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Formalization of Influence Processes of Fuzzy Time Flow on the Solution to Time Resource Distribution Problems

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Cybernetics and Systems Analysis Aims and scope

Abstract

This paper considers an approach to constructing fuzzy structured numerical sets, which is based on the principle of generating a fuzzy preimage with its subsequent replication on the numerical axis. The formalization of a fuzzy preimage consists of determining a fuzzy triangular number with an appropriate support. The option of generating fuzzy number sets that formalize the “fast” and “slow” flow of time is considered. A method is proposed that allows us to formalize the problem of fuzzy description and to take into account the dynamics of the time frame when solving various optimization problems. Examples of the use of the fuzzy flow of time for different statements of problems that arise when determining the order of the set of tasks within the given time interval with or without additional constraints on the execution process are considered. An approach is proposed for the correction of the initial time distribution plans, taking into account different rates of time counting. A method for constructing feasible solutions based on greedy heuristics is formulated.

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

    E. V. Ivohin

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  1. E. V. Ivohin
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Correspondence to E. V. Ivohin.

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Translated from Kibernetyka ta Systemnyi Analiz, No. 3, May–June, 2021, pp. 30–41.

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Ivohin, E.V. Formalization of Influence Processes of Fuzzy Time Flow on the Solution to Time Resource Distribution Problems. Cybern Syst Anal 57, 363–373 (2021). https://doi.org/10.1007/s10559-021-00361-x

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  • DOI: https://doi.org/10.1007/s10559-021-00361-x

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