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Impact of weights on conjunctive and disjunctive aggregation of extended possibilistic truth values

机译：权重对扩展的可能真值的合取和合取聚合的影响

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摘要

Extended possibilistic truth values are a flexible means to model the certainty or uncertainty about the truth value of a proposition. With respect to flexible database querying, they are suited to express the extent to which a database instance satisfies a query condition. Since a flexible query can impose several conditions, each with different importance, weighted aggregation is necessary. In this paper, weighted aggregation of extended possibilistic truth values is presented. The impact of the weights on extended possibilistic truth values in both conjunctive and disjunctive aggregation is handled. It is illustrated that the different aggregation types require a different approach. Special care is given to the case where both conjunctive and disjunctive aggregation are mixed together. It is shown that the weights will have to be propagated throughout the calculations, but that this can cause basic properties, like associativity, to get lost. The problems that can arise are illustrated and solutions are proposed.
机译：扩展的可能真值是一种灵活的方法，可以对命题真值的确定性或不确定性进行建模。关于灵活的数据库查询，它们适合于表示数据库实例满足查询条件的程度。由于灵活的查询可以施加多个条件，每个条件具有不同的重要性，因此必须进行加权聚合。本文提出了扩展的可能性真值的加权聚合。处理了在合取和合取聚合中权重对扩展的可能真值的影响。说明了不同的聚合类型需要不同的方法。将合并和析取聚合混合在一起的情况要特别注意。结果表明，权重将必须在整个计算过程中传播，但这会导致基本属性（如关联性）丢失。说明了可能出现的问题并提出了解决方案。

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  • 来源
    《Fuzzy sets and systems》 |2009年第15期|2141-2158|共18页
  • 作者

    Tom Matthe; Guy De Tre; Axel Hallez;

  • 作者单位

    Ghent University, Department of Telecommunications and Information Processing, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium;

    Ghent University, Department of Telecommunications and Information Processing, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium;

    Ghent University, Department of Telecommunications and Information Processing, Sint-Pietersnieuwstraat 41, B-9000 Gent, Belgium;

  • 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

    fuzzy connectives and aggregation operators; flexible querying; extended possibilistic truth values;

    机译：模糊连接词和聚合算子;灵活的查询;扩展可能性真值;

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