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Развитие метода анализа иерархий (МАИ)
Открытое образование. 2011. № 2-1. С. 39–48.
Seredenko N.
In the article three combined methods of decision-making, based on the Analytic Hierarchy Process (AHP), are offered. Using these methods it is possible to take into account problem situations and to process the views of several experts. These AHP modifications are adapted to the Expert Decision Support System (EDSS). There is comparative analysis of the results of AHP, combined modifications of AHP and EDSS.
Levashev V., / Series arXiv "math". 2026. No. 2609.06010.
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter.
By analyzing the ...
Added: September 24, 2026
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
Added: September 19, 2026
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.
Anosov flows have a long and rich history, firstly motivated by the
study of geodesic flows in negative curvature surface by Anosov and Sinai.
Not every closed manifold admits an Anosov flow for well-known reasons:
the fundamental group of a 3-manifold M admitting an Anosov flow must
have exponential growth, and M must be universally covered by R3. Nevertheless,
there ...
Added: August 31, 2026
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Konakov V., Kucher D., Mammen E., / Series arXiv "math". 2026. No. 2606.11142v1.
In this paper, we construct strong approximations for discrete-time Markov chains weakly converging to continuous diffusion processes, as well as for their perturbed counterparts. Under the assumption of bounded coefficients, we construct closely coupled versions of these processes on a shared probability space. In particular, for both non-degenerate and degenerate cases, we maximize the probability ...
Added: June 11, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Taletskii D., / Series arXiv "math". 2026.
A vertex subset of a graph is called a \textit{distance-$k$ independent set} if the distance between any two of its distinct vertices is at least $k + 1$. For all $n,k \geq 1$, we determine the minimum possible number of inclusion-wise maximal distance-$k$ independent sets among all $n$-vertex trees. It equals~$n$ if $n \leq k ...
Added: May 1, 2026
Ovcharenko M., / Series arXiv "math". 2026.
We introduce an explicit class of tempered Laurent polynomials in the sense of Villegas and Doran--Kerr in n⩽4 variables including all Landau--Ginzburg models for smooth Fano threefolds with very ample anticanonical class. We check that it contains Landau--Ginzburg models for various Fano fourfolds which are complete intersections in smooth toric varieties and Grassmannians of planes, ...
Added: April 30, 2026
Zlotnik Alexander, / Series arXiv "math". 2026. No. 2602.03481v1.
We deal with the global in time weak solutions to the 1D compressible Navier-Stokes system of equations for large discontinuous initial data and nonhomogeneous boundary conditions of three standard types. We prove the Lipschitz-type continuous dependence of the solution $(\eta,u,\theta)$, in a norm slightly stronger than $L^{2,\infty}(Q)\times L^2(Q)\times L^2(Q)$, on the initial data $(\eta^0,u^0,e^0)$ in a ...
Added: April 18, 2026
Lukinskiy V., Lukinsky V., Bazhina D., AEJ - Alexandria Engineering Journal 2025 No. 125 P. 526–536
The research aims to bridge the gap between theoretical assumptions and the actual behavior of experts in real- world scenarios. This gap has significant practical implications, as it affects the validity of the decisions made using AHP. The adjustments proposed are based on a deep statistical and methodological analysis. The analysis of nearly 500 expert ...
Added: September 1, 2025
Khazieva N., Caganova D., , in: Proceedings of the 21st European Conference on Knowledge Management A Virtual Conference hosted by Coventry University, UK, 2-4 December 2020.: Reading: Academic Conferences International Limited, 2020. P. 924–932.
This article aims to continue research on the issue of knowledge loss. The authors of the paper have found out earlier that in theory knowledge management helps to establish an environment of creation, development, transfer and share of intellectual capital. From their own experience, the authors of the paper have revealed different side: some companies ...
Added: December 10, 2020
Kravchenko T., Shevgunov T., Petrakov A., , in: Advances in Intelligent Systems and ComputingТ. 1226: Proceedings of the 9th Computer Science On-line Conference 2020. Кн. 3: Applied Informatics and Cybernetics in Intelligent Systems.: Springer, 2020. Ch. 51 P. 552–561.
Analytical justification of decision options using decision support
systems (DSS) significantly improves the quality of decisions. The use of the
currently existing DSS, which usually includes one or two decision-making
methods, does not always lead to the desired results, since each method is based
on certain assumptions and is not universal. The noticeable effect is achieved
when many decision-making methods ...
Added: August 25, 2020
Lukinskiy V., Lukinsky V., Bazhina D., , in: Reliability and Statistics in Transportation and Communication Selected Papers from the 18th International Conference on Reliability and Statistics in Transportation and Communication, RelStat’18, 17–20 October 2018, Riga, LatviaIssue 68.: Switzerland: Springer, 2019. P. 374–388.
To date, a diverse array of expert assessments for quantitative
(tangible) and qualitative (intangible) objects based on the analytic hierarchy
process (AHP) has been accumulated in various fields of knowledge. The systematization
and analysis of the collected data made it possible to put forward
the hypothesis that some of the indicators (the eigenvalue of the matrix, the
consistency index, and ...
Added: April 10, 2019
Konstantin Y. Degtiarev, Borisov M., International Journal of the Analytic Hierarchy Process 2018 Vol. 10 No. 3 P. 447–468
The Analytic Hierarchy Process (AHP) is aimed at enabling decision-makers to prioritize alternatives. However, when expert expresses judgments using natural language statements (e.g. words or phrases), they can be interpreted not precisely due to inherent vagueness of the language constructs. Fuzzy Analytic Hierarchy Process (FAHP) can be viewed in the context of the classical AHP ...
Added: December 20, 2018
Lukinskiy V., Lukinsky V., , in: Reliability and Statistics in Transportation and Communication. RelStat 2017. Lecture Notes in Networks and Systems, vol 36. Springer, Cham.: Springer, 2018. P. 284–289.
The most expedient way, in our opinion, to generalize the numerous AHP studies is by the formatting of a morphological
table and the corresponding block diagram. On the basis of the table, it is possible to take into account unobvious
variants that can be missed with a simple search. Thus, the AHP, despite its obvious benefits, requires ...
Added: February 1, 2018
Kravchenko T. K., Прикладная информатика 2017 Т. 12 № 1 (67) С. 102–113
Problem statement: solutions analytical justification by using a decision support system (DSS) significantly increases the quality of decisions. The existing DSS generally employs methods analytic hierarchy process and analytical networks. It does not always lead to the desired results as each method is based on certain assumptions and is not universal. The creation of the ...
Added: June 28, 2017
Kravchenko T. K., Isaev D., М.: Юрайт, 2017.
The textbook focuses on information support of a decision making process: problem statement, typical stages, approaches to modeling of decision making conditions, as well as consequences of different alternatives selection. The role of expert estimates is examined. Such estimated are used for determining probabilities of problem situation, determining experts' coefficients of competency, forming estimates of ...
Added: January 12, 2017
Lukinskiy V., Lukinsky V., Transport and Telecommunication 2015 Vol. 16 No. 4 P. 288–295
The increase of the supply chains efficiency requires optimization of all types of logistic operations and functions. One of
such functions is the choice of intermediaries (carriers, freight forwarders, suppliers, service enterprises etc.) and, according to some specialists, it is a major strategic decision in management supply chains. The methods of choosing the logistic intermediaries are ...
Added: December 26, 2015