Aggregation functions and contradictory information

Ana Pradera; Gleb Beliakov; Humberto Bustince

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Aggregation functions and contradictory information

机译：聚合功能和矛盾信息

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摘要

The aim of this paper is to analyze the behavior of aggregation functions when the inputs are contradictory. This may be a useful criterion helping to choose the most appropriate function for solving a given problem. With that goal, bivariate aggregation functions are classified depending on the output they associate to contradictory couples of the form (x, N(x)), where N is a strong negation. The main properties of the newly defined classes are studied. Examples of functions in each class are provided, paying special attention to the most important families of aggregation functions, such as t-norms, copulas, symmetric sums, uninorms or nullnorms.

机译：本文的目的是分析当输入矛盾时聚合函数的行为。这可能是有用的标准，有助于选择最合适的功能来解决给定的问题。出于这个目标，根据双变量聚合函数将它们与形式为（x，N（x））的矛盾对相关联的输出进行分类，其中N是一个强负数。研究了新定义的类的主要属性。提供了每个类别中函数的示例，并特别注意了最重要的聚合函数族，例如t范数，copulas，对称和，单项或零范数。

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来源
《Fuzzy sets and systems》 |2012年第2012期|p.41-61|共21页
作者
Ana Pradera; Gleb Beliakov; Humberto Bustince;
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作者单位

Depctrtawento de Cicncias de la Computation, Universidad Rev Juan Carlos, 2H933 Mosioles, Madrid, Spain;

School of Information Technology, Deakin University, 221 Burwood Hwy, Bitrwood 3125, Australia;

Departamento de Automdtica y Computacion, Universidad Ptiblica de Nuvarra, Campus Arrosadia s. P.O. Box 31006, Pamplona, Spain;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
aggregation functions; strong negations; contradictory information; bipolar aggregation;

机译：聚合功能;强烈的否定;矛盾的信息;双极聚集;

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Aggregation functions and contradictory information

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