Kernel aggregation functions on finite scales. Constructions from their marginals

被引：19
|
作者：
Mas, M. [1 ]
Monserrat, M. [1 ]
Torrens, J. [1 ]
机构：
[1] Univ Balearic Isl, Dept Math & Comp Sci, Palma de Mallorca 07122, Spain
来源：
FUZZY SETS AND SYSTEMS | 2014年 / 241卷
关键词：
Discrete aggregation function; Kernel aggregation function; Smoothness; Marginal functions; 1-Lipschitz; OPERATORS; UNINORMS; OPERATIONS;
D O I：
10.1016/j.fss.2013.04.005
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The study of discrete aggregation functions (those defined on a finite chain) with some kind of smoothness has been extensively developed in last years. Many different kinds of aggregation functions have been characterized in this context. In this paper discrete aggregation functions with the kernel property (which implies the smoothness property) are investigated. Some properties and characterizations, as well as some construction methods for this kind of discrete aggregation functions are studied. It is also investigated when the marginal functions of a discrete kernel aggregation function fully determine it. (c) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：27 / 40
页数：14
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