Abstract
Problem statement: the construction of adequate models of a complex system is an integral part of the process when searching for optimal or best solutions in situational control of a group of intelligent electromechanical robots (SEMS). In many cases, the behavior of the SEMS group in the environment of choice is not fully defined. One of the effective ways to overcome uncertainties is the use of various fuzzy mathematical models and binary relations in the search for the best solutions in group control systems. Purpose of research: development of methods for using binary relations to find the best solutions in situational management of the SEMS group. Results: mathematical methods for assessing the adequacy of the logical-interval, logical-probabilistic and logical-linguistic SEMS models are considered; Methods for assessing the proximity of a decision to a reference solution based on the use of binary relations and mathematical programming, mathematical programming in ordinal scales, and generalized mathematical programming are proposed and analyzed. Practical significance: the research results can be used to assess the adequacy of various models for making optimal decisions in situational control of the SEMS group.
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The present work was supported by the Ministry of Science and Higher Education within the framework of the Russian State Assignment under contract No. AAA-A19-119120290136-9 and is supported by grants RFBR No. 18-01-00076 and No. 19-08-00079.
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Gorodetskiy, A.E., Kurbanov, V.G., Tarasova, I.L. (2021). Using Binary Relationships in Decision Making. In: Gorodetskiy, A.E., Tarasova, I.L. (eds) Smart Electromechanical Systems. Studies in Systems, Decision and Control, vol 352. Springer, Cham. https://doi.org/10.1007/978-3-030-68172-2_3
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