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Red and blue galaxies are traditionally classified using some specific cutsin colour or other galaxy properties, which are supported by empiricalarguments. The vagueness associated with such cuts are likely to introduce asignificant contamination in these samples. Fuzzy sets are vague boundary setswhich can efficiently capture the classification uncertainty in the absence ofany precise boundary. We propose a method for classification of galaxiesaccording to their colours using fuzzy set theory. We use data from the SDSS toconstruct a fuzzy set for red galaxies with its members having differentdegrees of `redness'. We show that the fuzzy sets for the blue and greengalaxies can be obtained from it using different fuzzy operations. We alsoexplore the possibility of using fuzzy relation to study the relationshipbetween different galaxy properties and discuss its strengths and limitations.

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