On Idempotent Discrete Uninorms

被引：5

作者：

Couceiro, Miguel ^{[1
]}

Devillet, Jimmy ^{[2
]}

Marichal, Jean-Luc ^{[2
]}

机构：

[1] Univ Lorraine, LORIA, CNRS, Inria Nancy Grand Est, BP 239, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Luxembourg, Math Res Unit, Maison Nombre 6,Ave Fonte, L-4364 Esch Sur Alzette, Luxembourg

来源：

AGGREGATION FUNCTIONS IN THEORY AND IN PRACTICE | 2018年 / 581卷

关键词：

FINITE ORDINAL SCALES; OPERATORS; OPERATIONS; CHAIN;

D O I：

10.1007/978-3-319-59306-7_15

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper we provide two axiomatizations of the class of idempotent discrete uninorms as conservative binary operations, where an operation is conservative if it always outputs one of its input values. More precisely we first show that the idempotent discrete uninorms are exactly those operations that are conservative, symmetric, and nondecreasing in each variable. Then we show that, in this characterization, symmetry can be replaced with both bisymmetry and existence of a neutral element.

引用

页码：147 / 153

页数：7

共 15 条

[11] Triangular norms on discrete settings [J].