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
  • [21] Analysis of periodic linear systems over finite fields with and without Floquet Transform
    Anantharaman, Ramachandran
    Sule, Virendra
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2022, 34 (01) : 67 - 93
  • [22] Factoring polynomials over finite fields
    Ozdemir, Enver
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2021, 17 (07) : 1517 - 1536
  • [23] BIVARIATE TRINOMIALS OVER FINITE FIELDS
    Avendano, Martin
    Martin-Morales, Jorge
    HOUSTON JOURNAL OF MATHEMATICS, 2021, 47 (03): : 535 - 552
  • [24] ON PERMUTATION BINOMIALS OVER FINITE FIELDS
    Ayad, Mohamed
    Belghaba, Kacem
    Kihel, Omar
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2014, 89 (01) : 112 - 124
  • [25] Hypergeometric functions over finite fields
    Otsubo, Noriyuki
    RAMANUJAN JOURNAL, 2024, 63 (01) : 55 - 104
  • [26] Stable polynomials over finite fields
    Gomez-Perez, Domingo
    Nicolas, Alejandro P.
    Ostafe, Alina
    Sadornil, Daniel
    REVISTA MATEMATICA IBEROAMERICANA, 2014, 30 (02) : 523 - 535
  • [27] Numerical ranges over finite fields
    Coons, Jane Ivy
    Jenkins, Jack
    Knowles, Douglas
    Luke, Rayanne A.
    Rault, Patrick X.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 501 : 37 - 47
  • [28] Synchronization of networks over finite fields
    Meng, Min
    Li, Xiuxian
    Xiao, Gaoxi
    AUTOMATICA, 2020, 115 (115)
  • [29] Dickson polynomials over finite fields
    Wang, Qiang
    Yucas, Joseph L.
    FINITE FIELDS AND THEIR APPLICATIONS, 2012, 18 (04) : 814 - 831
  • [30] IRREDUCIBILITY CRITERION OVER FINITE FIELDS
    Chandoul, A.
    Jellali, M.
    Mkaouar, M.
    COMMUNICATIONS IN ALGEBRA, 2011, 39 (09) : 3133 - 3137