Fuzzy scalar and vector median filters based on fuzzy distances

@article{Chatzis1999FuzzySA,
  title={Fuzzy scalar and vector median filters based on fuzzy distances},
  author={Vassilios Chatzis and Ioannis Pitas},
  journal={IEEE transactions on image processing : a publication of the IEEE Signal Processing Society},
  year={1999},
  volume={8 5},
  pages={
          731-4
        }
}
  • Vassilios Chatzis, I. Pitas
  • Published 1 May 1999
  • Computer Science
  • IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
In this paper, the fuzzy scalar median (FSM) is proposed, defined by using ordering of fuzzy numbers based on fuzzy minimum and maximum operations defined by using the extension principle. Alternatively, the FSM is defined from the minimization of a fuzzy distance measure, and the equivalence of the two definitions is proven. Then, the fuzzy vector median (FVM) is proposed as an extension of vector median, based on a novel distance definition of fuzzy vectors, which satisfy the property of… 
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55 Citations
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Methods Citations
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55 Citations

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