标题： 基于拟线性均值及相关族的可接受对的聚合函数 显示英文标题

标题： On admissible pairs of aggregation functions based on quasi-linear means and related families

摘要： 可接受顺序在对单位区间的子区间进行排序中起着关键作用。 2013年，Bustince等人提出了通过可接受的聚合函数对来构建此类关系的方法。 文献中唯一的显著例子是具有不同权重的加权算术平均数对。 在本文中，我们提出了一种构建聚合函数可接受对的方法，这使我们能够验证各种函数类的可接受性，包括准线性均值、阿基米德t-范数（和t-余范数），以及某些严格Schur凸（或Schur凹）函数。 此外，我们研究了由聚合函数可接受对生成的可接受顺序与（{\alpha }，\b{eta}）顺序之间的关系，确定了这两个概念不一致的情况。 显示英文摘要

摘要： Admissible orders play a key role in ranking subintervals of the unit interval. In 2013, Bustince et al. proposed constructing such relations by means of admissible pairs of aggregation functions. The only significant example in the literature is a pair of weighted arithmetic means with different weights. In this paper, we present a method for constructing admissible pairs of aggregation functions, which allows us to verify the admissibility of various function classes, including quasi-linear means, Archimedean t-norms (and t-conorms), and certain strictly Schur-convex (or Schur-concave) functions. Furthermore, we examine the relationship between admissible orders generated by admissible pairs of aggregation functions and the ({\alpha}, \b{eta})-order, identifying cases where these two notions do not coincide.