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Fuzzy simulation of discrete systems given over finite fields

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Abstract

Construction of fuzzy arithmetic for finite fields with their elements interpreted as fuzzy numbers is studied. The analogue of the principle of generalizing classical arithmetic for the case of fuzzy real numbers is used as the basis. Ways to apply the proposed arithmetic to solve some problems for discrete systems are given.

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Authors and Affiliations

  1. Moscow State University of Railway Engineering, ul. Chasovaya 22/2, Moscow, 125993, Russia

    D. V. Speranskiy

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  1. D. V. Speranskiy
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Correspondence to D. V. Speranskiy.

Additional information

Original Russian Text © D.V. Speranskiy, 2014, published in Avtomatika i Vychislitel’naya Tekhnika, 2014, No. 1, pp. 49–62.

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Speranskiy, D.V. Fuzzy simulation of discrete systems given over finite fields. Aut. Control Comp. Sci. 48, 37–46 (2014). https://doi.org/10.3103/S0146411614010076

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  • DOI: https://doi.org/10.3103/S0146411614010076

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