Discrete t-norms in a fuzzy mathematical morphology: Algebraic properties and experimental results

@article{Hidalgo2010DiscreteTI,
  title={Discrete t-norms in a fuzzy mathematical morphology: Algebraic properties and experimental results},
  author={Manuel Gonz{\'a}lez Hidalgo and Sebasti{\`a} Massanet and Joan Torrens},
  journal={International Conference on Fuzzy Systems},
  year={2010},
  pages={1-8}
}
In this paper, a new approach to fuzzy mathematical morphology based on discrete t-norms is studied. It is proved that the most usual algebraic and morphological properties are preserved, such as, duality, monotonicity, interaction with union and intersection, invariance under translating and scaling, local knowledge property, extensitivity, idempotence, and many others. In fact, all properties satisfied by the approach based on nilpotent t-norms hold in the discrete case. This is quite… CONTINUE READING
3 Citations
19 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 19 references

Classical and fuzzy approaches towards mathematical morphology

  • M. Nachtegael, E. Kerre
  • Fuzzy techniques in image processing, ser…
  • 2000
Highly Influential
5 Excerpts

Image analysis and mathematical morphology, vols

  • J. Serra
  • 1988
Highly Influential
10 Excerpts

Triangular norms in discrete settings

  • G. Mayor, J. Torrens
  • Logical, Algebraic, Analytic, and Probabilistic…
  • 2005
Highly Influential
4 Excerpts

Uncertainty Analysis in Engineering and Sciences: Fuzzy Logic, Statistics, and Neural Network Approach

  • B. De Baets
  • Kluwer Academic Publishers,
  • 1997
Highly Influential
6 Excerpts

Fuzzy morphology based on uninorms: Image edge-detection. opening and closing

  • M. González-Hidalgo, A. Mir-Torres, D. Ruiz-Aguilera, J. Torrens
  • Computational Vision and Medical Image Processing…
  • 2008
2 Excerpts

Similar Papers

Loading similar papers…