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arXiv 2005.11678astro-ph.GAastro-ph.CO
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红、蓝、绿星系的模糊分类方法

A method for classification of red, blue and green galaxies using fuzzy set theory

Biswajit Pandey

摘要:

红星系和蓝星系传统上是用一些特定的颜色或其他星系属性来分类的,这些都得到了经验论据的支持。与这种切割相关的严重性可能会在这些样品中引入显著的污染。模糊集是一种模糊边界集,它可以在没有精确边界的情况下有效地捕捉分类的不确定性。我们提出了一种方法,根据它们的颜色使用模糊集理论的星系分类。我们使用的数据从SDSS构建一个模糊集的红星系,其成员具有不同程度的“红度”。我们表明,蓝色和绿色的星系的模糊集,可以从它使用不同的模糊操作。我们还探讨了利用模糊关系来研究不同星系性质之间关系的可能性,并讨论了它的优点和局限性。

英文摘要:

Red and blue galaxies are traditionally classified using some specific cuts in colour or other galaxy properties, which are supported by empirical arguments. The vagueness associated with such cuts are likely to introduce a significant contamination in these samples. Fuzzy sets are vague boundary sets which can efficiently capture the classification uncertainty in the absence of any precise boundary. We propose a method for classification of galaxies according to their colours using fuzzy set theory. We use data from the SDSS to construct a fuzzy set for red galaxies with its members having different degrees of `redness'. We show that the fuzzy sets for the blue and green galaxies can be obtained from it using different fuzzy operations. We also explore the possibility of using fuzzy relation to study the relationship between different galaxy properties and discuss its strengths and limitations.

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