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Fuzzy neighborhood operators based on fuzzy coverings

机译：基于模糊覆盖的模糊邻域算子

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摘要

In many data mining processes, neighborhood operators play an important role as they are generalizations of equivalence classes which were used in the original rough set model of Pawlak. In this article, we introduce the notion of fuzzy neighborhood system of an object based on a given fuzzy covering, as well as the notion of the fuzzy minimal and maximal descriptions of an object. Moreover, we extend the definition of four covering-based neighborhood operators as well as six derived coverings discussed by Yao and Yao to the fuzzy setting. We combine these fuzzy neighborhood operators and fuzzy coverings and prove that only sixteen different fuzzy neighborhood operators are obtained. Moreover, we study the partial order relations between those sixteen operators. (C) 2016 Elsevier B.V. All rights reserved.
机译：在许多数据挖掘过程中，邻域运算符起着重要作用，因为它们是等价类的概括，这些等价类在Pawlak的原始粗集模型中使用。在本文中，我们介绍了基于给定的模糊覆盖率的对象的模糊邻域系统的概念，以及对象的模糊最小和最大描述的概念。此外，我们将四个基于覆盖的邻域运算符的定义以及由Yao和Yao讨论的六个衍生覆盖范围扩展到模糊设置。我们将这些模糊邻域算子和模糊覆盖物相结合，证明仅获得了十六种不同的模糊邻域算子。此外，我们研究了这16个算子之间的偏序关系。 （C）2016 Elsevier B.V.保留所有权利。

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  • 来源
    《Fuzzy sets and systems》 |2017年第1期|17-35|共19页
  • 作者

    Deer Lynn; Cornelis Chris; Godo Lluis;

  • 作者单位

    Univ Ghent, Dept Appl Math Comp Sci & Stat, B-9000 Ghent, Belgium;

    Univ Ghent, Dept Appl Math Comp Sci & Stat, B-9000 Ghent, Belgium|Univ Granada, Res Ctr Informat & Commun Technol CITIC UGR, Dept Comp Sci & Artificial Intelligence, E-18071 Granada, Spain;

    CSIC, Spanish Natl Res Council, Artificial Intelligence Res Inst IIIA, Bellaterra, Spain;

  • 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 coverings; Fuzzy neighborhood operators; Rough sets;

    机译：模糊覆盖;模糊邻域算子;粗糙集;

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