二元关系的复合与近似算子的合成

计算机科学 ›› 2009, Vol. 36 ›› Issue (2): 194-198.

二元关系的复合与近似算子的合成

徐优红

浙江海洋学院数理与信息学院,舟山316004

出版日期:2018-11-16 发布日期:2018-11-16
基金资助:
本文获得国家自然科学基金项目（No.60673096）,浙江省自然科学基金项目（No.Y107262）和浙江省教育厅科研计划项目（No.20070329）资助.

XU You-hong （School of Mathematics,Physics,and Information Science,Zhejiang Ocean University,Zhoushan 316004,China）

Online:2018-11-16 Published:2018-11-16

摘要/Abstract

摘要： 定义了各种类型的经典二元关系和模糊二元关系，讨论了二元关系的合成及其性质。给出了两个近似空间合成的概念，并讨论合成前的近似空间所导出的近似算子与合成后的近似空间所导出的近似算子之间的关系。证明了合成后的近似空间所导出的近似算子恰好是两个近似空间所导出的近似算子的合成。

关键词: 二元关系近似空间近似算子粗糙集

Abstract: Concepts of various types of crisp binary relations as well as fuzzy binary relations were defined, compounds of binary relations were investigated and their properties were examined. Compositions of approximation spaces and approximation operators were a

Key words: Binary relations, Approximation spaces, Approximation operators, Rough sets

徐优红. 二元关系的复合与近似算子的合成[J]. 计算机科学, 2009, 36(2): 194-198. https://doi.org/

XU You-hong （School of Mathematics,Physics,and Information Science,Zhejiang Ocean University,Zhoushan 316004,China）. [J]. Computer Science, 2009, 36(2): 194-198. https://doi.org/

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