Fuzzy Simulation of Discrete Systems Given over Finite Fields

被引:0
|
作者
Speranskiy, D. V. [1 ]
机构
[1] Moscow State Univ Railway Engn, Ul Chasovaya 22-2, Moscow 125993, Russia
关键词
finite fields; fuzzy numbers; fuzzy simulation; discrete systems;
D O I
10.3103/S0146411614010076
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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.
引用
收藏
页码:37 / 46
页数:10
相关论文
共 50 条
  • [31] Superregular Matrices over Finite Fields
    Almeida, Paulo
    Beltra, Miguel
    Napp, Diego
    MATHEMATICS, 2025, 13 (07)
  • [32] Symmetric polynomials over finite fields
    Domokos, Matyas
    Miklosi, Botond
    FINITE FIELDS AND THEIR APPLICATIONS, 2023, 89
  • [33] Hypergeometric functions over finite fields
    Noriyuki Otsubo
    The Ramanujan Journal, 2024, 63 : 55 - 104
  • [34] Stable binomials over finite fields
    Fernandes, Arthur
    Panario, Daniel
    Reis, Lucas
    FINITE FIELDS AND THEIR APPLICATIONS, 2025, 101
  • [35] On coefficients of polynomials over finite fields
    Muratovic-Ribic, Amela
    Wang, Qiang
    FINITE FIELDS AND THEIR APPLICATIONS, 2011, 17 (06) : 575 - 599
  • [36] Rank Minimization over Finite Fields
    Tan, Vincent Y. F.
    Balzano, Laura
    Draper, Stark C.
    2011 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT), 2011, : 1195 - 1199
  • [37] Exponential Sums over Finite Fields
    Wan Daqing
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 34 (04) : 1225 - 1278
  • [38] On group automata over finite fields
    Kelarev, AV
    FINITE FIELDS AND THEIR APPLICATIONS, 2004, 10 (01) : 65 - 71
  • [39] Hypergeometric Functions Over Finite Fields
    Fuselier, Jenny
    Long, Ling
    Ramakrishna, Ravi
    Swisher, Holly
    Tu, Fang-Ting
    MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 280 (1382) : 1 - +
  • [40] A new fuzzy simulation for fuzzy systems
    Zhang, Jie
    Proceedings of the Sixth International Conference on Information and Management Sciences, 2007, 6 : 621 - 629