A Characterization of Barycentrically Preassociative Functions

被引：0
|
作者：
Jean-Luc Marichal
Bruno Teheux
机构：
[1] University of Luxembourg,Mathematics Research Unit, FSTC
来源：
Results in Mathematics | 2016年 / 69卷
关键词：
Associativity; barycentric associativity; barycentric preassociativity; string functions; functional equation; axiomatization; 39B72;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We provide a characterization of the variadic functions which are barycentrically preassociative as compositions of length-preserving associative string functions with one-to-one unary maps. We also discuss some consequences of this characterization.
引用
收藏
页码：245 / 256
页数：11
相关论文
共 50 条
  • [1] A Characterization of Barycentrically Preassociative Functions
    Marichal, Jean-Luc
    Teheux, Bruno
    RESULTS IN MATHEMATICS, 2016, 69 (1-2) : 245 - 256
  • [2] Barycentrically associative and preassociative functions
    Marichal, J. -L.
    Teheux, B.
    ACTA MATHEMATICA HUNGARICA, 2015, 145 (02) : 468 - 488
  • [3] Barycentrically associative and preassociative functions
    J. -L. Marichal
    B. Teheux
    Acta Mathematica Hungarica, 2015, 145 : 468 - 488
  • [4] Strongly barycentrically associative and preassociative functions
    Marichal, Jean-Luc
    Teheux, Bruno
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 437 (01) : 181 - 193
  • [5] Preassociative aggregation functions
    Marichal, Jean-Luc
    Teheux, Bruno
    FUZZY SETS AND SYSTEMS, 2015, 268 : 15 - 26
  • [6] Associative and preassociative functions
    Jean-Luc Marichal
    Bruno Teheux
    Semigroup Forum, 2014, 89 : 431 - 442
  • [7] Associative and preassociative functions
    Marichal, Jean-Luc
    Teheux, Bruno
    SEMIGROUP FORUM, 2014, 89 (02) : 431 - 442
  • [8] Preassociative Aggregation Functions
    Marichal, Jean-Luc
    Teheux, Bruno
    INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS, PT III, 2014, 444 : 327 - 334
  • [9] A classification of barycentrically associative polynomial functions
    Marichal, Jean-Luc
    Mathonet, Pierre
    Tomaschek, Joerg
    AEQUATIONES MATHEMATICAE, 2015, 89 (05) : 1281 - 1291
  • [10] A classification of barycentrically associative polynomial functions
    Jean-Luc Marichal
    Pierre Mathonet
    Jörg Tomaschek
    Aequationes mathematicae, 2015, 89 : 1281 - 1291
12345