| 三种近似算子之间的关系 |
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| 引用本文： | 鲁巡,李妍妍,秦克云.三种近似算子之间的关系[J].计算机科学,2021,48(4):49-53. |
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| 作者姓名： | 鲁巡 李妍妍 秦克云 |
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| 作者单位： | 西南交通大学数学学院 成都 611756 |
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| 摘 要： | 在广义近似空间中,可以从对象、知识粒以及子系统的角度构造3种不同类型的广义粗糙近似算子。文中研究了这些近似算子的基本性质与相互关系,给出了3类近似算子相同的充要条件。另外,不同的近似空间可能生成相同的基于知识粒及基于子系统的近似算子,文中给出了不同二元关系生成相同近似算子的一些充要条件。
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| 关 键 词： | 广义近似空间 近似算子 左、右邻域 |
Relationship Among Three Types of Rough Approximation Pairs |
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| LU Xun,LI Yan-yan,QIN Ke-yun.Relationship Among Three Types of Rough Approximation Pairs[J].Computer Science,2021,48(4):49-53. |
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| Authors: | LU Xun LI Yan-yan QIN Ke-yun |
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| Affiliation: | (College of Mathematic,Southwest Jiaotong University,Chengdu 611756,China) |
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| Abstract: | In generalized approximation spaces,approximation operators can be constructed based on elements,knowledge gra-nules and subsystems.This paper is devoted to discussion of basic properties and relationships among these three types of approximation operators.Some necessary and sufficient conditions for approximation operators coincide with each other are provi-ded.In addition,different approximation spaces may generate same granule based or subsystem based rough approximation operators.Some necessary and sufficient conditions for different approximation spaces generating same approximate operators are surveyed. |
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| Keywords: | Generalized approximation space Approximation operator Left and right relative sets |
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