Theory of equivalence systems for describing the algebraic closures of a generalized estimation model

被引:0
|
作者
A. G. D’yakonov
机构
[1] Moscow State University,Faculty of Computational Mathematics and Cybernetics
关键词
pattern recognition; classification; estimation algorithms; algebraic approach; algebraic closure; algebra over algorithms; correctness; equivalence;
D O I
暂无
中图分类号
学科分类号
摘要
The recognition problem is considered in which the initial information is given by the values of similarity functions on pairs of objects. A generalization of the estimation algorithm model for this problem is proposed. A theory for the description and analysis of algebraic closures of the generalized and classical models is developed.
引用
收藏
页码:369 / 381
页数:12
相关论文
共 50 条
  • [21] Typical equivalence of linear groups and other algebraic systems
    A. D. Maksimov
    Journal of Mathematical Sciences, 2012, 183 (3) : 397 - 406
  • [22] Generalized closures of rough set theory and formal concept analysis
    Vlach, Milan
    MATHEMATICAL METHODS IN ECONOMICS 2013, PTS I AND II, 2013, : 992 - 997
  • [23] Explanation and estimation of subjective probability by generalized model of Support Theory
    Saito, K
    Shigemasu, K
    JAPANESE JOURNAL OF PSYCHOLOGY, 1997, 68 (03): : 173 - 178
  • [24] ON THE REALIZATION THEORY OF POLYNOMIAL MATRICES AND THE ALGEBRAIC STRUCTURE OF PURE GENERALIZED STATE SPACE SYSTEMS
    Vardulakis, Antonis-Ioannis G.
    Karampetakis, Nicholas P.
    Antoniou, Efstathios N.
    Tictopoulou, Evangelia
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2009, 19 (01) : 77 - 88
  • [25] EQUIVALENCE OF THE 2 DEFINITIONS OF ALGEBRAIC K-THEORY FOR SPACES
    SOLOVEV, JP
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1982, (06): : 8 - 12
  • [26] ELEMENTARY ALGEBRAIC THEORY OF GENERALIZED FINITE AUTOMATA
    WAND, M
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (02): : A325 - A325
  • [27] Algebraic theory of Colombeau's generalized numbers
    Aragona, J.
    Garcia, A. R. G.
    Juriaans, S. O.
    JOURNAL OF ALGEBRA, 2013, 384 : 194 - 211
  • [28] The algebraic structures of generalized rough set theory
    Liu, Guilong
    Zhu, William
    INFORMATION SCIENCES, 2008, 178 (21) : 4105 - 4113
  • [29] EQUIVALENCE BETWEEN THE DISCRETE GAUSSIAN MODEL AND A GENERALIZED SINE-GORDON THEORY ON A LATTICE
    BASKARAN, G
    GUPTE, N
    PHYSICAL REVIEW B, 1984, 30 (01): : 432 - 433
  • [30] Model-free control of mechatronic systems based on algebraic estimation
    das Neves, Gabriel Pereira
    Angelico, Bruno Augusto
    ASIAN JOURNAL OF CONTROL, 2022, 24 (04) : 1575 - 1584