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Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators

机译:定向,有序方向和加强线性和有序线性融合运营商的有序方向升高的方向

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In this work we discuss the forms of monotonicity that have been recently introduced to relax the monotonicity condition in the definition of aggregation functions. We focus on directional, ordered directional and strengthened ordered directional monotonicity, study their main properties and provide some results about their links and relations among them. We also present two families of functions, the so-called linear fusion functions and ordered linear fusion functions and we study the set of directions for which these types of functions are directionally, ordered directionally and strengthened ordered directionally increasing. In particular, OWA operators are an example of ordered linear fusion functions.
机译:在这项工作中,我们讨论最近引入的单调性的形式,以放宽聚集函数的定义中的单调性条件。我们专注于方向,有序的定向和加强有序定向单调性,研究其主要属性,并提供一些关于他们的联系和关系的结果。我们还提供了两个功能系列,所谓的线性融合功能和有序的线性融合功能,并且我们研究了这些类型的功能方向定向,方向上排序并加强顺序地增加的方向的一组方向。特别是,OWA运算符是有序线性融合功能的示例。

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