an elementary way how to construct a frieze pattern of width m-3 from a partition of a convex m-gon by not intersecting diagonals. ...

Added: September 17, 2025

On one property of Catalan numbers

Kochetkov Y., / Series arXiv.org e-print archive "arXiv.math". 2025. No. 20584.

We give a new proof of the following statement: the Catalan number C_n is divisible by n+2, if n is odd and n<> 3k+1. ...

Added: September 9, 2025

Многокритериальные задачи с упорядоченными по важности группами критериев

Нелюбин А. П., В.В. Подиновский, Автоматика и телемеханика 2022 № 7 С. 119–136

Разработана постановка задачи принятия решений при наличии информации о важности групп критериев: введены определения отношения важности групп критериев и коэффициентов важности, введены отношения предпочтения на основе такой информации. Указаны способы проверки непротиворечивости информации о важности, указаны пути построения введенных отношений предпочтения. Раскрыта взаимосвязь качественной важности и качественной вероятности. ...

Added: July 20, 2022

A-Subgame Concept and the Solutions Properties for Multistage Games with Vector Payoffs

Kuzyutin D., Yaroslavna Pankratova, Светлов Р., , in: Frontiers of Dynamic Games, Game Theory and Management, St. Petersburg, 2018.: Birkhäuser, 2019. P. 85–102.

We deal with multistage multicriteria games in extensive form and employ so-called “A-subgame” concept to examine dynamical properties of some non-cooperative and cooperative solutions. It is proved that if we take into account only the active players at each A-subgame the set of all strong Pareto equilibria is time consistent but does not satisfy dynamical ...

Added: October 5, 2019

Приоритеты формирования экспортно ориентированной стратегии развития отрасли (на примере птицеводства)

Dagaev A., Ефремова А. А., ЭКО 2019 № 10 С. 131–147

The article deals with an exigent problem of choosing a strategy for industry development, considering a wide range of possible government regulation measures. The definition of a limited set of most effective measures is carried out by joint application of SWOT-analysis and the hierarchy analysis method (AHP). Illustrations of this approach are demonstrated in the ...

Added: September 25, 2019

К ВОПРОСУ О ФОРМИРОВАНИИ СЕТИ ЛОГИСТИЧЕСКИХ ЦЕНТРОВ В РЕСПУБЛИКЕ ВЬЕТНАМ (ЧАСТЬ I)

Prokhorov V., Чирухин В. А., Хамидуллина Ж. Ф., Логистика 2018 № 11(144) С. 36–40

In present article, problems of a logistical centers network formation in republic Vietnam are considered. The combined technique to determine the best location for logistical center based on rating estimations and the modified analytic hierarchy process is approved ...

Added: January 22, 2019

СУЖДЕНИЯ К ВОПРОСУ О ФОРМИРОВАНИИ СЕТИ ЛОГИСТИЧЕСКИХ ЦЕНТРОВ В РЕСПУБЛИКЕ ВЬЕТНАМ ЧАСТЬ II

Prokhorov V., Чирухин В. А., Хамидуллина Ж. Ф., Логистика 2018 № 12(145) С. 40–45

Added: January 22, 2019

Evaluation of Electrical Energy Storage (EES) technologies for renewable energy: A case from the US Pacific Northwest

Kim J., Suharto Y., Daim T., Journal of Energy Storage 2017 Vol. 11 P. 25–54

Increase in use of renewable energy such as solar and wind has created challenges in balancing load. Renewable energy intermittency can be addressed with different solutions and technologies. Using Electric Energy Storage (EES) has been an approach which has been studied extensively in the recent years. This paper reviews the storage technologies leveraging both technical ...

Added: September 27, 2018

Применение многокритериальных моделей принятия решений в задачах дислокации складов в цепях поставок

Bochkarev A. A., Кузьмина Я. В., Логистика 2017 № 12 С. 36–43

Is considered possibilities of application of the method of the Analytic Hierarchy Process for the solu-tion of the problem on optimum dislocation of warehouses in supply chains. The solution of this problem in the conditions of extension of the sales network, in our judgement, can be considered as the part of wider algorithm of optimization ...

Added: September 22, 2018

Методологический подход к выбору информационно-технологической основы системы информационного взаимодействия органов военного управления

Yampolsky S., Наукоемкие технологии в космических исследованиях Земли 2018 Т. 10 № 4 С. 83–92

The information security and rationality of strategic decisions made by the military command are largely dependent on information interaction between them, the essence of which is the exchange of information necessary for the effective integrated use of forces, assets and resources in the interests of national defense and security.To ensure the timely provision of management ...

Added: September 1, 2018

Составление матриц парных сравнений на основе свойств согласованных матриц.

Чирухин В. А., Prokhorov V., В кн.: Логистика: современные тенденции развития: материалы XVI Междунар. науч.-практ. конф. 6, 7 апреля 2017 г. Ч.2Ч. 2.: СПб.: ГУМРФ имени адмирала С.О. Макарова, 2017. С. 172–175.

At realization of Saaty method the basic difficulty is to create the matrixes of pair-wise comparisons with the consistency judgements higher of fourth order is. In this article the method based on properties of coordinated matrixes to solve this problem is de-scribed. ...

Added: December 1, 2017