Operators invariant under finitely many input changes with applications to aggregation of sequences

被引:0
作者
Durante, F. [1 ]
Fernandez Sanchez, J. [2 ]
Ignazzi, C. [3 ]
机构
[1] Univ Salento, Dipartimento Sci Econ, Campus Ecotekne Palazzina C,Via Monteroni 165, I-73100 Lecce, Italy
[2] Univ Almeria, Grp Invest Anal Matemat, E-04120 Almeria, Spain
[3] Univ Salento, Dipartimento Matemat & Fis Ennio Giorgi, Via Arnesano, I-73100 Lecce, Italy
关键词
Additive measure; Aggregation; Choquet integral; Linear functional; Stone-Cech compactification; SETS;
D O I
10.1016/j.ins.2021.01.040
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In the framework of finitely additive measures defined on the power set of an infinite set X, we consider related operators defined on bounded functions on X invariant under finitely many changes of input values. Specifically, we reconsider these operators with an extended use of the concept of filter, which provides novel insights into the problem. Then, we apply the obtained results to the study of the aggregation of infinite sequences. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码:271 / 282
页数:12
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