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

页码：245 / 256

页数：11

共 50 条

[21] Axiomatizations of Lovasz extensions of pseudo-Boolean functions
Couceiro, Miguel
Marichal, Jean-Luc
FUZZY SETS AND SYSTEMS, 2011, 181 (01) : 28 - 38
[22] Axiomatizations of quasi-Lovasz extensions of pseudo-Boolean functions
Couceiro, Miguel
Marichal, Jean-Luc
AEQUATIONES MATHEMATICAE, 2011, 82 (03) : 213 - 231
[23] Cauchy type functional equations related to some associative rational functions
Domanska, Katarzyna
ANNALES UNIVERSITATIS PAEDAGOGICAE CRACOVIENSIS-STUDIA MATHEMATICA, 2019, 18 (01) : 145 - 156
[24] On the relationship between hypergeometric functions and some multivalued functions
Artem'eva, SV
Burmann, HW
DIFFERENTIAL EQUATIONS, 2004, 40 (06) : 892 - 895
[25] On the Relationship Between Hypergeometric Functions and Some Multivalued Functions
S. V. Artem'eva
H.-W. Burmann
Differential Equations, 2004, 40 : 892 - 895
[26] On Characterization Determining Entire Functions and Consistent with Riman's Type Equation Dirichlet's Series with Finetly-Valued Coefficients
Kuznetsov, V. N.
Polyakova, O. A.
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2011, 11 (03): : 21 - 25
[27] Axiomatizations of quasi-Lovász extensions of pseudo-Boolean functions
Miguel Couceiro
Jean-Luc Marichal
Aequationes mathematicae, 2011, 82 : 213 - 231
[28] RETRACTED ARTICLE: Approximation of analytic functions by bessel functions of fractional order
S.-M. Jung
Ukrainian Mathematical Journal, 2012, 63 : 1933 - 1944
[29] The structure of rigid functions
Balka, Richard
Elekes, Marton
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (02) : 880 - 888
[30] Migrativity of aggregation functions
Bustince, H.
Montero, J.
Mesiar, R.
FUZZY SETS AND SYSTEMS, 2009, 160 (06) : 766 - 777

← 1 2 3 4 5 →