论文标题
使用模糊集理论对红色，蓝色和绿色星系进行分类的方法
A method for classification of red, blue and green galaxies using fuzzy set theory
论文作者
论文摘要
红色和蓝色的星系在传统上是使用颜色或其他星系特性的特定剪裁进行分类的，这些特性得到了经验论证的支持。与此类切割相关的模糊性可能会在这些样品中引入重大污染。模糊集是模糊的边界集，在没有任何精确边界的情况下，可以有效地捕获分类不确定性。我们使用模糊集理论提出了一种根据其颜色分类的方法。我们使用来自SDS的数据来构建一个模糊集，用于红色星系，其成员具有不同程度的“红色”。我们证明，可以使用不同的模糊操作从中获得蓝色和绿色星系的模糊集。我们还探索使用模糊关系来研究不同星系特性之间的关系并讨论其优势和局限性的可能性。
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.
