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Expanding the Possibilities of the Metric Approach Based on the Theory of Means and the Theory of Errors

Authors
  • Sidel’nikov, Yu. V.1, 2
  • 1 Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997, Russia , Moscow (Russia)
  • 2 Moscow Aviation Institute (National Research University), Moscow, 125993, Russia , Moscow (Russia)
Type
Published Article
Journal
Automation and Remote Control
Publisher
Pleiades Publishing
Publication Date
Nov 01, 2021
Volume
82
Issue
11
Pages
1912–1922
Identifiers
DOI: 10.1134/S0005117921110072
Source
Springer Nature
Keywords
Disciplines
  • Article
License
Yellow

Abstract

Abstract It is proposed to expand the capabilities of the metric approach for solving special problems, for example, in scheduling theory, by weakening the requirements for the metric axioms or by introducing probability proximity measures. The author’s results are considered at the junction of the theory of means and the research area dealing with expert error indicators set axiomatically. The result obtained by Academician A.N. Kolmogorov when he considered a system of axioms for deriving an analytical formula for the associative mean is strengthened.

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