Eurofuse 2011 pp 339-350 | Cite as

Histograms for Fuzzy Color Spaces

  • J. Chamorro-Martínez
  • D. Sánchez
  • J. M. Soto-Hidalgo
  • P. Martínez-Jiménez
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 107)


In this paper we introduce two kinds of fuzzy histograms on the basis of fuzzy colors in a fuzzy color space and the notion of gradual number by Dubois and Prade. Fuzzy color spaces are a collection of fuzzy sets providing a suitable, conceptual quantization with soft boundaries of crisp color spaces. Gradual numbers assign numbers to values of a relevance scale, typically [0,1]. Contrary to convex fuzzy subsets of numbers (called fuzzy numbers, but corresponding to fuzzy intervals as an assignment of intervals to values of [0,1]), they provide a more precise representation of the cardinality of a fuzzy set. Histograms based on gradual numbers are particularly well-suited for serving as input to another process. On the contrary, they are not the best choice when showing the information to a human user. For this second case, linguistic labels represented by fuzzy numbers are a better alternative, so we define linguistic histograms as an assignment of linguistic labels to each fuzzy color. We provide a way to calculate linguistic histograms based on the compatibility between gradual numbers and linguistic labels. We illustrate our proposals with some examples.


Fuzzy Number Color Space Voronoi Diagram Color Histogram Fuzzy Subset 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • J. Chamorro-Martínez
    • 1
  • D. Sánchez
    • 1
    • 2
  • J. M. Soto-Hidalgo
    • 3
  • P. Martínez-Jiménez
    • 1
  1. 1.Dept. Computer Science and A.I.University of GranadaSpain
  2. 2.European Centre for Soft ComputingMieresSpain
  3. 3.Department of Computer Architecture, Electronics and Electronic TechnologyUniversity of CórdobaSpain

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