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Basic properties of the interval-valued fuzzy morphological operators

Tom Mélange (UGent) , Mike Nachtegael (UGent) , Peter Sussner and Etienne Kerre (UGent)
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Abstract
Mathematical morphology is a theory to extract specific information such as edges and patterns from images. The original binary morphology, for binary black and white images, was extended to greyscale images, amongst others, by a fuzzy approach known as fuzzy mathematical morphology. This approach was based on the observation that greyscale images and fuzzy sets can be modelled in the same way. Recently, fuzzy mathematical morphology has been further extended based on extensions of classical fuzzy set theory. In this paper, we focus on the extension based on interval-valued fuzzy set theory, i.e., interval-valued fuzzy morphology, and we give an overview of the basic properties that hold in this model.
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Chicago
Mélange, Tom, Mike Nachtegael, Peter Sussner, and Etienne Kerre. 2010. “Basic Properties of the Interval-valued Fuzzy Morphological Operators.” In IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE.
APA
Mélange, T., Nachtegael, M., Sussner, P., & Kerre, E. (2010). Basic properties of the interval-valued fuzzy morphological operators. IEEE International Conference on Fuzzy Systems. Presented at the 2010 IEEE World congress on Computational Intelligence, New York, NY, USA: IEEE.
Vancouver
1.
Mélange T, Nachtegael M, Sussner P, Kerre E. Basic properties of the interval-valued fuzzy morphological operators. IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE; 2010.
MLA
Mélange, Tom, Mike Nachtegael, Peter Sussner, et al. “Basic Properties of the Interval-valued Fuzzy Morphological Operators.” IEEE International Conference on Fuzzy Systems. New York, NY, USA: IEEE, 2010. Print.
@inproceedings{2132623,
  abstract     = {Mathematical morphology is a theory to extract specific information such as edges and patterns from images. The original binary morphology, for binary black and white images, was extended to greyscale images, amongst others, by a fuzzy approach known as fuzzy mathematical morphology. This approach was based on the observation that greyscale images and fuzzy sets can be modelled in the same way. Recently, fuzzy mathematical morphology has been further extended based on extensions of classical fuzzy set theory. In this paper, we focus on the extension based on interval-valued fuzzy set theory, i.e., interval-valued fuzzy morphology, and we give an overview of the basic properties that hold in this model.},
  author       = {M{\'e}lange, Tom and Nachtegael, Mike and Sussner, Peter and Kerre, Etienne},
  booktitle    = {IEEE International Conference on Fuzzy Systems},
  isbn         = {9781424469208},
  issn         = {1098-7584},
  keyword      = {SETS},
  language     = {eng},
  location     = {Barcelona, Spain},
  pages        = {8},
  publisher    = {IEEE},
  title        = {Basic properties of the interval-valued fuzzy morphological operators},
  url          = {http://dx.doi.org/10.1109/FUZZY.2010.5583992},
  year         = {2010},
}

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