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pro vyhledávání: '"Krivulin, Nikolai"'
Autor:
Krivulin, Nikolai
Publikováno v:
Soft Comput. 2024. Vol.28, N20. P.12097-12112
We consider a discrete best approximation problem formulated in the framework of tropical algebra, which deals with the theory and applications of algebraic systems with idempotent operations. Given a set of samples of input and output of an unknown
Externí odkaz:
http://arxiv.org/abs/2403.16337
Autor:
Krivulin, Nikolai
Publikováno v:
Mathematics 2023. Vol.11, N18. P.3949. URL:https://www.mdpi.com/2227-7390/11/18/3949
We introduce new discrete best approximation problems, formulated and solved in the framework of tropical algebra, which deals with semirings and semifields with idempotent addition. Given a set of samples, each consisting of the input and output of
Externí odkaz:
http://arxiv.org/abs/2308.07210
Autor:
Krivulin, Nikolai
Publikováno v:
Kybernetika 58(5), 665-690 (2022)
We consider a decision-making problem to evaluate absolute ratings of alternatives that are compared in pairs according to two criteria, subject to box constraints on the ratings. The problem is formulated as the log-Chebyshev approximation of two pa
Externí odkaz:
http://arxiv.org/abs/2301.09208
Autor:
Krivulin, Nikolai
Publikováno v:
Relational and Algebraic Methods in Computer Science, LNCS 14787, Springer, 2024, 193-206
A linear vector equation in two unknown vectors is examined in the framework of tropical algebra dealing with the theory and applications of semirings and semifields with idempotent addition. We consider a two-sided equation where each side is a trop
Externí odkaz:
http://arxiv.org/abs/2210.00384
Autor:
Krivulin, Nikolai
Publikováno v:
Internat. J. Approx. Reason. 2024. Vol.169. P.109168
We consider a decision-making problem to find absolute ratings of alternatives that are compared in pairs under multiple criteria, subject to constraints in the form of two-sided bounds on ratios between the ratings. Given matrices of pairwise compar
Externí odkaz:
http://arxiv.org/abs/2205.10969
Autor:
Krivulin, Nikolai, Sergeev, Sergeĭ
Publikováno v:
Kybernetika 58(5), 816-841 (2022)
We are considering a two-stage optimal scheduling problem, which involves two similar projects with the same starting times for workers and the same deadlines for tasks. It is required that the starting times for workers and deadlines for tasks shoul
Externí odkaz:
http://arxiv.org/abs/2108.06425
Autor:
Krivulin, Nikolai
Publikováno v:
In International Journal of Approximate Reasoning June 2024 169
Autor:
Krivulin, Nikolai
Publikováno v:
Mathematics, 2020, 8(12), 2210
We consider discrete linear Chebyshev approximation problems in which the unknown parameters of linear function are fitted by minimizing the maximum absolute deviation of errors. Such problems find application in the solution of overdetermined system
Externí odkaz:
http://arxiv.org/abs/2011.05460
Autor:
Krivulin, Nikolai
Publikováno v:
Mathematics, 2021, 9(19), 2472
We consider constrained optimization problems defined in the tropical algebra setting on a linearly ordered, algebraically complete (radicable) idempotent semifield (a semiring with idempotent addition and invertible multiplication). The problems are
Externí odkaz:
http://arxiv.org/abs/2002.03168